Patent Publication Number: US-9838095-B2

Title: Higher rank codebooks for advanced wireless communication systems

Description:
CROSS-REFERENCE TO RELATED APPLICATION AND CLAIMS OF PRIORITY 
     This application claims priority under 35 U.S.C. §119(e) to:
         U.S. Provisional Patent Application No. 62/195,034 filed on Jul. 21, 2015;   U.S. Provisional Patent Application No. 62/200,399 filed on Aug. 3, 2015;   U.S. Provisional Patent Application No. 62/205,445 filed on Aug. 14, 2015;   U.S. Provisional Patent Application No. 62/208,230 filed on Aug. 21, 2015;   U.S. Provisional Patent Application No. 62/218,846 filed on Sep. 15, 2015;   U.S. Provisional Patent Application No. 62/235,947 filed on Oct. 1, 2015;   U.S. Provisional Patent Application No. 62/238,439 filed on Oct. 7, 2015;   U.S. Provisional Patent Application No. 62/244,592 filed on Oct. 21, 2015;   U.S. Provisional Patent Application No. 62/260,060 filed on Nov. 25, 2015; and   U.S. Provisional Patent Application No. 62/294,712 filed on Feb. 12, 2016.
 
The above-identified provisional patent applications are hereby incorporated by reference in their entirety.
       

    
    
     TECHNICAL FIELD 
     The present disclosure relates generally to a codebook design and structure associated with a two dimensional transmit antenna array. Such two dimensional arrays are associated with a type of multiple-input-multiple-output (MIMO) system often termed “full-dimension” MIMO (FD-MIMO). 
     BACKGROUND 
     Wireless communication has been one of the most successful innovations in modern history. Recently, the number of subscribers to wireless communication services exceeded five billion and continues to grow quickly. The demand of wireless data traffic is rapidly increasing due to the growing popularity among consumers and businesses of smart phones and other mobile data devices, such as tablets, “note pad” computers, net books, eBook readers, and machine type of devices. In order to meet the high growth in mobile data traffic and support new applications and deployments, improvements in radio interface efficiency and coverage is of paramount importance. 
     SUMMARY 
     The present disclosure relates to a pre-5th-Generation (5G) or 5G communication system to be provided for supporting higher data rates beyond 4th-Generation (4G) communication system such as Long Term Evolution (LTE). 
     In a first embodiment, a user equipment (UE) capable of communicating with a base station (BS) comprising a plurality of antenna ports P. The UE includes a transceiver configured to receive downlink signals indicating precoder codebook parameters, the downlink signal including first and second quantities of antenna ports (N 1 , N 2 ) indicating respective quantities of antenna ports in first and second dimensions, first and second oversampling factors (O 1 , O 2 ) indicating respective oversampling factors for DFT beams in the first and second dimensions, and a codebook subset selection configuration among a plurality of codebook subset selection configurations, and a controller configured to determine first and second beam skip numbers (S 1 , S 2 ) indicating respective differences of leading beam indices of two adjacent beam groups in the first and second dimensions, determine a plurality of precoding matrix indicators (PMIs) including a first PMI pair (i 1,1 , i 1,2 ) and a second PMI i 2 , based on the received downlink signals and the skip numbers (S 1 , S 2 ), and cause the transceiver to transmit uplink signals containing the plurality of PMIs to the base station, wherein the skip numbers (S 1 , S 2 ) for rank 3 and 4 are defined as: (S 1 , S 2 )=(1, 1) when the codebook subset selection configuration is equal to 1; 
               (       S   1     ,     S   2       )     =     (         O   1     2     ,       O   2     2       )           
when the codebook subset selection configuration is equal to 2;
 
               (       S   1     ,     S   2       )     =     (       O   1     ,       O   2     2       )           
when the codebook subset selection configuration is equal to 3; and
 
               (       S   1     ,     S   2       )     =     (       O   1     ,       O   2     4       )           
for the codebook subset selection configuration being equal to 4, wherein the parameters (S 1 , S 2 ) for rank 1 and 2 are defined as: (S 1 , S 2 )=(1, 1) when the codebook subset selection configuration is equal to 1; and (S 1 , S 2 )=(2, 2) when the codebook subset selection configuration is equal to 2, 3, and 4, wherein the parameters (S 1 , S 2 ) for rank 5 to 8 are defined as: (S 1 , S 2 )=(1, 1) when the codebook subset selection configuration is equal to 1; and
 
               (       S   1     ,     S   2       )     =     (         O   1     4     ,       O   2     4       )           
when the codebook subset selection configuration is equal to 2, 3, and 4.
 
     A base station (BS) comprising a plurality of antenna ports p, the BS includes a transmitter configured to transmit downlink signals indicating precoder codebook parameters, the downlink signal including first and second quantities of antenna ports (N 1 , N 2 ) indicating respective quantities of antenna ports in first and second dimensions, first and second oversampling factors (O 1 , O 2 ) indicating respective oversampling factors for DFT beams in the first and second dimensions, and a codebook subset selection configuration among a plurality of codebook subset selection configurations, a receiver configured to receive a plurality of precoding matrix indicators (PMIs) including a first PMI pair (i 1,1 , i 1,2 ) and a second PMI i 2 , determined based on the received downlink signals and skip numbers (S 1 , S 2 ), and a controller configured to determine a precoder to precoding a transmission signal based on the plurality of PMIs, wherein the skip numbers (S 1 , S 2 ) for rank 3 and 4 are defined as: (S 1 , S 2 )=(1, 1) when the codebook subset selection configuration is equal to 1; 
               (       S   1     ,     S   2       )     =     (         O   1     2     ,       O   2     2       )           
when the codebook subset selection configuration is equal to 2;
 
               (       S   1     ,     S   2       )     =     (       O   1     ,       O   2     2       )           
when the codebook subset selection configuration is equal to 3; and
 
               (       S   1     ,     S   2       )     =     (       O   1     ,       O   2     4       )           
for the codebook subset selection configuration being equal to 4, wherein the parameters (S 1 , S 2 ) for rank 1 and 2 are defined as: (S 1 , S 2 )=(1, 1) when the codebook subset selection configuration is equal to 1; and (S 1 , S 2 )=(2, 2) when the codebook subset selection configuration is equal to 2, 3, and 4, wherein the parameters (S 1 , S 2 ) for rank 5 to 8 are defined as: (S 1 , S 2 )=(1, 1) when the codebook subset selection configuration is equal to 1; and
 
               (       S   1     ,     S   2       )     =     (         O   1     4     ,       O   2     4       )           
when the codebook subset selection configuration is equal to 2, 3, and 4.
 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       For a more complete understanding of the present disclosure and its advantages, reference is now made to the following description taken in conjunction with the accompanying drawings, in which like reference numerals represent like parts: 
         FIG. 1  illustrates an example wireless network according to this disclosure; 
         FIGS. 2A and 2B  illustrate example wireless transmit and receive paths according to this disclosure; 
         FIG. 3A  illustrates an example user equipment according to this disclosure; 
         FIG. 3B  illustrates an example enhanced NodeB (eNB) according to this disclosure; 
         FIG. 4  illustrates logical port to antenna port mapping  400  that may be employed within the wireless communication system according to some embodiments of the current disclosure; 
         FIG. 5A  illustrates a 4×4 dual-polarized antenna array  500  with antenna port (AP) indexing 1 and  FIG. 5B  is the same 4×4 dual-polarized antenna array  510  with antenna port indexing (AP) indexing 2 according to embodiments of the present disclosure; 
         FIG. 6  illustrates numbering of TX antenna elements (or TXRU) on a dual-polarized antenna array according to embodiments of the present disclosure; 
         FIG. 7  illustrates beam grouping scheme, referred to as Scheme 1 according to embodiments of the present disclosure; 
         FIG. 8  illustrates beam grouping scheme, referred to as Scheme 2 according to embodiments of the present disclosure; 
         FIG. 9  illustrates beam grouping scheme, referred to as Scheme 3 according to embodiments of the present disclosure; 
         FIG. 10  illustrates beam group type 1: co-phase orthogonality according to embodiments of the present disclosure; 
         FIG. 11  illustrates an illustration of beam group type 2: horizontal beam orthogonality according to embodiments of the present disclosure; 
         FIG. 12  illustrates an illustration of beam group type 3: vertical beam orthogonality according to embodiments of the present disclosure; 
         FIG. 13  illustrates beam group type 4: both horizontal and vertical beam orthogonality; 
         FIG. 14  illustrates subset restriction on rank-1 i 2  according to the embodiments of the present disclosure; 
         FIG. 15  illustrates example beam indices in a beam group for the three beam grouping schemes  1500  according to the embodiments of the present disclosure; 
         FIG. 16  illustrates different alternatives for remaining four rank 2 beam pairs for (L 1 ,L 2 )=(2,2) according to the embodiments of the present disclosure; 
         FIG. 17  illustrates total rank-2 beam pair combinations with 16 beams per layer according to embodiments of the present disclosure; 
         FIG. 18  illustrates rank-2 beam pair combinations obtained with extension of Rel-10 8-Tx design to 2D according to embodiments of the present disclosure; 
         FIG. 19  illustrates a method to construct rank-2 master codebook according to some embodiments of the present disclosure; 
         FIGS. 20A to 20D  illustrates antenna configurations and antenna numbering according to some embodiments of the present disclosure; 
         FIG. 21  illustrates that a precoder codebook construction according to some embodiments of the present disclosure; 
         FIG. 22  illustrates an example 1D antenna configurations and antenna numbering—16 port according to embodiments of the present disclosure; 
         FIG. 23  illustrates an example 1D antenna configurations and antenna numbering—12 port according to embodiments of the present disclosure; 
         FIG. 24  illustrates the master beam group for 12 and 16 ports according to some embodiments of the present disclosure; 
         FIG. 25  illustrates beam grouping schemes for rank 3-8 according to some embodiments of the present disclosure; 
         FIG. 26  illustrates example beam grouping schemes for rank 3-4 according to some embodiments of the present disclosure; 
         FIG. 27  illustrates example beam grouping schemes for rank 3-4 according to some embodiments of the present disclosure; 
         FIG. 28  illustrates beam grouping schemes for rank 3-4 according to some embodiments of the present disclosure; 
         FIG. 29  illustrates example rank 3-4 orthogonal beam pairs for 2 antenna ports in shorter dimension according to some embodiments of the present disclosure; 
         FIG. 30  illustrates beam grouping schemes for rank 3-4: N 1 ≧N 2  case according to some embodiments of the present disclosure; 
         FIG. 31  illustrates rank 3-4 orthogonal beam pairs for N 2 ≧4 antenna ports in shorter dimension according to some embodiments of the present disclosure; 
         FIG. 32  illustrates rank 5-8 orthogonal beam combinations for (N 1 ,N 2 )=(4,2) according to some embodiments of the present disclosure; 
         FIG. 33  illustrates rank 5-8 orthogonal beam combinations for (N 1 ,N 2 )=(3,2) according to some embodiments of the present disclosure; 
         FIG. 34  illustrates the rank 3-4 master codebook comprising W1 beam groups according to some embodiments of the present disclosure; 
         FIG. 35  illustrates beam grouping schemes for rank 3-4 according to embodiments of the present disclosure; 
         FIGS. 36A and 36B  illustrate beam grouping schemes for rank 3-4 according to embodiments of the present disclosure; 
         FIG. 37  illustrates an alternate rank 3-8 codebook design 1  3700 : (L 1 ,L 2 )=(4,2) according to embodiments of the present disclosure; 
         FIG. 38  illustrates an alternate rank 3-8 codebook design 2  3800 : (L 1 ,L 2 )=(4,1) according to embodiments of the present disclosure; 
         FIG. 39  illustrates an alternate rank 3-8 codebook design 3  3900 : (L 1 ,L 2 )=(2,2) according to embodiments of the present disclosure; 
         FIG. 40  illustrates an alternate rank 3-8 codebook design 4  4000 : (L 1 ,L 2 )=(2,1) according to embodiments of the present disclosure; 
         FIG. 41  illustrates example orthogonal beams for rank 3-4 when k=0 according to some embodiments of the present disclosure; 
         FIG. 42  illustrates alternate rank 5-6 orthogonal beam types  4200  according to embodiments of the present disclosure; 
         FIG. 43  illustrates an alternate rank 7-8 orthogonal beam types according to embodiments of the present disclosure; 
         FIG. 44  illustrates three example orthogonal-beam groups  4400 , indexed by k=0,1,2 for rank 3-4 according to some embodiments of the present disclosure; 
         FIG. 45  illustrates example orthogonal beams  4500  for rank 3-4 when k=0 according to some embodiments of the present disclosure; 
         FIG. 46  illustrates orthogonal beam grouping  4600  for rank 5-8: 16 ports according to some embodiments of the present disclosure; 
         FIG. 47  illustrates example orthogonal beam grouping for rank 5-8: 12 ports according to embodiments of the present disclosure; 
         FIG. 48  illustrates example orthogonal beam grouping for rank 5-8: 8 ports according to embodiments of the present disclosure; 
         FIG. 49  illustrates an example of orthogonal beam group for 1D port layout according to embodiments of the present disclosure; 
         FIG. 50  illustrates an example of orthogonal beam group for 1D port layout according to embodiments of the present disclosure; 
         FIG. 51  illustrates an example of orthogonal beam group  5100  for 1D port layout according to embodiments of the present disclosure; 
         FIG. 52  illustrates an example of orthogonal beam group  5200  for 1D port layout according to embodiments of the present disclosure; 
         FIGS. 53A and 53B  illustrate an alternate rank 3-8 codebook design 1: (L 1 ,L 2 )=(4,2) according to embodiments of the present disclosure; 
         FIG. 54  illustrates an alternate rank 3-8 codebook design 2: (L 1 ,L 2 )=(4,1) according to embodiments of the present disclosure; 
         FIGS. 55A and 55B  illustrate an alternate rank 3-8 codebook design 3: (L 1 ,L 2 )=(2,2) according to embodiments of the present disclosure; 
         FIGS. 56A and 56B  illustrate an alternate rank 3-8 codebook design 4: (L 1 ,L 2 )=(2,1) according to embodiments of the present disclosure; and 
         FIGS. 57A and 56B  illustrate example CSS configurations for Tables 74 and 76, respectively. 
     
    
    
     DETAILED DESCRIPTION 
       FIGS. 1 through 56 , discussed below, and the various embodiments used to describe the principles of the present disclosure in this patent document are by way of illustration only and should not be construed in any way to limit the scope of the disclosure. Those skilled in the art will understand that the principles of the present disclosure may be implemented in any suitably arranged wireless communication system. 
     The following documents and standards descriptions are hereby incorporated by reference into the present disclosure as if fully set forth herein: (1) 3rd generation partnership project 3GPP TS 36.211, “E-UTRA, Physical channels and modulation”, Release-12; (2) 3GPP TS 36.212, “E-UTRA, Multiplexing and channel coding”, Release-12; and (3) 3GPP TS 36.213, “E-UTRA, Physical layer procedures”, Release-12. 
     To meet the demand for wireless data traffic having increased since deployment of 4G communication systems, efforts have been made to develop an improved 5G or pre-5G communication system. Therefore, the 5G or pre-5G communication system is also called a ‘Beyond 4G Network’ or a ‘Post LTE System’. 
     The 5G communication system is considered to be implemented in higher frequency (mmWave) hands, e.g., 60 GHz hands, so as to accomplish higher data rates. To decrease propagation loss of the radio waves and increase the transmission distance, the beamforming, massive multiple-input multiple-output (MIMO), Full Dimensional MIMO (FD-MIMO), array antenna, an analog beam forming, large scale antenna techniques are discussed in 5G communication systems. 
     In addition, in 5G communication systems, development for system network improvement is under way based on advanced small cells, cloud Radio Access Networks (RANs), ultra-dense networks, device-to-device (D2D) communication, wireless backhaul, moving network, cooperative communication, Coordinated Multi-Points (CoMP), reception-end interference cancellation and the like. 
     In the 5G system, Hybrid FSK and QAM Modulation (FQAM) and sliding window superposition coding (SWSC) as an advanced coding modulation (ACM), and filter bank multi carrier (FBMC), non-orthogonal multiple access (NOMA), and sparse code multiple access (SCMA) as an advanced access technology have been developed. 
       FIG. 1  illustrates an example wireless network  100  according to this disclosure. The embodiment of the wireless network  100  shown in  FIG. 1  is for illustration only. Other embodiments of the wireless network  100  could be used without departing from the scope of this disclosure. 
     The wireless network  100  includes an eNodeB (eNB)  101 , an eNB  102 , and an eNB  103 . The eNB  101  communicates with the eNB  102  and the eNB  103 . The eNB  101  also communicates with at least one Internet Protocol (IP) network  130 , such as the Internet, a proprietary IP network, or other data network. 
     Depending on the network type, other well-known terms may be used instead of “eNodeB” or “eNB,” such as “base station” or “access point.” For the sake of convenience, the terms “eNodeB” and “eNB” are used in this patent document to refer to network infrastructure components that provide wireless access to remote terminals. Also, depending on the network type, other well-known terms may be used instead of “user equipment” or “UE,” such as “mobile station,” “subscriber station,” “remote terminal,” “wireless terminal,” or “user device.” For the sake of convenience, the terms “user equipment” and “UE” are used in this patent document to refer to remote wireless equipment that wirelessly accesses an eNB, whether the UE is a mobile device (such as a mobile telephone or smartphone) or is normally considered a stationary device (such as a desktop computer or vending machine). 
     The eNB  102  provides wireless broadband access to the network  130  for a first plurality of user equipments (UEs) within a coverage area  120  of the eNB  102 . The first plurality of UEs includes a UE  111 , which may be located in a small business (SB); a UE  112 , which may be located in an enterprise (E); a UE  113 , which may be located in a WiFi hotspot (HS); a UE  114 , which may be located in a first residence (R); a UE  115 , which may be located in a second residence (R); and a UE  116 , which may be a mobile device (M) like a cell phone, a wireless laptop, a wireless PDA, or the like. The eNB  103  provides wireless broadband access to the network  130  for a second plurality of UEs within a coverage area  125  of the eNB  103 . The second plurality of UEs includes the UE  115  and the UE  116 . In some embodiments, one or more of the eNBs  101 - 103  may communicate with each other and with the UEs  111 - 116  using 5G, long-term evolution (LTE), LTE-A, WiMAX, or other advanced wireless communication techniques. 
     Dotted lines show the approximate extents of the coverage areas  120  and  125 , which are shown as approximately circular for the purposes of illustration and explanation only. It should be clearly understood that the coverage areas associated with eNBs, such as the coverage areas  120  and  125 , may have other shapes, including irregular shapes, depending upon the configuration of the eNBs and variations in the radio environment associated with natural and man-made obstructions. 
     As described in more detail below, one or more of BS  101 , BS  102  and BS  103  include 2D antenna arrays as described in embodiments of the present disclosure. In some embodiments, one or more of BS  101 , BS  102  and BS  103  support the codebook design and structure for systems having 2D antenna arrays. 
     Although  FIG. 1  illustrates one example of a wireless network  100 , various changes may be made to  FIG. 1 . For example, the wireless network  100  could include any number of eNBs and any number of UEs in any suitable arrangement. Also, the eNB  101  could communicate directly with any number of UEs and provide those UEs with wireless broadband access to the network  130 . Similarly, each eNB  102 - 103  could communicate directly with the network  130  and provide UEs with direct wireless broadband access to the network  130 . Further, the eNB  101 ,  102 , and/or  103  could provide access to other or additional external networks, such as external telephone networks or other types of data networks. 
       FIGS. 2A and 2B  illustrate example wireless transmit and receive paths according to this disclosure. In the following description, a transmit path  200  may be described as being implemented in an eNB (such as eNB  102 ), while a receive path  250  may be described as being implemented in a UE (such as UE  116 ). However, it will be understood that the receive path  250  could be implemented in an eNB and that the transmit path  200  could be implemented in a UE. In some embodiments, the receive path  250  is configured to support the codebook design and structure for systems having 2D antenna arrays as described in embodiments of the present disclosure. 
     The transmit path  200  includes a channel coding and modulation block  205 , a serial-to-parallel (S-to-P) block  210 , a size N Inverse Fast Fourier Transform (IFFT) block  215 , a parallel-to-serial (P-to-S) block  220 , an add cyclic prefix block  225 , and an up-converter (UC)  230 . The receive path  250  includes a down-converter (DC)  255 , a remove cyclic prefix block  260 , a serial-to-parallel (S-to-P) block  265 , a size N Fast Fourier Transform (FFT) block  270 , a parallel-to-serial (P-to-S) block  275 , and a channel decoding and demodulation block  280 . 
     In the transmit path  200 , the channel coding and modulation block  205  receives a set of information bits, applies coding (such as a low-density parity check (LDPC) coding), and modulates the input bits (such as with Quadrature Phase Shift Keying (QPSK) or Quadrature Amplitude Modulation (QAM)) to generate a sequence of frequency-domain modulation symbols. The serial-to-parallel block  210  converts (such as de-multiplexes) the serial modulated symbols to parallel data in order to generate N parallel symbol streams, where N is the IFFT/FFT size used in the eNB  102  and the UE  116 . The size N IFFT block  215  performs an IFFT operation on the N parallel symbol streams to generate time-domain output signals. The parallel-to-serial block  220  converts (such as multiplexes) the parallel time-domain output symbols from the size N IFFT block  215  in order to generate a serial time-domain signal. The add cyclic prefix block  225  inserts a cyclic prefix to the time-domain signal. The up-converter  230  modulates (such as up-converts) the output of the add cyclic prefix block  225  to an RF frequency for transmission via a wireless channel. The signal may also be filtered at baseband before conversion to the RF frequency. 
     A transmitted RF signal from the eNB  102  arrives at the UE  116  after passing through the wireless channel, and reverse operations to those at the eNB  102  are performed at the UE  116 . The down-converter  255  down-converts the received signal to a baseband frequency, and the remove cyclic prefix block  260  removes the cyclic prefix to generate a serial time-domain baseband signal. The serial-to-parallel block  265  converts the time-domain baseband signal to parallel time domain signals. The size N FFT block  270  performs an FFT algorithm to generate N parallel frequency-domain signals. The parallel-to-serial block  275  converts the parallel frequency-domain signals to a sequence of modulated data symbols. The channel decoding and demodulation block  280  demodulates and decodes the modulated symbols to recover the original input data stream. 
     Each of the eNBs  101 - 103  may implement a transmit path  200  that is analogous to transmitting in the downlink to UEs  111 - 116  and may implement a receive path  250  that is analogous to receiving in the uplink from UEs  111 - 116 . Similarly, each of UEs  111 - 116  may implement a transmit path  200  for transmitting in the uplink to eNBs  101 - 103  and may implement a receive path  250  for receiving in the downlink from eNBs  101 - 103 . 
     Each of the components in  FIGS. 2A and 2B  can be implemented using only hardware or using a combination of hardware and software/firmware. As a particular example, at least some of the components in  FIGS. 2A and 2B  may be implemented in software, while other components may be implemented by configurable hardware or a mixture of software and configurable hardware. For instance, the FFT block  270  and the IFFT block  215  may be implemented as configurable software algorithms, where the value of size N may be modified according to the implementation. 
     Furthermore, although described as using FFT and IFFT, this is by way of illustration only and should not be construed to limit the scope of this disclosure. Other types of transforms, such as Discrete Fourier Transform (DFT) and Inverse Discrete Fourier Transform (IDFT) functions, could be used. It will be appreciated that the value of the variable N may be any integer number (such as 1, 2, 3, 4, or the like) for DFT and IDFT functions, while the value of the variable N may be any integer number that is a power of two (such as 1, 2, 4, 8, 16, or the like) for FFT and IFFT functions. 
     Although  FIGS. 2A and 2B  illustrate examples of wireless transmit and receive paths, various changes may be made to  FIGS. 2A and 2B . For example, various components in  FIGS. 2A and 2B  could be combined, further subdivided, or omitted and additional components could be added according to particular needs. Also,  FIGS. 2A and 2B  are meant to illustrate examples of the types of transmit and receive paths that could be used in a wireless network. Any other suitable architectures could be used to support wireless communications in a wireless network. 
       FIG. 3A  illustrates an example UE  116  according to this disclosure. The embodiment of the UE  116  illustrated in  FIG. 3A  is for illustration only, and the UEs  111 - 115  of  FIG. 1  could have the same or similar configuration. However, UEs come in a wide variety of configurations, and  FIG. 3A  does not limit the scope of this disclosure to any particular implementation of a UE. 
     The UE  116  includes an antenna  305 , a radio frequency (RF) transceiver  310 , transmit (TX) processing circuitry  315 , a microphone  320 , and receive (RX) processing circuitry  325 . The UE  116  also includes a speaker  330 , a main processor  340 , an input/output (I/O) interface (IF)  345 , a keypad  350 , a display  355 , and a memory  360 . The memory  360  includes a basic operating system (OS) program  361  and one or more applications  362 . 
     The RF transceiver  310  receives, from the antenna  305 , an incoming RF signal transmitted by an eNB of the network  100 . The RF transceiver  310  down-converts the incoming RF signal to generate an intermediate frequency (IF) or baseband signal. The IF or baseband signal is sent to the RX processing circuitry  325 , which generates a processed baseband signal by filtering, decoding, and/or digitizing the baseband or IF signal. The RX processing circuitry  325  transmits the processed baseband signal to the speaker  330  (such as for voice data) or to the main processor  340  for further processing (such as for web browsing data). 
     The TX processing circuitry  315  receives analog or digital voice data from the microphone  320  or other outgoing baseband data (such as web data, e-mail, or interactive video game data) from the main processor  340 . The TX processing circuitry  315  encodes, multiplexes, and/or digitizes the outgoing baseband data to generate a processed baseband or IF signal. The RF transceiver  310  receives the outgoing processed baseband or IF signal from the TX processing circuitry  315  and up-converts the baseband or IF signal to an RF signal that is transmitted via the antenna  305 . 
     The main processor  340  can include one or more processors or other processing devices and execute the basic OS program  361  stored in the memory  360  in order to control the overall operation of the UE  116 . For example, the main processor  340  could control the reception of forward channel signals and the transmission of reverse channel signals by the RF transceiver  310 , the RX processing circuitry  325 , and the TX processing circuitry  315  in accordance with well-known principles. In some embodiments, the main processor  340  includes at least one microprocessor or microcontroller. 
     The main processor  340  is also capable of executing other processes and programs resident in the memory  360 , such as operations for channel quality measurement and reporting for systems having 2D antenna arrays as described in embodiments of the present disclosure as described in embodiments of the present disclosure. The main processor  340  can move data into or out of the memory  360  as required by an executing process. In some embodiments, the main processor  340  is configured to execute the applications  362  based on the OS program  361  or in response to signals received from eNBs or an operator. The main processor  340  is also coupled to the I/O interface  345 , which provides the UE  116  with the ability to connect to other devices such as laptop computers and handheld computers. The I/O interface  345  is the communication path between these accessories and the main controller  340 . 
     The main processor  340  is also coupled to the keypad  350  and the display unit  355 . The operator of the UE  116  can use the keypad  350  to enter data into the UE  116 . The display  355  may be a liquid crystal display or other display capable of rendering text and/or at least limited graphics, such as from web sites. 
     The memory  360  is coupled to the main processor  340 . Part of the memory  360  could include a random access memory (RAM), and another part of the memory  360  could include a Flash memory or other read-only memory (ROM). 
     Although  FIG. 3A  illustrates one example of UE  116 , various changes may be made to  FIG. 3A . For example, various components in  FIG. 3A  could be combined, further subdivided, or omitted and additional components could be added according to particular needs. As a particular example, the main processor  340  could be divided into multiple processors, such as one or more central processing units (CPUs) and one or more graphics processing units (GPUs). Also, while  FIG. 3A  illustrates the UE  116  configured as a mobile telephone or smartphone, UEs could be configured to operate as other types of mobile or stationary devices. 
       FIG. 3B  illustrates an example eNB  102  according to this disclosure. The embodiment of the eNB  102  shown in  FIG. 3B  is for illustration only, and other eNBs of  FIG. 1  could have the same or similar configuration. However, eNBs come in a wide variety of configurations, and  FIG. 3B  does not limit the scope of this disclosure to any particular implementation of an eNB. It is noted that eNB  101  and eNB  103  can include the same or similar structure as eNB  102 . 
     As shown in  FIG. 3B , the eNB  102  includes multiple antennas  370   a - 370   n , multiple RF transceivers  372   a - 372   n , transmit (TX) processing circuitry  374 , and receive (RX) processing circuitry  376 . In certain embodiments, one or more of the multiple antennas  370   a - 370   n  include 2D antenna arrays. The eNB  102  also includes a controller/processor  378 , a memory  380 , and a backhaul or network interface  382 . 
     The RF transceivers  372   a - 372   n  receive, from the antennas  370   a - 370   n , incoming RF signals, such as signals transmitted by UEs or other eNBs. The RF transceivers  372   a - 372   n  down-convert the incoming RF signals to generate IF or baseband signals. The IF or baseband signals are sent to the RX processing circuitry  376 , which generates processed baseband signals by filtering, decoding, and/or digitizing the baseband or IF signals. The RX processing circuitry  376  transmits the processed baseband signals to the controller/processor  378  for further processing. 
     The TX processing circuitry  374  receives analog or digital data (such as voice data, web data, e-mail, or interactive video game data) from the controller/processor  378 . The TX processing circuitry  374  encodes, multiplexes, and/or digitizes the outgoing baseband data to generate processed baseband or IF signals. The RF transceivers  372   a - 372   n  receive the outgoing processed baseband or IF signals from the TX processing circuitry  374  and up-converts the baseband or IF signals to RF signals that are transmitted via the antennas  370   a - 370   n.    
     The controller/processor  378  can include one or more processors or other processing devices that control the overall operation of the eNB  102 . For example, the controller/processor  378  could control the reception of forward channel signals and the transmission of reverse channel signals by the RF transceivers  372   a - 372   n , the RX processing circuitry  376 , and the TX processing circuitry  374  in accordance with well-known principles. The controller/processor  378  could support additional functions as well, such as more advanced wireless communication functions. For instance, the controller/processor  378  can perform the blind interference sensing (BIS) process, such as performed by a BIS algorithm, and decodes the received signal subtracted by the interfering signals. Any of a wide variety of other functions could be supported in the eNB  102  by the controller/processor  378 . In some embodiments, the controller/processor  378  includes at least one microprocessor or microcontroller. 
     The controller/processor  378  is also capable of executing programs and other processes resident in the memory  380 , such as a basic OS. The controller/processor  378  is also capable of supporting channel quality measurement and reporting for systems having 2D antenna arrays as described in embodiments of the present disclosure. In some embodiments, the controller/processor  378  supports communications between entities, such as web RTC. The controller/processor  378  can move data into or out of the memory  380  as required by an executing process. 
     The controller/processor  378  is also coupled to the backhaul or network interface  382 . The backhaul or network interface  382  allows the eNB  102  to communicate with other devices or systems over a backhaul connection or over a network. The interface  382  could support communications over any suitable wired or wireless connection(s). For example, when the eNB  102  is implemented as part of a cellular communication system (such as one supporting 5G, LTE, or LTE-A), the interface  382  could allow the eNB  102  to communicate with other eNBs over a wired or wireless backhaul connection. When the eNB  102  is implemented as an access point, the interface  382  could allow the eNB  102  to communicate over a wired or wireless local area network or over a wired or wireless connection to a larger network (such as the Internet). The interface  382  includes any suitable structure supporting communications over a wired or wireless connection, such as an Ethernet or RF transceiver. 
     The memory  380  is coupled to the controller/processor  378 . Part of the memory  380  could include a RAM, and another part of the memory  380  could include a Flash memory or other ROM. In certain embodiments, a plurality of instructions, such as a BIS algorithm is stored in memory. The plurality of instructions are configured to cause the controller/processor  378  to perform the BIS process and to decode a received signal after subtracting out at least one interfering signal determined by the BIS algorithm. 
     As described in more detail below, the transmit and receive paths of the eNB  102  (implemented using the RF transceivers  372   a - 372   n , TX processing circuitry  374 , and/or RX processing circuitry  376 ) support communication with aggregation of FDD cells and TDD cells. 
     Although  FIG. 3B  illustrates one example of an eNB  102 , various changes may be made to  FIG. 3B . For example, the eNB  102  could include any number of each component shown in  FIG. 3 . As a particular example, an access point could include a number of interfaces  382 , and the controller/processor  378  could support routing functions to route data between different network addresses. As another particular example, while shown as including a single instance of TX processing circuitry  374  and a single instance of RX processing circuitry  376 , the eNB  102  could include multiple instances of each (such as one per RF transceiver). 
     Logical Port to Antenna Port Mapping 
       FIG. 4  illustrates logical port to antenna port mapping  400  that may be employed within the wireless communication system according to some embodiments of the current disclosure. The embodiment of the port mapping illustrated in  FIG. 4  is for illustration only. However, port mappings come in a wide variety of configurations, and  FIG. 4  does not limit the scope of this disclosure to any particular implementation of a port mapping. 
       FIG. 4  illustrates logical port to antenna port mapping  400 , according to some embodiments of the current disclosure. In the figure, Tx signals on each logical port is fed into an antenna virtualization matrix (e.g., of a size M×1), output signals of which are fed into a set of M physical antenna ports. In some embodiments, M corresponds to a total number or quantity of antenna elements on a substantially vertical axis. In some embodiments, M corresponds to a ratio of a total number or quantity of antenna elements to S, on a substantially vertical axis, wherein M and S are chosen to be a positive integer. 
       FIG. 5A  illustrates a 4×4 dual-polarized antenna array  500  with antenna port (AP) indexing 1 and  FIG. 5B  is the same 4×4 dual-polarized antenna array  510  with antenna port indexing (AP) indexing 2. 
     In certain embodiments, each labelled antenna element is logically mapped onto a single antenna port. In general, one antenna port can correspond to multiple antenna elements (physical antennas) combined via a virtualization. This 4×4 dual polarized array can then be viewed as 16×2=32-element array of elements. The vertical dimension (consisting of 4 rows) facilitates elevation beamforming in addition to the azimuthal beamforming across the horizontal dimension (consisting of 4 columns of dual polarized antennas). MIMO precoding in Rel.12 LTE standardization (per TS36.211 sections 6.3.4.2 and 6.3.4.4; and TS36.213 section 7.2.4) was largely designed to offer a precoding gain for one-dimensional antenna array. While fixed beamforming (i.e. antenna virtualization) can be implemented across the elevation dimension, it is unable to reap the potential gain offered by the spatial and frequency selective nature of the channel. 
       FIG. 6  illustrates another numbering of TX antenna elements (or TXRU) on a dual-polarized antenna array  600  according to embodiments of the present disclosure. The embodiment shown in  FIG. 6  is for illustration only. Other embodiments could be used without departing from the scope of the present disclosure. 
     In certain embodiments, eNB is equipped with 2D rectangular antenna array (or TXRUs), comprising M rows and N columns with P=2 polarized, wherein each element (or TXRU) is indexed with (m, n, p), and m=0, . . . , M−1, n=0, . . . , N−1, p=0, . . . , P−1, as illustrated in FIG.  6  with M=N=4. When the example shown in  FIG. 6  represents a TXRU array, a TXRU can be associated with multiple antenna elements. In one example (1-dimensional (1D) subarray partition), an antenna array comprising a column with a same polarization of a 2D rectangular array is partitioned into M groups of consecutive elements, and the M groups correspond to the M TXRUs in a column with a same polarization in the TXRU array in  FIG. 6 . In later embodiments, (M,N) is sometimes denoted as (N H , N V ) or (N 1 , N 2 ). 
     In some embodiments, a UE is configured with a CSI-RS resource comprising Q=MNP number of CSI-RS ports, wherein the CSI-RS resource is associated with MNP number of resource elements (REs) in a pair of PRBs in a subframe. 
     A UE is configured with a CSI-RS configuration via higher layer, configuring Q antenna ports—antenna ports A(1) through A(Q). The UE is further configured with CSI reporting configuration via higher layer in association with the CSI-RS configuration. The CSI reporting configuration includes information element (IE) indicating the CSI-RS decomposition information (or component PMI port configuration). The information element may comprise at least two integers, say N 1  and N 2 , which respectively indicates a first number of antenna ports for a first dimension, and a second number of antenna ports for a second dimension, wherein Q=N 1 ·N 2 . 
     When the UE is configured with (N 1 , N 2 ), the UE calculates CQI with a composite precoder constructed with two-component codebooks, N 1 -Tx codebook (codebook 1) and N 2 -Tx codebook (codebook 2). When W 1  and W 2  are respectively are precoders of codebook 1 and codebook 2, the composite precoder (of size P×(rank)) is the (columnwise) Kronecker product of the two, W=W 1   W 2 . If PMI reporting is configured, the UE will report at least two component PMI corresponding to selected pair of W 1  and W 2 . 
     In one method, either W 1  or W 2  is further decomposed according to the double codebook structure. For example, W 1  is further decomposed into: 
                 W   1     ⁡     (     n   ,   m     )       =       1     p   1       ⁡     [           v   m                 φ   n     ⁢     v   m             ]             
if rank 1; and
 
                 W   1     ⁡     (     n   ,   m   ,     m   ′       )       =       1     p   2       ⁡     [           v   m           v     m   ′                   φ   n     ⁢     v   m               -     φ   n       ⁢     v     m   ′               ]             
if rank 2, wherein p 1  and p 2  are normalization factors to make total transmission power 1, v m  is an m-th DFT vector out of a (N 1 /2)-Tx DFT codebook with oversampling factor o 1 , and φ n  is a co-phase. Furthermore, the index m, m′, n determines the precoder W 1 .
 
     If the transmission rank is one (or number of transmission layers is one), then CQI will be derived with 
               W   =         W   1     ⊗     W   2       =       1     p   1       ⁡     [             v   m     ⊗     W   2                   φ   n     ⁢       v   m     ⊗     W   2               ]           ;         
and if the transmission rank is two, then CQI will be derived with
 
     
       
         
           
             W 
             = 
             
               
                 
                   
                     W 
                     1 
                   
                   ⊗ 
                   
                     W 
                     2 
                   
                 
                 ⁢ 
                 
                   | 
                   
                     columnwise 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     KP 
                   
                 
               
               = 
               
                 
                   
                     1 
                     
                       p 
                       2 
                     
                   
                   ⁡ 
                   
                     [ 
                     
                       
                         
                           
                             
                               v 
                               m 
                             
                             ⊗ 
                             
                               W 
                               2 
                             
                           
                         
                         
                           
                             
                               v 
                               
                                 m 
                                 ′ 
                               
                             
                             ⊗ 
                             
                               W 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               
                                 v 
                                 m 
                               
                               ⊗ 
                               
                                 W 
                                 2 
                               
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               
                                 v 
                                 
                                   m 
                                   ′ 
                                 
                               
                               ⊗ 
                               
                                 W 
                                 2 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
                 . 
               
             
           
         
       
     
     In one example of this method, N 1 =8 and N 2 =4, and the TXRUs (or the antenna ports) are numbered according to  FIG. 5( b ) . In this case, W 1  is further decomposed into: 
                 W   1     ⁡     (     n   ,   m     )       =       1     p   1       ⁡     [           v   m                 φ   n     ⁢     v   m             ]             
if rank 1; and
 
                 W   1     ⁡     (     n   ,   m   ,     m   ′       )       =       1     p   2       ⁡     [           v   m           v     m   ′                   φ   n     ⁢     v   m               -     φ   n       ⁢     v     m   ′               ]             
if rank 2, wherein v m  is an m-th DFT vector out of a 4-Tx DFT codebook with oversampling factor 8; and
 
               φ   n     =       ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢   n     2         .           
Furthermore, with one transmission layer, CQI will be derived with precoder
 
               W   =         W   1     ⊗     W   2       =       1     8       ⁡     [             v   m     ⊗     W   2                   φ   n     ⁢       v   m     ⊗     W   2               ]           ;         
and with two transmission layer, CQI will be derived with
 
     
       
         
           
             W 
             = 
             
               
                 
                   
                     W 
                     1 
                   
                   ⊗ 
                   
                     W 
                     2 
                   
                 
                 ⁢ 
                 
                   | 
                   
                     columnwise 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     KP 
                   
                 
               
               = 
               
                 
                   
                     1 
                     4 
                   
                   ⁡ 
                   
                     [ 
                     
                       
                         
                           
                             
                               v 
                               m 
                             
                             ⊗ 
                             
                               W 
                               2 
                             
                           
                         
                         
                           
                             
                               v 
                               
                                 m 
                                 ′ 
                               
                             
                             ⊗ 
                             
                               W 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               
                                 v 
                                 m 
                               
                               ⊗ 
                               
                                 W 
                                 2 
                               
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               
                                 v 
                                 
                                   m 
                                   ′ 
                                 
                               
                               ⊗ 
                               
                                 W 
                                 2 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
                 . 
               
             
           
         
       
     
     In another method, both W 1  and W 2  are further decomposed according to the double codebook structure with two stages. The first stage codebook is used to represent WB and long-term channel, and the second stage codebook is used to represent SB and short-term channel. For example, W 1  and W 2  can be decomposed as W 1 =U 1 V 1  and W 2 =U 2 V 2 , respectively, where:
         U 1  and U 2  belong to the first stage codebooks C 1   (1)  and C 2   (1) ; V 1  and V 2  belong to the second stage codebooks C 1   (2)  and C 2   (2) ;   The double codebook C 1 =C 1   (1) C 1   (2)  comprises of DFT vectors out of a (N 1 /2)-Tx DFT codebook with oversampling factor o 1 , where the first stage codebook C 1   (1)  corresponds to a set of fixed number L 1  of uniformly-spaced beams, and the second stage codebook C 1   (2)  corresponds to selecting one beam out of L 1  beams and applying a cross-polco-phase φ n ; and   The C 2 =C 2   (1) C 2   (2)  comprises of DFT vectors out of a (N 2 )-Tx DFT codebook with oversampling factor o 2 , where the first stage codebook C 2   (1)  corresponds to a set of fixed number L 2  of uniformly-spaced beams, and the second stage codebook C 2   (2)  corresponds to selecting one beam out of L 2  beams;       

     In a special case, uniformly-spaced beams are consecutively-spaced beams. 
     A beam grouping scheme is defined in terms of two groups of parameters, one group per dimension d. A group of parameters for dimension d comprises at least one of the following parameters:
         a number of antenna ports N d ;   an oversampling factor o d ;   a skip number s d ; (for the first stage codebook C d   (1) )   a beam offset number f d ;   a beam spacing number p d ; (for the second stage codebook C d   (2) ) and a number of beams L d .       

     A beam group indicated by a first PMI i 1,d  of dimension d (corresponding to C d   (1) ), is determined based upon these six parameters. The total number of beams is N d ·o d ; and the beams are indexed by an integer m d , wherein beam m d , v m     d   , corresponds to a precoding vector 
                 v     m   d       =       [     1   ⁢           ⁢     ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢     m   d           o   d     ⁢     N   d             ⁢           ⁢   …   ⁢           ⁢     ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢       m   d     ⁡     (       N   d     -   1     )             o   d     ⁢     N   d               ]     t       ,         
m d =0, . . . , N d ·o d /k d −1, where k 1 =2 and k 2 =1, if cross-pol is considered in the first dimension, or k 1 =1 and k 2 =2, if cross-pol is considered in the second dimension.
 
     The first PMI i 1,d  of dimension d, where i 1,d =0, . . . , N d ·o d /s d −1, can indicate any of L d  beams indexed by:
 
 m   d   =f   d   +s   d   ·i   1,d   ,f   d   +s   d   ·i   1,d   +p   d   , . . . ,f   d   +s   d   ·i   1,d +( L   d −1) p   d .
 
These L d  beams are referred to as a beam group.
 
     Later in this disclosure, the dimension d={1,2} and d={H,V} are used interchangeably for simplicity. 
     In one example, N 1 =8 and N 2 =4, and the TXRUs (or the antenna ports) are numbered according to  FIG. 5B . 
       FIG. 7  illustrates beam grouping scheme  700 , referred to as Scheme 1 according to embodiments of the present disclosure. 
       FIG. 8  illustrates beam grouping scheme  800 , referred to as Scheme 2 according to embodiments of the present disclosure. 
       FIG. 9  illustrates beam grouping scheme  900 , referred to as Scheme 3 according to embodiments of the present disclosure. 
     The related parameters for each beam scheme are listed in Table 1. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 Parameters for three example beam grouping schemes 
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                 A second 
                 A second 
               
               
                   
                 A first 
                 A first 
                 A first 
                 A second 
                 beam 
                 number of 
               
               
                   
                 oversampling 
                 beam 
                 number of 
                 oversampling 
                 spacing p 2   
                 beams L 2   
               
               
                   
                 factor o 1  for 
                 spacing p 1   
                 beams L 1   
                 factor o 2  for 
                 for the 
                 for the 
               
               
                   
                 the first 
                 for the first 
                 for the first 
                 the second 
                 second 
                 second 
               
               
                   
                 dimension 
                 dimension 
                 dimension 
                 dimension 
                 dimension 
                 dimension 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Scheme 1 
                 8 
                 1 
                 4 
                 4 
                 1 
                 1 
               
               
                 Scheme 2 
                 8 
                 1 
                 1 
                 4 
                 1 
                 4 
               
               
                 Scheme 3 
                 8 
                 1 
                 2 
                 4 
                 1 
                 2 
               
               
                   
               
            
           
         
       
     
     In these schemes, an oversampling factor o 1 =8 is considered for C 1   (1)  codebook and an oversampling factor o 2 =4 is considered for C 2   (1)  codebook. Hence, total number of beams for C 1   (1)  codebook is 
                     N   1     ⁢     o   1       2     =   32     ,         
and total number of beams for C 2   (1)  codebook is N 2 o 2 =16.
 
       FIG. 7 ,  FIG. 8  and  FIG. 9  illustrate these 16×32 3D beams constructed by Kronecker product of each beam vector in C 1   (1)  codebook and each beam vector in C 2   (1)  codebook as a 16×32 grid, wherein each square correspond to a beam. 
     In some embodiments: the UE is configured with a parameterized KP codebook corresponding to the codebook parameters (N d , o d , s d , f d , p d , L d ) where d=1,2 from a master codebook by applying codebook subset restriction. The master codebook is a large codebook with default codebook parameters. 
     In one method, the master codebook may be unique. In another method, there may be multiple master codebooks and the UE may be configured with at least one master codebook from the multiple master codebooks. An example of multiple master codebooks may be based on beam offset numbers f 1  and f 2  as shown in the table below. In this example, a 1-bit indication may be used to indicate the master codebook via higher layer such as RRC. 
     
       
         
           
               
             
               
                 TABLE 2 
               
             
            
               
                   
               
               
                 offset numbers f 1  and f 2   
               
            
           
           
               
               
               
            
               
                   
                 f 1   
                 f 2   
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Master codebook 0 
                 0 
                 0 
               
               
                   
                 Master codebook 1 
                 0, 1, . . . , 
                 0, 1, . . . , 
               
               
                   
                   
                 s 1  − 1 
                 s 2  − 1 
               
               
                   
                   
               
            
           
         
       
     
     For simplicity, it is assumed that f 1 =f 1 =0 (Mater codebook 0) in the rest of the disclosure. However, the disclosure is applicable to other values of f 1  and f 2 . 
     Two examples of master codebook parameters for Q=12, 16, and 32 antenna ports are tabulated in Table 3 and Table 4. Note that Q=N 1 N 2  in Table 3 and Q=MNP in Table 4. 
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 Master codebook parameters for Q = 12, 16, and 32 antenna ports 
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 Q 
                 N 1   
                 N 2   
                 o 1   
                 o 2   
                 L 1   
                 L 2   
                 p 1   
                 p 2   
                 s 1   
                 s 2   
               
               
                   
               
               
                 12 
                 4 
                 3 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 12 
                 6 
                 2 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 16 
                 4 
                 4 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 16 
                 8 
                 2 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 32 
                 8 
                 4 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 32 
                 4 
                 8 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
             
            
               
                   
               
               
                 Master codebook parameters for Q = 12, 16, and 32 antenna ports 
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
               
            
               
                 Q 
                 M 
                 N 
                 P 
                 o 1   
                 o 2   
                 L 1   
                 L 2   
                 p 1   
                 p 2   
                 s 1   
                 s 2   
               
               
                   
               
               
                 12 
                 3 
                 2 
                 2 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 12 
                 2 
                 3 
                 2 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 16 
                 4 
                 2 
                 2 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 16 
                 2 
                 4 
                 2 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 32 
                 4 
                 4 
                 2 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                 32 
                 8 
                 2 
                 2 
                 8 
                 4 
                 4 
                 4 
                 1, 2 
                 1, 2 
                 1, 2, 4 
                 1, 2, 4 
               
               
                   
               
            
           
         
       
     
     The focus of this disclosure is on the details of rank&gt;1 KP codebook design based on the codebook parameters: (N d , o d , s d , f d , p d , L d ) where d=1,2. 
     Let r be the number of transmission layers (rank), where r=1,2,3,4, for example. The KP pre-coding matrix of rank r is given by: 
               P   =       1     Qr       ⁡     [         c     m   1       ⊗     u     i   1       ⊗     v     j   1         ,       c     m   2       ⊗     u     i   2       ⊗     v     j   2         ,   …   ,       c     m   r       ⊗     u     i   r       ⊗     v     j   r           ]         ,         
where
         c m     1   , c m     2   , . . . c m     r    are 2×1 QPSK co-phase vectors from       

     
       
         
           
             
               [ 
               
                 
                   
                     1 
                   
                   
                     1 
                   
                   
                     1 
                   
                   
                     1 
                   
                 
                 
                   
                     1 
                   
                   
                     j 
                   
                   
                     
                       - 
                       1 
                     
                   
                   
                     
                       - 
                       j 
                     
                   
                 
               
               ] 
             
             ; 
           
         
       
         
         
           
             u i     1   , u i     2   , . . . u i     r    are (N 1 /2)×1 DFT vectors, where i k  is the index of kth DFT vector belonging to a beam group in the first dimension codebook C 1   (1) ; and 
             v j     1   , v j     2   , . . . , v j     r    are N 2 ×1 DFT vectors, where j k  is the index of kth DFT vector belonging to a beam group in the second dimension codebook C 2   (1) . 
             Orthogonality condition for rank r&gt;1: 
           
         
       
    
     In order to ensure orthogonality between pre-coding vectors corresponding to multiple layers, any two columns, k and l, of the pre-coding matrix P must satisfy p k *p l =0 where p k   c m     k     u i     k     v j     k    is the kth column of the pre-coding matrix P. Because of the specific KP structure of the pre-coding matrix, we have that the condition p k *p l =0 is satisfied if any one of the following condition is satisfied: 
     1. Co-phase orthogonality: c m     k   *c m     l   ==0, 
     2. Azimuth beam orthogonality: u i     k   *u i     l   =0, and 
     3. Elevation beam orthogonality: v i     k   *v i     l   =0. 
     In the first condition, the orthogonality is achieved utilizing the cross-pol antenna configuration by choosing orthogonal co-phase vectors, and in the second and the third conditions, it is achieved relying on the spacing between the beams in two dimensions. 
       FIG. 10  illustrates beam group type 1  1000 : co-phase orthogonality according to embodiments of the present disclosure. 
       FIG. 11  illustrates an illustration of beam group type 2  1200 : horizontal beam orthogonality according to embodiments of the present disclosure. 
       FIG. 12  illustrates an illustration of beam group type 3  1300 : vertical beam orthogonality according to embodiments of the present disclosure. 
       FIG. 13  illustrates beam group type 4: both horizontal and vertical beam orthogonality 
     The number of beam group hypotheses depends on the beam group type. 
     In some embodiments, the beam groups in the first stage codebook C 1  is based upon the orthogonality condition. For instance, the beam groups may be according to at least one of the following four types: 
     Type 1: Adjacent beams (for co-phase orthogonality): In this type, a beam group consists of adjacent beams in both horizontal and vertical dimensions. An example of type 1 beam group is shown in  FIG. 10  for N 1 =8, N 2 =2, o 1 =o 2 =4. In this example, a beam group consists of 2 adjacent beams in the horizontal dimension and 2 adjacent beams in vertical dimension. For example, beam group 0 consists of beams {0,1} in the horizontal dimension and beams {0,1} in the vertical dimension. 
     Type 2: 1D orthogonal beams in horizontal: In this type, a beam group consists of adjacent beams in vertical dimension and orthogonal beams in horizontal dimension. An example of type 2 beam group is shown in  FIG. 11  for N 1 =8, N 2 =2, o 1 =o 2 =4. In this example, a beam group consists of 2 adjacent beams in the vertical dimension and 2 orthogonal beam pairs in horizontal dimension. For example, beam group 0 consists of beams {0,1,8,9} in the horizontal dimension and beams {0,1} in the vertical dimension. 
     Type 3: 1D orthogonal beams in vertical: In this type, a beam group consists of adjacent beams in horizontal dimension and orthogonal beams in vertical dimension. An example of type 2 beam group is shown in  FIG. 12  for N 1 =8, N 2 =2, o 1 =o 2 =4. In this example, a beam group consists of 2 adjacent beams in the horizontal dimension and 2 orthogonal beam pairs in vertical dimension. For example, beam group 0 consists of beams {0,1} in the horizontal dimension and beams {0,1,4,5} in the vertical dimension. 
     Type 4: 2D orthogonal beams in both horizontal and vertical: In this type, a beam group consists of orthogonal beams in both horizontal and vertical dimensions. An example of type 2 beam group is shown in  FIG. 13  for N 1 =8, N 2 =2, o 1 =o 2 =4. In this example, a beam group consists of 2 orthogonal beam pairs in the horizontal dimension and 2 orthogonal beam pairs in vertical dimension. For example, beam group 0 consists of beams {0,1,8,9} in the horizontal dimension and beams {0,1,4,5} in the vertical dimension. 
     For beam group types 2-4, there are two alternatives depending on the spacing between the two orthogonal beams in the same dimension:
         Alt 1: the spacing between the two orthogonal beams is the maximum   Alt 2: the spacing between the two orthogonal beams is the minimum       

     In some embodiments, the two alternatives, Alt 1 and Alt 2, of beam group types are treated together in a single codebook or they are treated separately in two codebooks. 
     For example, in  FIG. 11 , there are four sets of orthogonal beams in horizontal dimension: {0,4,8,12}, {1,5,9,13}, {2,6,10,14}, and {3,7,11,15}. In Alt 1, beams group 0 consists of beams {0,1,8,9} in horizontal dimension where beam pairs {0,8} and {1,9} correspond to orthogonal beams with maximum spacing of 8 between them. Similarly, in Alt 2, beams group 0 consists of beams {0,1,4,5} in horizontal dimension where beam pairs {0,4} and {1,5} correspond to orthogonal beams with minimum spacing of 4 between them. Note that here spacing between two beam indices b 1  and b 2  is defined as:
 
min{[( b   1   +b   2 )+16] mod 16,[( b   1   −b   2 )+16] mod 16}.
 
     Table 5 shows the number of beam group hypotheses according to the beam groupings in  FIG. 10 - FIG. 13 . 
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 Number of beam group hypotheses 
               
            
           
           
               
               
            
               
                 Beam group type 
                 Number of beam group hypotheses 
               
               
                   
               
               
                 Type 1 (co-phase orthogonality) 
                 8 * 4 = 32 
               
               
                 Type 2 (horizontal beam 
                 4 * 4 = 16 (For each of Alt 1 and Alt 2) 
               
               
                 orthogonality) 
               
               
                 Type 3 (vertical beam 
                 8 * 2 = 16 (For each of Alt 1 and Alt 2) 
               
               
                 orthogonality) 
               
               
                 Type 4 (2D-beam orthogonality) 
                 8 * 2 = 16 (For each of Alt 1 and Alt 2) 
               
               
                   
               
            
           
         
       
     
     The abovementioned examples of the different beam group types for illustrations only. All embodiments in the disclosure are applicable to other beam group types. Furthermore, the beam group of size (2,2) in horizontal and vertical dimensions is also for illustrations only. The scope of this disclosure includes any other beam group sizes such as (4,1), (1,4), (4,4) etc. 
     One Codebook Table: 
     In some embodiments, a single rank r&gt;1 double codebook is designed based upon one of the above-mentioned orthogonality conditions or beam group types. In this case, we have as single table of rank r&gt;1. 
     In one example method, the first stage codebook C 1  indices consist of the beam group type 1. Therefore, indices of the codewords in C 1  correspond to i 1 =0, 1, . . . 31 according to Table 5, where i 1 =0-7 indicates i 1H =0-7 and i 1V =0; i 1 =8-15 indicates i 1H =0-7 and i 1V =1; i 1 =16-23 indicates i 1H =0-7 and i 1V =2; and i 1 =24-31 indicates i 1H =0-7 and i 1V =3. 
     In some embodiments, a single rank r&gt;1 double codebook is designed based upon more than one of the above-mentioned orthogonality conditions or beam group types. In this case, we have as single table of rank r&gt;1. 
     In one example method, the first stage codebook C 1  indices consist of the beam group type 1 and the beam group type 4 (Alt 1 and Alt 2). Therefore, indices of the codewords in C 1  correspond to i 1 =0, 1, . . . 63 according to Table 5. The indices i 1 =0, 1, . . . 31 are for the beam group type 1; the indices i 1 =32, 33, . . . 47 are for the beam group type 4 Alt 1; and the indices i 1 =48,49, . . . 63 are for the beam group type 4 Alt 2. The breakdown of i 1  indices into (i 1H , i 1V ) indices can be constructed similar to the previous embodiment. 
     Multiple Codebook Table: 
     In some embodiments, multiple rank r&gt;1 double codebooks are designed based upon a combination of the orthogonality conditions or beam group types. In this case, we have multiple tables of rank r&gt;1, one table for each beam group type. 
     In one example method, there are two codebooks (or tables), one for the beam group type 1 and another for the beam group type 4 (Alt 1 and Alt 2). Therefore, indices of the codewords in C 1  of the first table correspond to i 1 =0, 1, . . . 31 and that of the second table correspond to i 1 =0, 1, . . . 31 according to Table 5 where i 1 =0, 1, . . . 15 are for the beam group type 4 Alt 1 and i 1 =16, 17, . . . 31 are for the beam group type 4 Alt 2. The breakdown of i 1  indices into (i 1H , i 1V ) indices can be constructed similar to the previous embodiment. 
     In some embodiments, 2-bit indication is used to configure single or multiple tables. 
     
       
         
           
               
             
               
                 TABLE 6 
               
             
            
               
                   
               
               
                 Codebook type configuration table 
               
            
           
           
               
               
            
               
                 Indicator 
                 Codebook type 
               
               
                   
               
               
                 00 
                 Single table consisting of one beam group type 
               
               
                 01 
                 Single table consisting of multiple group types 
               
               
                 10 
                 Multiple tables, one for each beam group type 
               
               
                 11 
                 reserved 
               
               
                   
               
            
           
         
       
     
     Beam Group Type Determination/Configuration: 
     The specific beam group type depends on the channel condition between the eNB and the UE. For example, for some UEs, beam group may be of type 1; for some UEs, it may be of type 4; and for some other UEs, it may be of both type 1 and type 4. Therefore, the beam group type may be included as an important CSI parameter, which is determined/configured according to one of the following methods. 
     In some embodiments, the beam group type for rank r&gt;1 is pre-configured, i.e., it is fixed in the standards specification. For example: only Type 1 and Type 4 Alt 1 are supported. 
     In some embodiments, beam group type for rank r&gt;1 can be configured to the UE or reported by the UE. Alt 1: eNB detects the change in the beam group type and indicates the beam group type to the UE using an RRC information element comprising a CSI configuration. The UE is configured in the higher-layer of the beam group type. Alt 2: UE detects the change beam group type and reports an indication of the beam group type to eNB, e.g., in its CSI report. 
     In some embodiments, multiple beam group types for rank r&gt;1 are configured. In this case, an indication of beam group type is included in the CSI report. 
     In one method, eNB configures multiple beam group types for rank r&gt;1 to the UE. UE selects one beam group type and feeds back to the eNB. In one alternative, it is indicated jointly with the RI in the RI reporting instances. In another alternative, it is reported separately. 
     In another method, UE selects multiple beam group types and communicates them to the eNB, which uses them to configure a beam group type to the UE. 
     In some embodiments, 2-bit indication is used to configure one of the beam group type determination methods according to Table 7 below. 
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 Beam group type determination method 
               
            
           
           
               
               
            
               
                 Method indicator 
                 Method 
               
               
                   
               
               
                 00 
                 Pre-configured or fixed 
               
               
                 01 
                 Beam group type change is detected 
               
               
                 10 
                 Multiple beam group types are configured 
               
               
                 11 
                 Reserved 
               
               
                   
               
            
           
         
       
     
     Example Rank 2 Types Codebooks: 
     In some embodiments, the rank 2 codebook consists of a single table of beam group type 1, where the beam groups consist of 2 adjacent beams in horizontal dimension and 2 adjacent beams in vertical dimension, for example as shown in  FIG. 10 . Two beams p k  and p l  are selected out of the four beams; and two co-phase values are considered to obtain orthogonal beams 
               [           p   k           p   l               p   k           -     p   l             ]     ⁢           ⁢     and   ⁢           [           p   k           p   l               jp   k           -     jp   l             ]           
based on co-phase orthogonality.
 
     In one example (Example 1), the two beams p k  and p l  are identical. In another example (Example 2), the two beams are either identical or different in either horizontal or vertical dimensions. The rank 2 beam indices for Example 1 and Example 2 for a given beam group with index i 1 =(i 1,H , i 1,V ) are shown in Table 8. 
     
       
         
           
               
             
               
                 TABLE 8 
               
             
            
               
                   
               
               
                 Rank 2 beam indices for a given i 1  = (i 1, H , i 1, V ) 
               
            
           
           
               
               
               
            
               
                   
                 (H, V) beam 
                 (H, V) beam 
               
               
                   
                 indices for beam 1 
                 indices for beam 2 
               
               
                   
                   
               
            
           
           
               
               
               
               
            
               
                   
                 Beam 1 = Beam 2 
                 (i 1, H , i 1, V ) + (0, 0) 
                 (i 1, H , i 1, V ) + (0, 0) 
               
               
                   
                   
                 (i 1, H , i 1, V ) + (0, 1) 
                 (i 1, H , i 1, V ) + (0, 1) 
               
               
                   
                   
                 (i 1, H , i 1, V ) + (1, 0) 
                 (i 1, H , i 1, V ) + (1, 0) 
               
               
                   
                   
                 (i 1, H , i 1, V ) + (1, 1) 
                 (i 1, H , i 1, V ) + (1, 1) 
               
               
                   
                 Beam 1 ≠ Beam 2 
                 (i 1, H , i 1, V ) + (0, 0) 
                 (i 1, H , i 1, V ) + (0, 1) 
               
               
                   
                 (either horizontal 
                 (i 1, H , i 1, V ) + (0, 0) 
                 (i 1, H , i 1, V ) + (1, 0) 
               
               
                   
                 or vertical beams 
                 (i 1, H , i 1, V ) + (1, 1) 
                 (i 1, H , i 1, V ) + (0, 1) 
               
               
                   
                 are different) 
                 (i 1, H , i 1, V ) + (1, 1) 
                 (i 1, H , i 1, V ) + (1, 0) 
               
               
                   
                   
               
            
           
         
       
     
     The rank 2 codebook table for Example 1 is shown in Table 9 for N 1 =8, N 2 =2, o 1 =o 2 =4. Similar table can be constructed for Example 2. 
     Please see the below Table Section for Table 9. 
     In some embodiments, the rank 2 codebook consists of a single table of beam group type 1 and beam group type 4 with Alt 1, where the beam group type 1 comprises of beam groups of 2 adjacent beams in horizontal dimension and 2 adjacent beams in vertical dimension ( FIG. 10 ), and the beam group type 4 comprises of beam groups of 4 pairs of orthogonal beams that are maximally separated in both horizontal and vertical dimensions (Alt 1 in  FIG. 13 ). 
     For the beam group type 1, one beam (p k =p l ) out of the four beams is selected; and for the beam group type 4, a pair (p k , p l ) of beams out the four pairs of orthogonal beams is selected. Two co-phase values are considered to obtain orthogonal beams 
     
       
         
           
             
               [ 
               
                 
                   
                     
                       p 
                       k 
                     
                   
                   
                     
                       p 
                       l 
                     
                   
                 
                 
                   
                     
                       p 
                       k 
                     
                   
                   
                     
                       - 
                       
                         p 
                         l 
                       
                     
                   
                 
               
               ] 
             
             ⁢ 
             
                 
             
             ⁢ 
             
               
                 and 
                 ⁢ 
                 
                     
                 
                 [ 
                 
                   
                     
                       
                         p 
                         k 
                       
                     
                     
                       
                         p 
                         l 
                       
                     
                   
                   
                     
                       
                         jp 
                         k 
                       
                     
                     
                       
                         - 
                         
                           jp 
                           l 
                         
                       
                     
                   
                 
                 ] 
               
               . 
             
           
         
       
     
     An example rank 2 codebook table is shown in Table 10 for N 1 =8, N 2 =2, o 1 =o 2 =4. 
     Please see the below Table Section for Table 10. 
     In some embodiments, Table 9 of the rank 2 codebook consists of two subtables, a first subtable for a first beam group (type 1) and a second subtable for a second beam group (type 4 with Alt 1), where the details of the two codebook tables are similar to the previous embodiment of single table. 
     An example rank 2 codebook table is shown in Table 11 for N 1 =8, N 2 =2, o 1 =o 2 =4. Two alternative methods are considered for the construction of the table. 
     In one method (denoted by Method 1), the selected beam group type is explicitly configured to a UE (or reported by the UE). When the UE is configured with (or reports) the first beam group, the UE is configured to report PMI according to Table 8-1, in which i 1 =0-31; on the other hand when the UE is configured with the second beam group, the UE is configured report PMI according to Table 8, in which i l =0-15. In this case, depending on which beam group type is configured, the number of reported bits for i 1  also changes. When the first beam group type is configured, 5 bit information is reported for i 1 =0-31; when the second group type is configured, 4 bit information is reported for i 1 =0-15. 
     In another method (denoted by Method 2), the selected beam group type is configured to a UE (or reported by the UE) by means of codebook subset restriction. In this case, the first PMI i 1  has a total range of 0-47. When the UE is configured (or has reported) with the first beam group type, the UE is configured to restrict the PMI range to 0-31; when the UE is configured (or has reported) with the second beam group type, the UE is configured to restrict the PMI range to 32-47. 
     Table 8 also illustrates i 1  to (i 1H , i 1V ) mapping. With Method 2, the first PMI i 1  has a total range of 0-47. With Method 1, the first PMI i 1  has a range of either 0-31 or 0-15. According to the table, i 1H =0-7 and i 1V =0 are indicated by i 1 =32-39 with Method 2; and by i 1 =0-7 with Method 1. 
     Please see the below Table Section for Tables 11-1 to 11-2. 
     In some embodiments, the rank 2 codebook consists of three tables, Table 12-1 for a first beam group (type 1), Table 12-2 for a second beam group (type 4 with Alt 1), and Table 12-3 for a third beam group (type 4 with Alt 2), where the details of the three codebook tables are similar to the previous embodiments. 
     An example rank 2 codebook table is shown in Table 12 for N 1 =8, N 2 =2, o 1 =o 2 =4. Two alternative methods are considered for the construction of the table. 
     In one method (denoted by Method 1), the selected beam group type is explicitly configured to a UE (or reported by the UE). When the UE is configured with (or reports) the first beam group, the UE is configured to report PMI according to Table 12-1, in which i 1 =0-31; on the other hand when the UE is configured with the second beam group, the UE is configured report PMI according to Table 12-2, in which i 1 =0-15; and when the UE is configured with the third beam group, the UE is configured report PMI according to Table 12-3, in which i 1 =0-15. In this case, depending on which beam group type is configured, the number of reported bits for i 1  also changes. When the first beam group type is configured, 5 bit information is reported for i 1 =0-31; when the second or the third group type is configured, 4 bit information is reported for i 1 =0-15. 
     In another method (denoted by Method 2), the selected beam group type is configured to a UE (or reported by the UE) by means of codebook subset restriction. In this case, the first PMI i 1  has a total range of 0-63. When the UE is configured (or has reported) with the first beam group type, the UE is configured to restrict the PMI range to 0-31; when the UE is configured (or has reported) with the second beam group type, the UE is configured to restrict the PMI range to 32-47; and when the UE is configured (or has reported) with the third beam group type, the UE is configured to restrict the PMI range to 48-63. 
     Table 12-4 illustrates i 1  to (i 1H , i 1V ) mapping. With Method 2, the first PMI i 1  has a total range of 0-63. With Method 1, the first PMI i 1  has a range of either 0-31 or 0-15. According to the table, i 1H =0-7 and i 1V =0 are indicated by i 1 =32-39 with Method 2; and by i 1 =0-7 with Method 1. Similarly, i 1n =0-7 and i 1V =0 are indicated by i 1 =48-55 with Method 2; and by i 1 =0-7 with Method 1. 
     Please see the below Table Section for Tables 12-1 to 12-4. 
     In some embodiments, the rank 2 codebook consists of three tables, Table 13-1 for a first beam group (type 1), Table 13-2 for a second beam group (type 2 with Alt 1), and Table 13-3 for a third beam group (type 4 with Alt 1), where the details of the three codebook tables are similar to the previous embodiments. 
     An example rank 2 codebook table is shown in Tables 13-1 to 13-4 for N 1 =8, N 2 =2, o 1 =o 2 =4. Two alternative methods are considered for the construction of the table. 
     In one method (denoted by Method 1), the selected beam group type is explicitly configured to a UE (or reported by the UE). When the UE is configured with (or reports) the first beam group, the UE is configured to report PMI according to Table 13-1, in which i 1 =0-31; on the other hand when the UE is configured with the second beam group, the UE is configured report PMI according to Table 13-2, in which i 1 =0-15; and when the UE is configured with the third beam group, the UE is configured report PMI according to Table 13-3, in which i 1 =0-15. In this case, depending on which beam group type is configured, the number of reported bits for i 1  also changes. When the first beam group type is configured, 5 bit information is reported for i 1 =0-31; when the second or the third group type is configured, 4 bit information is reported for i 1 =0-15. 
     In another method (denoted by Method 2), the selected beam group type is configured to a UE (or reported by the UE) by means of codebook subset restriction. In this case, the first PMI i 1  has a total range of 0-63. When the UE is configured (or has reported) with the first beam group type, the UE is configured to restrict the PMI range to 0-31; when the UE is configured (or has reported) with the second beam group type, the UE is configured to restrict the PMI range to 32-47; and when the UE is configured (or has reported) with the third beam group type, the UE is configured to restrict the PMI range to 48-63. 
     Table 13-4 illustrates i 1  to (i 1H , i 1V ) mapping. With Method 2, the first PMI i 1  has a total range of 0-63. With Method 1, the first PMI i 1  has a range of either 0-31 or 0-15. According to the table, i 1H =0-3 and i 1V =0 are indicated by i 1 =32-35 with Method 2; and by i 1 =0-3 with Method 1. Similarly, i 1H =0-7 and i 1V =0 are indicated by i 1 =48-55 with Method 2; and by i 1 =0-7 with Method 1. 
     Please see the below Table Section for Tables 13-1 to 13-4. 
     Another example rank 2 codebook table is shown in Tables 14-1 to 14-4 for N 1 =8, N 2 =2, o 1 =o 2 =4. Two alternative methods, Method 1 and Method 2, are considered for the construction of the table. Details of the methods are skipped because it is similar to the previous embodiments. 
     Please see the below Table Section for Tables 14-1 to 14-4. 
     In some embodiments, the rank 2 codebook consists of three tables, Table 15-1 for a first beam group (type 1), Table 15-2 for a second beam group (type 2 with Alt 1), and Table 15-3 for beam group (type 3 with Alt 1), where the details of the three codebook tables are similar to the previous embodiments. 
     Another example rank 2 codebook table is shown in Table 15 for N 1 =8, N 2 =2, o 1 =o 2 =4. Two alternative methods, Method 1 and Method 2, are considered for the construction of the table. Details of the methods are skipped because it is similar to the previous embodiments. 
     Please see the below Table Section for Tables 15-1 to 15-4. 
     Although the above rank 2 codebooks are for N 1 =8 and N 2 =2, the rank 2 codebooks for other values of N 1  and N 2  such as (N 1 , N 2 )=(4,4), (2,6), and (4,3) can be similarly constructed. 
     Also, the idea of the disclosure is applicable to construct codebooks of rank more than 2. 
       FIG. 14  illustrates subset restriction  1400  on rank-1 i 2  according to the embodiments of the present disclosure. 
     Depending on the values of parameters L 1  and L 2 , indicating the numbers of beams in a beam group on the first and the second dimensions, subset restriction on rank-1 i 2  indices can be differently applied.  FIG. 14  illustrates codebook subset restriction on rank-1 i 2  indices in terms of parameters L 1  and L 2 , with an assumption that the master codebook has rank-1 i 2  indices corresponding to  1410 : (L 1 , L 2 )=(4,4). In this case, the master codebook for i 2  comprises 16 beams, spanned by 4×4 beams in the first and the second dimensions. In some embodiments, the index h and v in the figure corresponds to i 2,1  and i 2,2 . The shaded squares represent the rank-1 i 2  (or i 2,1  and i 2,2 ) indices that are obtained after subset restriction and the white squares represent the indices that are not included. In the figure,  1410 ,  1420 ,  1430 ,  1440 ,  1450  and  1460  respectively correspond to a codebook subset when (L 1 ,L 2 )=(4,4), (2,4), (4,2), (1,4), (4,1) and (2,2) are configured. For example,  1450  shows that the beam group selected after the codebook subset restriction comprises four beams in the h dimension: (v=i 2,2 =0 and h=i 2,1 =0, 1, 2, 3). 
     Table 16 illustrates the codebook subset restriction table according to some embodiments of the present disclosure. Depending on the configured values of L 1  and L 2 , the subset of rank-1 i 2  indices can be obtained from a row of the table. Note that L 1 =L 2 =4 corresponds to no subset restriction. In these embodiments it is assumed that (i 1,1 , i 1,2 )=(i 1,H , i 1,V ), but the same design can apply even if (i 1,1 , i 1,2 )=(i 1,V , i 1,H ). 
     
       
         
           
               
             
               
                 TABLE 16 
               
             
            
               
                   
               
               
                 An illustration of subset restriction on rank-1 i 2   
               
            
           
           
               
               
               
            
               
                   
                 Corresponding case in FIG. 
                   
               
               
                 (L 1 , L 2 ) 
                 14 
                 Number of i 2  indices 
               
               
                   
               
               
                 (4, 1) 
                 1450 
                 16 (=4 beams × 4 co-phases) 
               
               
                 (1, 4) 
                 1440 
                 16 
               
               
                 (2, 2) 
                 1460 
                 16 
               
               
                 (4, 2) 
                 1430 
                 32 (=8 beams × 4 co-phases) 
               
               
                 (2, 4) 
                 1420 
                 32 
               
               
                 (4, 4) 
                 1410 
                  64 (=16 beams × 4 co-phases) 
               
               
                   
               
            
           
         
       
     
     In some embodiments, UE is configured with the 2 layer (or rank 2) codebook with the same codebook parameters as 1 layer codebook. In particular, rank 2 pre-coders are obtained out of those beams in the same beam groups. In other words, two beams p k  and p l  comprising a rank-2 precoder are selected from a beam group; and two co-phase values construct two orthogonal matrices corresponding to two different rank-2 precoding matrix: 
     
       
         
           
             
               [ 
               
                 
                   
                     
                       p 
                       k 
                     
                   
                   
                     
                       p 
                       l 
                     
                   
                 
                 
                   
                     
                       p 
                       k 
                     
                   
                   
                     
                       - 
                       
                         p 
                         l 
                       
                     
                   
                 
               
               ] 
             
             ⁢ 
             
                 
             
             ⁢ 
             
               
                 and 
                 ⁢ 
                 
                     
                 
                 [ 
                 
                   
                     
                       
                         p 
                         k 
                       
                     
                     
                       
                         p 
                         l 
                       
                     
                   
                   
                     
                       
                         jp 
                         k 
                       
                     
                     
                       
                         - 
                         
                           jp 
                           l 
                         
                       
                     
                   
                 
                 ] 
               
               . 
             
           
         
       
     
     In some embodiments, UE is configured with (L 1 , L 2 ) chosen from the set {(1,4),(2,2),(4,1)}—which respectively correspond to  1440 ,  1450  and  1460 ; then a beam group comprises 4 beams. The 4 beams comprising a beam group in each of  1440 ,  1450  and  1460  can be indexed as 0, 1, 2, and 3. 
       FIG. 15  illustrates example beam indices in a beam group for the three beam grouping schemes  1500  according to the embodiments of the present disclosure. In the  FIG. 15 , the four selected beams are sequentially indexed into 0, 1, 2, and 3.  1510 ,  1520  and  1530  respectively illustrates the beam indexing for those beam groups of  1440 ,  1450  and  1460 . These indexing are for illustration only, and embodiments in the disclosures are applicable to any other type of beam indexing. 
     If indices of the two rank-2 beams, k and 1, are the same (k=l), then there are 4 possible rank 2 pairs, and if they are different k≠l then there are 
               (         4           2         )     =   6         
possible rank-2 pairs. So, there are 10 rank-2 beam pairs in total.
 
     Table 17 shows an example construction of rank 2 beam pairs (k, l) ε {0, 1, 2, 3}, according to some embodiments of the present disclosure. In some embodiments, the beam indices 0,1,2,3 here correspond to the beam indices shown in  FIG. 15 . Note that the beam pair indices 0-7 correspond to Rel. 12 based rank 2 beam pairs. As shown in Table 17, the beam pair indices 8 and 9 are the rest of beam pairs that have not been represented in Rel-12 codebook. 
     
       
         
           
               
             
               
                 TABLE 17 
               
             
            
               
                   
               
               
                 Rank 2 Beam Pair Index Table 
               
            
           
           
               
               
               
            
               
                 Beam pair index 
                 Beam Pairs (k, l) 
                 Comments 
               
               
                   
               
               
                 0 
                 (0, 0) 
                 Same beam construction 
               
               
                 1 
                 (1, 1) 
               
               
                 2 
                 (2, 2) 
               
               
                 3 
                 (3, 3) 
               
               
                 4 
                 (0, 1) 
                 Different beam construction - 
               
               
                 5 
                 (1, 2) 
                 Rel12 
               
               
                 6 
                 (0, 3) 
               
               
                 7 
                 (1, 3) 
               
               
                 8 
                 (0, 2) 
                 Different beam construction - 
               
               
                 9 
                 (2, 3) 
                 non-Rel12 
               
               
                   
               
            
           
         
       
     
     In some embodiments, for each of (L 1 , L 2 ) ε {(1,4),(4,1)} corresponding to  1510  and  1520 , beam pair indices 0-7 in Table 17 are selected to construct a rank-2 precoding matrix codebook. On the other hand, for (L 1 ,L 2 )=(2,2) corresponding to  1530 , beam pair indices 0-3 (same beam construction) in Table 17 and an additional set of beam pair indices are selected to construct a rank-2 precoding matrix codebook. 
     The additional set of beam pair indices should be selected in such a way that the codebook represents more frequently selected rank-2 precoder matrices in the two dimensional beam space. Such a selection can be system-specific, or UE specific, depending on the channel condition and deployment scenario. Hence, it is proposed that the additional set is configured either UE specifically or system-wide. 
     Examples of the additional set of beam pair indices for (L 1 ,L 2 )=(2,2) corresponding to  1530  are:
         Scheme 0: The set comprises beam pairs corresponding to beam pair indices 4-7, which correspond to different beam construction according to Rel-12.   Scheme 1: The set comprises beam pairs which have one dimensional beam variability;   Scheme 2: The set comprises the 3 beam pairs including beam 0, and an additional beam pair of (1,3).   Scheme 3: The set comprises a set of 4 beam pairs selected from beam pair indices 4-9 in Table 17.       

       FIG. 16  illustrates Scheme 1  1610  and Scheme 2  1620  according to the embodiments of the present disclosure. 
     Table 18 illustrates a rank-2 codebook construction schemes for (L 1 , L 2 )=(2,2) according to some embodiments of the present disclosure. A scheme can be configured to a UE in higher layer (RRC, by eNB); or it can be pre-configured at the UE. 
     
       
         
           
               
             
               
                 TABLE 178 
               
             
            
               
                   
               
               
                 Alternatives for remaining 4 beam pairs for rank 2 
               
            
           
           
               
               
            
               
                 Scheme for (L 1 , L 2 ) = (2, 2) 
                 Configured beam pair indices (Table 17) 
               
               
                   
               
               
                 0 
                 0-7 
               
               
                 1 
                 0-6, 9 
               
               
                 2 
                 0-4, 6-8 
               
               
                 3 
                 0-3, and 4 indices out of 4-9 
               
               
                   
               
            
           
         
       
     
       FIG. 16  illustrates different alternatives for remaining four rank 2 beam pairs for  1530  (L 1 ,L 2 )=(2,2) according to the embodiments of the present disclosure. 
     In these embodiments, the total number of precoding matrix for each selected (L 1 , L 2 ) ε {(1,4),(4,1),(2,2)} in the codebook is 16, and they are constructed according to the selected values of (k,l) corresponding to selected beam pair indices in Table 17 and two choices of co-phases: 
     
       
         
           
             
               [ 
               
                 
                   
                     
                       p 
                       k 
                     
                   
                   
                     
                       p 
                       l 
                     
                   
                 
                 
                   
                     
                       p 
                       k 
                     
                   
                   
                     
                       - 
                       
                         p 
                         l 
                       
                     
                   
                 
               
               ] 
             
             ⁢ 
             
                 
             
             ⁢ 
             
               
                 and 
                 ⁢ 
                 
                     
                 
                 [ 
                 
                   
                     
                       
                         p 
                         k 
                       
                     
                     
                       
                         p 
                         l 
                       
                     
                   
                   
                     
                       
                         jp 
                         k 
                       
                     
                     
                       
                         - 
                         
                           jp 
                           l 
                         
                       
                     
                   
                 
                 ] 
               
               . 
             
           
         
       
     
     There are two options to construct the mater rank-2 codebook:
         Option 1: All the 10 beam pairs in Table 17 are included in the rank-2 master codebook for all the pairs of (L 1 , L 2 ).   Option 2: All the beam pairs in Table 17 excluding non-Rel12 different beam pairs (i.e., beam pair index 8 and 9) are included in the rank-2 master codebook for all the pairs of (L 1 , L 2 ).       

     In some embodiments, Table 19 is used as a rank-2 (2 layer) master codebook, which is constructed according to Option 1, that can be used for any of Q=12, 16 and 32 antenna configurations, wherein the corresponding rank 2 precoder is 
     
       
         
           
             
               W 
               
                 
                   m 
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                 2 
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             = 
             
               
                 
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                       ⁢ 
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                 ⁡ 
                 
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                             v 
                             
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                               n 
                             
                           
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                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               . 
             
           
         
       
     
     In this rank-2 master codebook table, the 2 nd  dimension beam index m 2  (m 2 ′) increases first as i 2  increases. Similar table can be constructed for the case in which the 1 st  dimension beam index m 1  (m 1 ′) increases first as i 2  increases. 
     This master codebook includes rank-2 precoders that are used for both Schemes 1 and 2,  1610  and  1620 . 
     The master codebook comprises the following rank-2 precoders:
         Set 1: The two layers are with the same beam in both dimensions (indices 0-3 in Table 17), which maps to i 2 =0-31;   Set 2a: The two layers are with a first beam in the first dimension, and are with Rel12 based two different beams in the second dimension (indices 4-7 in Table 17), which maps to i 2 =32-39;   Set 2b (used for Option 1): The two layers are with a first beam in the first dimension, and are with non-Rel12 based two different beams in the second dimension (indices 8-9 in Table 17), which maps to i 2 =40-43;   Set 3: Same construction as those for i 2 =32-43, with replacing the first beam with a second, a third and a fourth beam in the first dimension, which maps to i 2 =44-79.   Set 4: Same construction as those for i 2 =32-79, with swapping the role of the first and the second dimension, which maps to i 2 =80-127.   Set 5 (used for Scheme 2 only): The closest diagonal beam pairs in the +45 degree direction, which maps to i 2 =128-159.   Set 6 (used for Scheme 2 only): The closest diagonal beam pairs in the −45 degree direction, which maps to i 2 =160-191.       

     The master codebook for Option 2 and Scheme 2 ( 1620 ) can be similarly constructed, by selecting only those components (sets) that correspond to Option 2:
         Set 1: The two layers are with the same beam in both dimensions (indices 0-3 in Table 17) . . . 32 precoders;   Set 2a: The two layers are with a first beam in the first dimension, and are with Rel12 based two different beams in the second dimension (indices 4-7 in Table 17) . . . 8 precoders;   Set 3: Same construction as Set 2, with replacing the first beam with a second, a third and a fourth beam in the first dimension . . . 24(=8×3) precoders.   Set 4: Same construction as Set 2 and Set 3, with swapping the role of the first and the second dimension . . . 32 precoders   Set 5 (used for scheme 2 only): The closest diagonal beam pairs in the +45 degree direction . . . (32 precoders)   Set 6 (used for scheme 2 only): The closest diagonal beam pairs in the −45 degree direction . . . (32 precoders)       

     The PMI indices (i 2 ) can be correspondingly mapped to those 160 (=32×5) precoders. 
     In some embodiments, a rank-2 master codebook is defined, and the UE is configured with a rank-2 codebook which is a subset of the rank-2 master codebook. The selected subset is configured for the UE in the higher layer, by means of a plurality of codebook subset restriction parameters, e.g., (L 1 , L 2 ), scheme index in Table 18, etc. 
     For example, if the UE is configured with (L 1 , L 2 )=(1, 4), then Set 1 corresponding to (L 1 , L 2 )=(1, 4) comprising 8 precoders and Set 2a comprising 8 precoders, are selected as valid rank-2 precoders for PMI reporting. In this case, the total number of rank-2 precoders after the CSR is 16, which can be reported by a 4-bit field. It is noted that other cases with (L 1 , L 2 )=(4, 1) and (2, 2) can also be similarly constructed, and a 4-bit field can convey the selected rank-2 precoder after CSR in these cases as well. 
     For example, if the UE is configured with Scheme 1 ( 1610 ) with Option 2 with L 1 =L 2 =2, then Set 1, Set 2a, Set 3 and Set 4 corresponding to L 1 =L 2 =2 are selected as valid rank-2 precoders for PMI reporting. In this case, Set 1 has 8 precoders (4×2 same-beam precoders, including two different co-phases), Set 2a and Set 3 have 4 precoders (2×2 different-beam precoders in the 1 st  dimension), and Set 4 has 4 precoders (2×2 different-beam precoders in the 2 nd  dimension). The total number of rank-2 precoders after the CSR is 16, which can be reported by a 4-bit field. 
     For example, if the UE is configured with Scheme 2 ( 1620 ) with Option 2 with L 1 =L 2 =2, then Set 1, Set 2a, Set 4, Set 5 and Set 6 corresponding to L 1 =L 2 =2 and Scheme 2 ( 1620 ) are selected as valid rank-2 precoders for PMI reporting. In this case, Set 1 has 8 precoders (4×2 same-beam precoders), Set 2a and Set 4 have 4 precoders (2 different-beam precoders respectively in the and the 2 nd  dimensions), and Set 5 and Set 6 have 4 precoders (2 diagonal beam pairs respectively in the +45 and −45 degree directions). The total number of rank-2 precoders after the CSR is 16, which can be reported by a 4-bit field. 
     In some embodiments, the UE reports i 2,1  (i 2,1 ′), i 2,2  (i 2,2 ′) and n in place of i 2 , in which case m 1 , m 1 ′, m 2 , and m 2 ′ are determined as:
 
 m   1   =s   1   i   1,1   +p   1   i   2,1   ,m   1   ′=s   1   i   1,1   +p   1   i   2,1   ′,m   2   =s   2   i   1,2   +p   2   i   2,2 , and  m   2   ′=s   2   i   1,2   +p   2   i   2,2 ′.
 
     In those embodiments related to Table 19, and other related embodiments, the parameters s 1 , s 2 , p 1 , and p 2  in this table can be selected, e.g., according to Table 3, and it is assumed that L 1 = 
     
       
         
           
             
               
                 i 
                 
                   1 
                   , 
                   H 
                 
               
               = 
               0 
             
             , 
             1 
             , 
             … 
             , 
             
               
                 
                   
                     
                       N 
                       1 
                     
                     ⁢ 
                     
                       O 
                       1 
                     
                   
                   
                     Ps 
                     1 
                   
                 
                 - 
                 
                   1 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   and 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     i 
                     
                       1 
                       , 
                       V 
                     
                   
                 
               
               = 
               0 
             
             , 
             1 
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             , 
             
               
                 
                   
                     N 
                     2 
                   
                   ⁢ 
                   
                     O 
                     2 
                   
                 
                 
                   s 
                   2 
                 
               
               - 
               1. 
             
           
         
       
     
     Please see the below Table Section for Table 19. 
     Note that if (L 1 ,L 2 ) is restricted to {(4,1), (1,4), (2,2)}, then some codewords in Table 19 can never be selected. Hence, we alternatively propose to reduce the size of master codebook and define the codebook subset restriction in terms of (L 1 , L 2 ) accordingly. 
     In some embodiments, a rank-2 master codebook is defined, and the UE is configured with a rank-2 codebook which is a subset of the rank-2 master codebook. The selected subset is configured for the UE in the higher layer, by means of a plurality of codebook subset restriction parameters, e.g., (L 1 , L 2 ), scheme index in Table 18, and the like. 
     An example rank-2 master codebook construction can be found in Table 20 assuming S 1 =s 2 =2 and p 1 =p 2 =1. The master codebook can be used for any of Q=12, 16 and 32 antenna configurations, wherein the corresponding rank 2 precoding matrix is: 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
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                 ( 
                 2 
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                       ⁢ 
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                 ⁡ 
                 
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                             v 
                             
                               m 
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                               v 
                               
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                               n 
                             
                           
                           ⁢ 
                           
                             
                               v 
                               
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                                 m 
                                 2 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               . 
             
           
         
       
     
     In this table, the 2 nd  dimension beam index m 2  increases first as i 2  increases. Similar table can be constructed for the case in which the 1 st  dimension beam index m 1  increases first as i 2  increases. The codebook comprises all the same beam pairs corresponding to the three beam groups (L 1 ,L 2 )=(4,1), (1,4) and (2,2) (indices 0-3 in Table 17), different beam pairs-Rel12 (indices 4-7 in Table 177) corresponding to the beam groups (L 1 ,L 2 )=(4,1) and (1,4), and different beam pairs—non-Rel12 (indices 8-9 in Table 17) corresponding to the beam groups (L 1 ,L 2 )=(2,2). 
     In this case, the codebook subset restriction can be constructed as in Table 21 for  1140 ,  1150  and  1160 . 
     In some embodiments, the beam spacing p 1  for the first dimension is selected such that a narrowly spaced beams in the first dimension comprise a beam group, and the beam spacing p 2  for the second dimension is selected such that a widely spaced beams in the second dimension comprise the beam group. For example, for Q=16, N 1 =8, N 2 =2, o 1 =o 2 =8, p 1  and p 2  can be chosen as: p 1 =1, p 2 =8, i.e., a beam group in the first dimension comprises of narrowly spaced adjacent beams and a beam group in the second dimension comprises of widely spaced orthogonal beams. 
     Please see the below Table Section for Tables 20 and 21. 
     In some embodiments, v m     1   , v m     1   ′, v m     2   , and v m     2   ′ to comprise a precoding matrix 
                 W       m   1     ,     m   2     ,     m   1   ′     ,     m   1   ′     ,   n       (   2   )       =       1       2   ⁢   Q         ⁡     [             v     m   1       ⊗     v     m   2                 v     m   1   ′       ⊗     v     m   2   ′                     φ   n     ⁢       v     m   1       ⊗     v     m   2                   -     φ   n       ⁢       v     m   1   ′       ⊗     v     m   2   ′                 ]         ,         
are differently configured depending on whether beamformed CSI-RS, or non-precoded CSI-RS or both are configured. In one such example with Q=16 and N 1 =8 and N 2 =2:
         When the UE is configured with only non-precoded CSI-RS or both types of CSI-RS, the UE is further configured to use:       

     
       
         
           
             
               
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                       t 
                     
                     ⁢ 
                     
                         
                     
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                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       v 
                       
                         m 
                         2 
                         ′ 
                       
                     
                   
                   = 
                   
                     
                       [ 
                       
                         1 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           ⅇ 
                           
                             j 
                             ⁢ 
                             
                               
                                 2 
                                 ⁢ 
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                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 
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                                   ′ 
                                 
                               
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                       ] 
                     
                     t 
                   
                 
               
               ; 
             
           
         
       
         
         
           
             When the UE is configured with only beamformed CSI-RS, the UE is further configured to use:
 
 v   m     1     =e   m     1     (4×1)   ,v   m     2     =e   m     2     (2×1) ,
 
 v   m     1     ′   =e   m     1     ′   (4×1) , and  v   m     2     ′   =e   m     2     ′   (2×1) ;
 
Herein e m   (N×1) , m=0, 1, . . . , N−1, is an N×1 column vector comprising with (N−1) elements with zero value and one element with value of one. The one element with value of one is on (m+1)-th row. For example, e 1   (4×1) =[0 1 0 0] t ; and e 2   (4×1) =[0 0 1 0] t . In this case, the UE is further configured to use i 1,1 =i 1,2 =0 in the table entries, and the UE is configured to report only i 2  as PMI, and not to report i 1,1  and i 1,2 .
 
           
         
       
    
     In these embodiments, the UE can identify that a configured CSI-RS resource is beamformed or non-precoded by:
         Alt 1. Explicit RRC indication: The UE is configured with a higher-layer parameter for the configured CSI-RS resource, indicating whether the configured CSI-RS resource is beamformed or non-precoded.   Alt 2. Implicit indication: The UE is configured with a different set of CSI-RS port numbers for beamformed CSI-RS than the non-precoded CSI-RS. In one example, the beamformed CSI-RS takes antenna port numbers 200-207, while the non-precoded CSI-RS takes antenna port numbers 15-30.       

     Embodiment: Alternative Master Codebook Design 
     In the legacy rank-2 codebook design, dual-pol propagation and azimuth angle spread have been taken into account. In the Rel-10 8-Tx rank-2 codebook, rank-2 precoder codebook comprises two types of rank-2 precoding matrices:
         Type 1. Same-beam: the two beams for the two layers are the same   Type 2. Different-beam: the two beams for the two layers are different
 
For each selected beam pair for the two layers, two precoders can be constructed with applying two co-phase matrices of
       

     
       
         
           
             
               [ 
               
                 
                   
                     1 
                   
                   
                     1 
                   
                 
                 
                   
                     1 
                   
                   
                     
                       - 
                       1 
                     
                   
                 
               
               ] 
             
             ⁢ 
             
                 
             
             ⁢ 
             
               
                 and 
                 ⁢ 
                 
                     
                 
                 [ 
                 
                   
                     
                       1 
                     
                     
                       1 
                     
                   
                   
                     
                       j 
                     
                     
                       
                         - 
                         j 
                       
                     
                   
                 
                 ] 
               
               . 
             
           
         
       
     
     For FD-MIMO, a similar rank-2 codebook construction can be considered. Relying on the Kronecker structure, a rank-2 master codebook can be constructed with these two types of rank-2 precoding matrices. For the 2D antenna configurations, the type 2 precoding matrices are further classified into:
         Type 2-1. Different-beam in horizontal only: the two beams for the two layers are different for the horizontal component   Type 2-2. Different-beam in vertical only: the two beams for the two layers are different for the vertical component   Type 2-2. Different-beam in both horizontal &amp; vertical: the two beams for the two layers are different for both horizontal and vertical components       

       FIG. 17  illustrates total Rank-2 beam pair combinations  1700  with 16 beams per layer according to embodiments of the present disclosure.  FIG. 17  illustrates total 136 (=1+2+ . . . +16) beam combinations that can be used to construct FD-MIMO rank-2 precoders, with assuming a beam index mapping table of Table 22. The figure further shows the corresponding precoding matrix types. Considering the two co-phase matrices, the total number of rank-2 precoders in this case become 136×2=276, which seems to be too many, even for a master codebook. 
     
       
         
           
               
             
               
                 TABLE 22 
               
             
            
               
                   
               
               
                 Beam index mapping for (L 1 , L 2 ) = (4, 4) 
               
            
           
           
               
               
            
               
                   
                 Beam index 
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
               
            
               
                   
                 0 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 8 
                 9 
                 10 
                 11 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 (V, H) 
                 (0, 0) 
                 (0, 
                 (0, 
                 (0, 
                 (1, 
                 (1, 
                 (1, 
                 (1, 
                 (2, 
                 (2, 
                 (2, 
                 (2, 
                 (3, 
                 (3, 
                 (3, 
                 (3, 
               
               
                   
                   
                 1) 
                 2) 
                 3) 
                 0) 
                 1) 
                 2) 
                 3) 
                 0) 
                 1) 
                 2) 
                 3) 
                 0) 
                 1) 
                 2) 
                 3) 
               
               
                   
               
            
           
         
       
     
     One potential way to construct a master codebook with a reasonable size is to reuse the Rel-10 8-Tx beam pair combinations for both dimensions as illustrated in  FIG. 18 . In this case, the number of beam pair combinations per dimension per beam group is 8: {(0,0),(1,1),(2,2),(3,3),(0,1),(1,2),(0,3),(1,3)}. In this case, the total number of beam pair combinations for the 2 dimensions per beam group is 8×8=64. With applying the two co-phase matrices, the total number of rank-2 precoding matrices per beam group constructed in this way becomes 64×2=128. When compared with the total 64 number of rank-1 precoding matrices per beam group, this master rank-2 codebook still has twice large number as the rank-1 precoding matrix in the master codebook. 
       FIG. 18  illustrates Rank-2 beam pair combinations  1800  obtained with extension of Rel-10 8-Tx design to 2D according to embodiments of the present disclosure. 
     Alternative Master Codebook Design 
     
       
         
           
               
             
               
                 TABLE 23 
               
             
            
               
                   
               
               
                 Beam index mapping for (L 1 , L 2 ) = (4, 4) 
               
            
           
           
               
               
            
               
                   
                 Beam pair index 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 0 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 (first layer, 
                 (0, 0) 
                 (1, 1) 
                 (2, 2) 
                 (3, 3) 
                 (0, 1) 
                 (1, 2) 
                 (0, 3) 
                 (1, 3) 
               
               
                 second 
               
               
                 layer) 
               
               
                   
               
            
           
         
       
     
       FIG. 19  and Table 23 illustrate a method to construct rank-2 master codebook  1900  according to some embodiments of the present disclosure. Utilizing the 8 beam pairs in Table 23 for each dimension, an 8×8 grid can be considered for the two dimensions as shown in  FIG. 19 . When beam pair indices (x, y) is selected for the 1 st  and 2 nd  dimensions, corresponding beam pairs are selected for the two dimensions, according to Table 23. 
     For example, applying Table 23 to each of x and y, with x=1 the selected beam pair for the first dimension is (1,1) and with y=2, the selected beam pair for the second dimension is (2,2). Then, the corresponding rank-2 precoding matrix is: 
                 W       m   1     ,     m   2     ,     m   1   ′     ,     m   1   ′     ,   n       (   2   )       =       1       2   ⁢   Q         ⁡     [             v     m   1       ⊗     v     m   2                 v     m   1   ′       ⊗     v     m   2   ′                     φ   n     ⁢       v     m   1       ⊗     v     m   2                   -     φ   n       ⁢       v     m   1   ′       ⊗     v     m   2   ′                 ]         ,         
where
 
 m   1   =m   1   ′=s   1   ·i   1,1   +p   1 ; and
 
 m   2   =m   2   ′=s   2   ·i   1,2 +2 p   2 .
 
     In general, when the selected beam pair for the first dimension is (a 0 ,a 1 ) and the selected beam pair for the second dimension is (b 0 ,b 1 ), the beam indices m 1 , m 1 ′, m 2 , m 2 ′ are selected as
 
 m   1   =s   1   ·i   1,1   +a   0   ·p   1 ;
 
 m   1   ′=s   1   ·i   1,1   +a   1   ·p   1 ;
 
 m   2   =s   2   ·i   1,2   +b   0 ·2 p   2 ; and
 
 m   2   ′=s   2   ·i   1,2   +b   1 ·2 p   2 .
 
     As total number of pairs for (x,y) in  FIG. 19  is 64, with applying the two co-phases of {1,j} for φ n , total number of codewords becomes 128. In order to keep the number of codewords to 64, one possible alternative is to keep type 1 and type 2-3 codewords. In this case, (x, y)ε{(x, y):xε{0,1,2,3}; yε{0,1,2,3}}Å{(x, y):xε{4,5,6,7}; yε{4,5,6,7}}. 
       FIGS. 20A to 20D  illustrates antenna configurations and antenna numbering  2001 ,  2002 ,  2003  and  2004  respectively considered in some embodiments of the present disclosure. In all the four antenna configurations of  FIGS. 20A to 20D , cross pol (or Cross-pol) antenna array is considered, in which a pair of antenna elements in a same physical location are polarized in two distinct angles, e.g., +45 degrees and −45 degrees. 
       FIGS. 20A and 20B  are antenna configurations with 16 CSI-RS ports, comprising 8 pairs of cross-pol antenna elements placed in a 2D antenna panel. The 8 pairs can be placed in 2×4 ( FIG. 20A ) or 4×2 manner ( FIG. 20B ) on horizontal and vertical dimensions. 
       FIGS. 20C and 20D  are antenna configurations with 12 CSI-RS ports, comprising 6 pairs of cross-pol antenna elements placed in a 2D antenna panel. The 8 pairs can be placed in 2×3 ( FIG. 20C ) or 3×2 manner ( FIG. 20D ) on horizontal and vertical dimensions. 
     Antenna number assignment in  FIGS. 20A to 20D   
     In  FIGS. 20A to 2D , antennas are indexed with integer numbers, 0, 1, . . . ,15 for 16-port configurations ( FIGS. 20A and 20B ), and 0, . . . , 11 for 12-port configurations ( FIGS. 20C and 20D ). 
     In wide arrays (such as 12-port config A and 16-port config A), antenna numbers are assigned such that
         Consecutive numbers are assigned for all the antenna elements for a first polarization, and proceed to a second polarization.   For a given polarization,
           Numbering scheme 1: consecutive numbers are assigned for a first row with progressing one edge to another edge, and proceed to a second row.   Numbering scheme 2: consecutive numbers are assigned for a first column with progressing one edge to another edge, and proceed to a second column.   
               

     For example, in  FIG. 20A , antenna numbers 0-7 are assigned for a first polarization, and 8-15 are assigned for a second polarization; and antenna numbers 0-3 are assigned for a first row and 4-7 are assigned for a second row. 
     Antenna numbers in tall arrays (such as 12-port config B and 16-port config B) are obtained by simply rotating the wide antenna arrays (such as 12-port config A and 16-port config A) by 90 degrees. 
     PMI feedback precoder generation according to the antenna numbering in  FIGS. 20A to 20D   
     In some embodiments, when a UE is configure with 12 or 16 port CSI-RS for a CSI-RS resource, the UE is configured to report a PMI feedback precoder according to the antenna numbers in  FIGS. 2A to 2D . A rank-1 precoder, W m,n,p , which is an N CSIRS ×1 vector, to be reported by the UE has the following form: 
                 W     m   ,   n   ,   p       =         [       w   0     ⁢           ⁢     w   1     ⁢           ⁢   …   ⁢           ⁢     w       N   CSIRS     -   1         ]     t     =       1       N   CSIRS         ⁡     [             v   m     ⊗     u   n                   φ   p     ⁡     (       v     m   ′       ⊗     u     n   ′         )             ]           ,         
wherein:
         N CSIRS =number of configured CSI-RS ports in the CSI-RS resource, e.g., 12, 16, etc.   u n  is a N×1 oversampled DFT vector for a first dimension, whose oversampling factor is o 2 .   v m  is a M×1 oversampled DFT vector for a second dimension, whose oversampling factor is o 1 .   The dimension assignment can be done with N≧M according to numbering scheme 1 in  FIGS. 20A to 20D , with (N,M)ε{(4,2),(4,3),(2,2)}; alternatively, the dimension assignment can be done with N≦M with swapping the role of columns and rows, with (N,M)ε{(2,4),(3,4), (2,2)} according to numbering scheme 2 in  FIGS. 20A to 20D .   φ p  is a co-phase, e.g., in a form of       

     
       
         
           
             
               ⅇ 
               
                 
                   2 
                   ⁢ 
                   π 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   p 
                 
                 4 
               
             
             , 
           
         
       
         
         
           
              p=0, 1, 2, 3. 
           
         
       
    
     Here, example set of oversampling factors that can be configured for S 1  and S 2  are 4 and 8; and m, m′ ε{0, 1, . . . , o 1  M}, and n, n′ ε{0, 1, . . . , o 2 N}. In a special case, m=m′ and n=n′. 
       FIG. 21  illustrates a precoding weight application  2100  to antenna configurations of  FIGS. 20A to 20D  according to some embodiments of the present disclosure. 
     When any of 16-port config A and B is used at the eNB with configuring N CSIRS =16 to the UE, a submatrix v m   u n  of W m,n,p  corresponds to a precoder applied on 8 co-pol elements, whose antenna numbers are 0 through 7. Given the antenna configuration, M=2 and N=4 should be configured for v m  and u n . If 16-port config A is used, u n  is a 4×1 vector representing a horizontal DFT beam and v m  is a 2×1 vector representing a vertical DFT beam. If 16-port config B is used, u n  is a 4×1 vector representing a vertical DFT beam and v m  is a 2×1 vector representing a horizontal DFT beam. 
     With 12 or 16-port configurations, v m  can be written as 
     
       
         
           
             
               v 
               m 
             
             = 
             
               
                 
                   [ 
                   
                     1 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             2 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             m 
                           
                           
                             M 
                             ′ 
                           
                         
                       
                     
                   
                   ] 
                 
                 t 
               
               = 
               
                 
                   
                     [ 
                     
                       1 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         ⅇ 
                         
                           j 
                           ⁢ 
                           
                             
                               2 
                               ⁢ 
                               π 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               m 
                             
                             
                               Mo 
                               1 
                             
                           
                         
                       
                     
                     ] 
                   
                   t 
                 
                 . 
               
             
           
         
       
     
     With 16-port configurations, u n  can be written as: 
     
       
         
           
             
               u 
               n 
             
             = 
             
               
                 
                   [ 
                   
                     1 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             2 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             N 
                             ′ 
                           
                         
                       
                     
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             4 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             N 
                             ′ 
                           
                         
                       
                     
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             6 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             N 
                             ′ 
                           
                         
                       
                     
                   
                   ] 
                 
                 t 
               
               = 
               
                 
                   
                     [ 
                     
                       1 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         ⅇ 
                         
                           j 
                           ⁢ 
                           
                             
                               2 
                               ⁢ 
                               π 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               n 
                             
                             
                               No 
                               2 
                             
                           
                         
                       
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         ⅇ 
                         
                           j 
                           ⁢ 
                           
                             
                               4 
                               ⁢ 
                               π 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               n 
                             
                             
                               No 
                               2 
                             
                           
                         
                       
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         ⅇ 
                         
                           j 
                           ⁢ 
                           
                             
                               6 
                               ⁢ 
                               π 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               n 
                             
                             
                               No 
                               2 
                             
                           
                         
                       
                     
                     ] 
                   
                   t 
                 
                 . 
               
             
           
         
       
     
     With 12-port configurations, u n  can be written as: 
     
       
         
           
             
               u 
               n 
             
             = 
             
               
                 
                   [ 
                   
                     1 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             2 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             N 
                             ′ 
                           
                         
                       
                     
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             4 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             N 
                             ′ 
                           
                         
                       
                     
                   
                   ] 
                 
                 t 
               
               = 
               
                 
                   
                     [ 
                     
                       1 
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         ⅇ 
                         
                           j 
                           ⁢ 
                           
                             
                               2 
                               ⁢ 
                               π 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               n 
                             
                             
                               No 
                               2 
                             
                           
                         
                       
                       ⁢ 
                       
                           
                       
                       ⁢ 
                       
                         ⅇ 
                         
                           j 
                           ⁢ 
                           
                             
                               4 
                               ⁢ 
                               π 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               n 
                             
                             
                               No 
                               2 
                             
                           
                         
                       
                     
                     ] 
                   
                   t 
                 
                 . 
               
             
           
         
       
     
     Precoding weights to be applied to antenna port numbers 0 through 3 are u n , and the preceding weights to be applied to antenna ports 4 through 7 are 
                 u   n     ⁢     ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢   m       Mo   1             =       u   n     ⁢     ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢   m       M   ′                   
with an appropriate power normalization factor. Similarly, preceding weights to be applied to antenna port numbers 8 through 11 are u n ′, and the precoding weights to be applied to antenna ports 12 through 15 are
 
               u     n   ′       ⁢     ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢     m   ′         Mo   1                 
with an appropriate power normalization factor. This method of preceding weight application is illustrated in  FIG. 21 .
 
     It is noted that the preceding weight assignment on the antennas can be similarly illustrated for 12-port config A and B, to the case of 16-port config A and B. 
     For CQI derivation purpose, UE needs to assume that PDSCH signals on antenna ports {7, . . . 6+v} for v layers would result in signals equivalent to corresponding symbols transmitted on antenna numbers in {0, 1, . . . , N CSIRS −1}, as given by 
                 [             y     (   0   )       ⁡     (   i   )               ⋮               y     (       N   CSIRS     -   1     )       ⁡     (   i   )             ]     =         W     m   ,   n   ,   p       ⁡     (   i   )       ⁡     [             x     (   0   )       ⁡     (   i   )               ⋮               x     (     v   -   1     )       ⁡     (   i   )             ]         ,         
where x(i)=[x (0) (i) . . . x (v−1) (i)] T  is a vector of symbols from the layer mapping in subclause 6.3.3.2 of 3GPPTS36.211, where W m,n,p (i) is the precoding matrix corresponding to the reported PMI applicable to x(i).
 
     Parameter configuration for oversampled DFT codebooks v m  and u n : 
       FIG. 21  illustrates that a precoder codebook construction  2100  according to some embodiments of the present disclosure. 
               W     m   ,   n   ,   p       =         [       w   0     ⁢           ⁢     w   1     ⁢           ⁢   …   ⁢           ⁢     w       N   CSIRS     -   1         ]     t     =       1       N   CSIRS         ⁡     [             v   m     ⊗     u   n                   φ   p     ⁡     (       v     m   ′       ⊗     u     n   ′         )             ]               
can be flexibly used for both wide and tall 2D arrays, with appropriately configuring parameters M and N.
 
     On the other hand, it is also sometimes desired to allocate a smaller DFT oversampling factor for the vertical dimension than for the horizontal dimension, maybe due to different angle/spread distribution. Hence, configurability of parameters to change the oversampled codebooks, v m  and u n , is desired for that purpose. This motivates the following method. 
     In some embodiments, a UE is configured to report PMI, which are generated according to a precoding matrix, comprising at least those two oversampled DFT vectors: v m  and u n . For the generation of the PMI, the UE is further configured to select a codebook for v m  and a codebook for u n , wherein each codebook for v m  and u n  is selected from multiple codebook choices. For this purpose, the UE may be configured with a set of parameters by higher layers. 
     Some example parameters are:
         M′ and N′: to determine the denominator of the exponents for the oversampled DFT vectors v m  and u n :       

     
       
         
           
             
               
                 v 
                 m 
               
               = 
               
                 
                   [ 
                   
                     1 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             2 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             m 
                           
                           
                             M 
                             ′ 
                           
                         
                       
                     
                   
                   ] 
                 
                 t 
               
             
             ; 
             
               
                 and 
                 ⁢ 
                 
                     
                 
                 ⁢ 
                 
                   u 
                   n 
                 
               
               = 
               
                 
                   
                     
                       [ 
                       
                         1 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           ⅇ 
                           
                             j 
                             ⁢ 
                             
                               
                                 2 
                                 ⁢ 
                                 π 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 n 
                               
                               
                                 N 
                                 ′ 
                               
                             
                           
                         
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           ⅇ 
                           
                             j 
                             ⁢ 
                             
                               
                                 4 
                                 ⁢ 
                                 π 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 n 
                               
                               
                                 N 
                                 ′ 
                               
                             
                           
                         
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           ⅇ 
                           
                             j 
                             ⁢ 
                             
                               
                                 6 
                                 ⁢ 
                                 π 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 n 
                               
                               
                                 N 
                                 ′ 
                               
                             
                           
                         
                       
                       ] 
                     
                     t 
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   or 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     u 
                     n 
                   
                 
                 = 
                 
                   
                     
                       [ 
                       
                         1 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           ⅇ 
                           
                             j 
                             ⁢ 
                             
                               
                                 2 
                                 ⁢ 
                                 π 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 n 
                               
                               
                                 N 
                                 ′ 
                               
                             
                           
                         
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           ⅇ 
                           
                             j 
                             ⁢ 
                             
                               
                                 4 
                                 ⁢ 
                                 π 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 n 
                               
                               
                                 N 
                                 ′ 
                               
                             
                           
                         
                       
                       ] 
                     
                     t 
                   
                   . 
                 
               
             
           
         
       
         
         
           
             P M : to select a codebook out of multiple (e.g., 2) codebooks corresponding to v m  and similarly; and P N : for u n . 
           
         
       
    
     In one method, M′ and N′ are directly configured by two higher layer parameters respectively defined for M′ and N′.
         In one such example, M′ε{16,32} and N′ε{16,32}.   In another such example, M′ε{8,16,32} and N′ε{8,16,32}.       

     In another method, a pair M′ and N′ is configured by a higher layer parameter, namely newParameterToIndicateDenominator. Although this method is less flexible than the previous one, it has a benefit of being able to limit the UE complexity increase. 
     In one such example: 
     
       
         
           
               
               
               
             
               
                   
                   
               
               
                   
                 newParameterToIndicateDenominator 
                 (M′, N′) 
               
               
                   
                   
               
             
            
               
                   
                 A first value 
                 (32, 16) 
               
               
                   
                 A second value 
                 (16, 32) 
               
               
                   
                   
               
            
           
         
       
     
     In another method, P M  and P N  correspond to oversampling factors o 1  and o 2  which is allowed to have a value of either 2, 4 or 8. 
     In some embodiments, to facilitate the UE CSI reporting operation according to some embodiments of the present disclosure, a CSI resource configuration, i.e., CSI-RS-ConfigNZP comprises an additional field, e.g., newParameterToIndicateDenominator, to indicate DFT oversampling factor as illustrated in the following: 
     
       
         
           
               
             
               
                   
               
             
            
               
                 CSI-RS-ConfigNZP-r11 ::= SEQUENCE { 
               
               
                   csi-RS-ConfigNZPId-r11  CSI-RS-ConfigNZPId-r11, 
               
               
                   antennaPortsCount-r11  ENUMERATED {an1, an2, an4, an8, 
               
               
                   an12, an16}, 
               
               
                   newParameterToIndicateDenominator  ENUMERATED {a 
               
               
                 first value, a second value, ...}, 
               
               
                   ... 
               
               
                 } 
               
               
                   
               
            
           
         
       
     
       FIG. 22  illustrates an example 1D antenna configurations and antenna numbering  2200 —16 port according to embodiments of the present disclosure. 
       FIG. 23  illustrates an example 1D antenna configurations and antenna numbering  2300 —12 port according to embodiments of the present disclosure. 
       FIG. 22  and  FIG. 23  show an 1D antenna configuration and application of the precoding matrix  2200  and  2300  constructed for 16 and 12 port CSI-RS respectively according to some embodiments of the present disclosure. 
     For this antenna configuration, a rank-1 precoding matrix W n,p  can be constructed as: 
                 W     n   ,   p       =         [       w   0     ⁢           ⁢     w   1     ⁢           ⁢   …   ⁢           ⁢     w       N   CSIRS     -   1         ]     t     =       1       N   CSIRS         ⁡     [           u   n                 φ   p     ⁢     u   n             ]           ,         
wherein:
         u n  is a N×1 oversampled DFT vector, whose oversampling factor is S N :       

     
       
         
           
             
               u 
               n 
             
             = 
             
               
                 [ 
                 
                   1 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           2 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           4 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           6 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           8 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           10 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           12 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           14 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                 
                 ] 
               
               t 
             
           
         
       
         
         
           
              for 16 port CSI-RS; and 
           
         
       
    
     
       
         
           
             
               u 
               n 
             
             = 
             
               
                 [ 
                 
                   1 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           2 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           4 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           6 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           8 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           10 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           n 
                         
                         
                           N 
                           ′ 
                         
                       
                     
                   
                 
                 ] 
               
               t 
             
           
         
       
         
         
           
              for 12 port CSI-RS; 
             N=8 (for  FIG. 22 , i.e., for 16 port CSI-RS) or 6 (for  FIG. 23 , i.e., for 12 port CSI-RS) number of columns
 
 N′=N·S   N .
 
           
         
       
    
     It is noted that the rank-1 precoding matrix W m,n,p  constructed for the 2D antenna array of  FIG. 2  of the following form: 
                 W     m   ,   n   ,   p       =         [       w   0     ⁢           ⁢     w   1     ⁢           ⁢   …   ⁢           ⁢     w       N   CSIRS     -   1         ]     t     =         1       N   CSIRS         ⁡     [             v   m     ⊗     u   n   ′                   φ   p     ⁡     (       v   m     ⊗     u   n   ′       )             ]       =       1       N   CSIRS         ⁡     [           u   n   ′                 ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢   m       M   ′           ⁢     u   n   ′                   φ   p     ⁢     u   n   ′                   φ   p     ⁢     ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢   m       M   ′           ⁢     u   n   ′             ]             ;         
where u n ′ is an oversampled DFT vector of length N/2, can be used for constructing the rank-1 precoding matrix W n,p  constructed for the 1D antenna array, with some changes: v m   u n ′, the single-pol component of W m,n,p , should be the same as u n  so that it can be used for 1D array. We can see that u n  can be written as:
 
                 u   n     =         [       u   n   ′     ⁢           ⁢     ⅇ     j   ⁢         2   ⁢   π   ⁢           ⁢   n       N   ′       ·     N   2           ⁢     u   n   ′       ]     t     =       [         1             ⅇ     j   ⁢         2   ⁢   π   ⁢           ⁢   n       N   ′       ·     N   2                 ]     ⊗     u   n   ′           ;         
and hence, we need to have
 
               v   m     =     [         1             ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢   m       M   ′                 ]           
should be equal to
 
               [         1             ⅇ     j   ⁢         2   ⁢   π   ⁢           ⁢   n       N   ′       ·     N   2                 ]     ,         
in order to use the 2D precoding matrix to 1D antenna array. With equating the exponents, we obtain:
 
     
       
         
           
             m 
             = 
             
               
                 
                   
                     
                       M 
                       ′ 
                     
                     ⁢ 
                     n 
                   
                   
                     N 
                     ′ 
                   
                 
                 · 
                 
                   N 
                   2 
                 
               
               = 
               
                 
                   
                     
                       M 
                       ′ 
                     
                     ⁢ 
                     n 
                   
                   
                     2 
                     ⁢ 
                     
                       o 
                       2 
                     
                   
                 
                 . 
               
             
           
         
       
     
     With 16-port CSI-RS case illustrated in  FIG. 22 , N/2=4; in this case, 
               u   n   ′     =           [     1   ⁢           ⁢     ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢   n       N   ′           ⁢           ⁢     ⅇ     j   ⁢       4   ⁢   π   ⁢           ⁢   n       N   ′           ⁢           ⁢     ⅇ     j   ⁢         6   ⁢   π     ⁢               N   ′             ]     t     ⁢           ⁢   and   ⁢           ⁢   m     =         4   ⁢     M   ′     ⁢   n       N   ′       ⁢           ⁢       (       or   ⁢           ⁢     v   m       =     [         1             ⅇ     j   ⁢       8   ⁢   π   ⁢           ⁢   n       N   ′                 ]       )     .               
Furthermore, if M′=N′, we need
 
               m   =     4   ⁢   n   ⁢           ⁢     (       or   ⁢           ⁢     v   m       =     [         1             ⅇ     j   ⁢       8   ⁢   π   ⁢           ⁢   n       M   ′                 ]       )         ,         
to use the 2D precoding matrix to 1D antenna array. If M′=N′/2, we need
 
               m   =     2   ⁢   n   ⁢           ⁢     (       or   ⁢           ⁢     v   m       =     [         1             ⅇ     j   ⁢       4   ⁢   π   ⁢           ⁢   n       M   ′                 ]       )         ,         
to use the 2D precoding matrix to 1D antenna array.
 
     With 12-port CSI-RS case illustrated in  FIG. 23 , N/2=3; in this case, 
               u   n   ′     =           [     1   ⁢           ⁢     ⅇ     j   ⁢       2   ⁢   π   ⁢           ⁢   n       N   ′           ⁢           ⁢     ⅇ     j   ⁢       4   ⁢   π   ⁢           ⁢   n       N   ′             ]     t     ⁢           ⁢   and   ⁢           ⁢   m     =         3   ⁢     M   ′     ⁢   n       N   ′       ⁢           ⁢       (       or   ⁢           ⁢     v   m       =     [         1             ⅇ     j   ⁢       6   ⁢   π   ⁢           ⁢   n       N   ′                 ]       )     .               
Furthermore, if M′=N′, we need m=3n, to use the 2D precoding matrix to 1D antenna array. If M′=N′/2, we need
 
               m   =     3   ⁢   n   ⁢     /     ⁢   2   ⁢           ⁢     (       or   ⁢           ⁢     v   m       =     [         1             ⅇ     j   ⁢       3   ⁢   π   ⁢           ⁢   n       N   ′                 ]       )         ,         
to use the 2D precoding matrix to 1D antenna array.
 
     Dimension-Restricted PMI 
     Hence, in some embodiments, for rank-1 reporting, a UE can be configured to report PMI corresponding to a precoding matrix W m,n,p , in the 2D codebook, wherein the first index m, is determined as a deterministic function of the second index n and the number of CSI-RS ports. The UE is configured this way when eNB wants to use the 2D codebook constructed for the 2D array of  FIG. 2  for supporting 1D array of  FIG. 22  and  FIG. 23 . The UE is configured to report PMI in such a way when the UE is configured to report dimension restricted PMI by higher-layer signaling (RRC). Some examples are as in the following. 
     In the below examples, the UE is configured to report information only on n and p.
         Ex 1) When the number of CSI-RS ports is 16 and M′=N′, the UE is configured to report W m=4n,n,p . Here m=4n and       

     
       
         
           
             
               v 
               m 
             
             = 
             
               [ 
               
                 
                   
                     1 
                   
                 
                 
                   
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             8 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             M 
                             ′ 
                           
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
         
         
           
              is assumed for CQI derivation and precoding matrix construction. 
             Ex 2) When the number of CSI-RS ports is 12 and M′=N′, the UE is configured to report W m=3n,n,p . Here m=3n and 
           
         
       
    
     
       
         
           
             
               v 
               m 
             
             = 
             
               [ 
               
                 
                   
                     1 
                   
                 
                 
                   
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             6 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             M 
                             ′ 
                           
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
         
         
           
              is assumed for CQI derivation and precoding matrix construction. 
             Ex 3) When the number of CSI-RS ports is 16 and M′=N′/2, the UE is configured to report W m=2n,n,p . Here m=2n and 
           
         
       
    
     
       
         
           
             
               v 
               m 
             
             = 
             
               [ 
               
                 
                   
                     1 
                   
                 
                 
                   
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             4 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             M 
                             ′ 
                           
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
         
         
           
              is assumed for CQI derivation and precoding matrix construction. 
             Ex 4) When the number of CSI-RS ports is 12 and M′=N′/2, the UE is configured to report W m=3n/2,n,p . Here m=3n/2 and 
           
         
       
    
     
       
         
           
             
               v 
               m 
             
             = 
             
               [ 
               
                 
                   
                     1 
                   
                 
                 
                   
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             3 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             n 
                           
                           
                             M 
                             ′ 
                           
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
         
         
           
              is assumed for CQI derivation and precoding matrix construction. 
           
         
       
    
     For rank-2 reporting, a UE can be configured to report PMI corresponding to a precoding matrix W m,n,m′,n′,p   (2) , in the 2D codebook, wherein the first indices m and m′ are respectively determined as deterministic functions of the second index n, n′ and the number of CSI-RS ports. The UE is configured to report PMI in such a way when the UE is configured to report dimension restricted PMI by higher-layer signaling (RRC). 
     Here, 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
                 , 
                 
                   m 
                   2 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 n 
               
               
                 ( 
                 2 
                 ) 
               
             
             = 
             
               
                 
                   1 
                   
                     
                       2 
                       ⁢ 
                       Q 
                     
                   
                 
                 ⁡ 
                 
                   [ 
                   
                     
                       
                         
                           
                             v 
                             
                               m 
                               1 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             v 
                             
                               m 
                               1 
                               ′ 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                               ′ 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                                 ′ 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               . 
             
           
         
       
         
         
           
             Ex 1) When the number of CSI-RS ports is 16 and M′=N′, the UE is configured to report W m=4n,n,m′=4n′,n′m,p . 
             Ex 2) When the number of CSI-RS ports is 12 and M′=N′, the UE is configured to report W m=3n,n,m′=3n′,n′,p . 
             Ex 3) When the number of CSI-RS ports is 16 and M′=N′/2, the UE is configured to report W m=2n,n,m′=2n′u,n′,p . 
             Ex 4) When the number of CSI-RS ports is 12 and M′=N′/2, the UE is configured to report W m=3n/2,n,m′=3n′/2,n′,p . 
           
         
       
    
     The dimension restriction can apply in a similar manner for other rank cases as well. 
     In this case, only the first dimension PMI&#39;s (i.e., m and p) are reported, and the second dimension PMI&#39;s (i.e., n) are determined as a function of m and not reported, i.e., the PMI is dimension-restricted. 
     In some alternative embodiments, a UE is configured to report PMI according to a rank-specific codebook table. 
     An example table for RI=1 is shown in Table 24, wherein: 
     
       
         
           
             
               
                 W 
                 
                   
                     m 
                     1 
                   
                   , 
                   
                     m 
                     2 
                   
                   , 
                   n 
                 
                 
                   ( 
                   1 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     Q 
                   
                 
                 ⁡ 
                 
                   [ 
                   
                     
                       
                         
                           
                             v 
                             
                               m 
                               1 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
             
             , 
           
         
       
         
         
           
             Q is number of configured NZP CSI-RS ports 
           
         
       
    
     
       
         
           
               
             
               
                 TABLE 24 
               
               
                   
               
               
                 Master codebook for 1 layer CSI reporting for (L 1 , L 2 ) = (4, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 i 2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     2     i     1, 2     , 0   (1)   
                 W s     1     i     1, 1     , s     2     i     1, 2     , 1   (1)   
                 W s     1     i     1, 1     , s     2     i     1, 2     , 2   (1)   
                 W s     1     i     1, 1     , s     2     i     1, 2     , 3   (1)   
               
               
                   
               
               
                 i 2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +p     1     , s     2     i     1, 2     , 0   (1)   
                 W s     1     i     1, 1     +p     1     , s     2     i     1, 2     , 1   (1)   
                 W s     1     i     1, 1     +p     1     , s     2     i     1, 2     , 2   (1)   
                 W s     1     i     1, 1     +p     1     , s     2     i     1, 2     , 3   (1)   
               
               
                   
               
               
                 i 2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +2p     1     , s     2     i     1, 2     , 0   (1)   
                 W s     1     i     1, 1     +2p     1     , s     2     i     1, 2     , 1   (1)   
                 W s     1     i     1, 1     +2p     1     , s     2     i     1, 2     , 2   (1)   
                 W s     1     i     1, 1     +2p     1     , s     2     i     1, 2     , 3   (1)   
               
               
                   
               
               
                 i 2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , 0   (1)   
                 W s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , 1   (1)   
                 W s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , 2   (1)   
                 W s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , 3   (1)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 16-31 
               
               
                   
               
               
                 Precoder 
                 Entries 16-31 constructed with replacing the second subscript s 2 i 1, 2  with s 2 i 1, 2  + p 2   
               
               
                   
                 in entries 0-15. 
               
               
                   
               
            
           
         
       
     
     An example table for RI=2 is shown in Table 25, wherein: 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
                 , 
                 
                   m 
                   2 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 n 
               
               
                 ( 
                 2 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     2 
                     ⁢ 
                     Q 
                   
                 
               
               ⁡ 
               
                 [ 
                 
                   
                     
                       
                         
                           v 
                           
                             m 
                             1 
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             m 
                             1 
                             ′ 
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ′ 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           
                             v 
                             
                               m 
                               1 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                             
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                         
                         ⁢ 
                         
                           
                             v 
                             
                               m 
                               1 
                               ′ 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                               ′ 
                             
                           
                         
                       
                     
                   
                 
                 ] 
               
             
           
         
       
     
     Please see the below Table Section for Table 25. 
     When the UE is configured to report dimension restricted PMI by higher-layer signaling (RRC), the UE is configured to force i 1,2 =0, and report only i 1,1  and i 2  according to Table 24. In addition the UE is further configured to select a subset of {i 2 :i 2 ε{0, 1, . . . , 15}} in the codebook which corresponds to the 1D beam group, and report i 2  values selected from the subset only. 
     The same dimension restriction can apply for other rank cases as well. 
     Dimension Restricted PMI Configuration 
     In one method, the UE is configured to report the dimension-restricted PMI if a parameter configured in the higher-layer indicates “1D” configuration; the UE is configured to use the 2D PMI W m,n,p  if the parameter indicates “2D” configuration. 
     In another method, the UE is configured to report the dimension-restricted PMI if a parameter(s) configured in the higher-layer indicates that at least one of M and N is 1; the UE is configured to use the 2D PMI W m,n,p  otherwise. 
     In another method, the UE is configured to report the dimension-restricted PMI if a parameter, say PmiDimensionRestriction is configured in the higher-layer; the UE is configured to use the 2D PMI W m,n,p  if the parameter is not configured. 
     In some embodiments, the UE is configured with a set of codebook subset selection parameters (including the PMI dimension restriction as well), according to the configured antenna dimension parameters, i.e., M and/or N. 
     Parameterized Codebook/Codebook Subset Selection 
     U.S. Provisional patent application Ser. No. 14/995,126 filed on Jan. 23, 2016 discloses a parameterized codebook, and is hereby incorporated by reference in their entirety. Some embodiments in that disclosure are reproduced below. 
     A group of parameters for dimension d comprises at least one of the following parameters:
         a number of antenna ports N d ;   an oversampling factor o d ;   a beam group spacing s d ; (for W1)   a beam offset number f d ;   a beam spacing number p d ; (for W2) and   a number of beams L d .       

     A beam group indicated by a first PMI i 1,d  of dimension d (corresponding to W d   (1) ), is determined based upon these six parameters.
         The total number of beams is N d ·o d ; and the beams are indexed by an integer m d , wherein beam m d , v m     d   , corresponds to a precoding vector       

     
       
         
           
             
               
                 v 
                 
                   m 
                   d 
                 
               
               = 
               
                 
                   [ 
                   
                     1 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             2 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               m 
                               d 
                             
                           
                           
                             
                               o 
                               d 
                             
                             ⁢ 
                             
                               N 
                               d 
                             
                           
                         
                       
                     
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     … 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             2 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               
                                 m 
                                 d 
                               
                               ⁡ 
                               
                                 ( 
                                 
                                   
                                     N 
                                     d 
                                   
                                   - 
                                   1 
                                 
                                 ) 
                               
                             
                           
                           
                             
                               o 
                               d 
                             
                             ⁢ 
                             
                               N 
                               d 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 t 
               
             
             , 
             
               
                 m 
                 d 
               
               = 
               0 
             
             , 
             … 
             , 
             
               
                 
                   N 
                   d 
                 
                 · 
                 
                   o 
                   d 
                 
               
               - 
               1. 
             
           
         
       
         
         
           
             The first PMI of dimension d, namely i 1,d =0, N d ·o d /s d −1, can indicate any of L d  beams indexed by:
 
 m   d   =f   d   +s   d   ·i   1,d   ,f   d   +s   d   ·i   1,d   +p   d   , . . . ,f   d   +s   d   ·i   1,d +( L   d −1) p   d .
 
              These L d  beams are referred to as a beam group. 
           
         
       
    
     In some embodiments: the UE is configured with a parameterized KP codebook corresponding to the codebook parameters (N d , o d , s d , f d , p d , L d ) where d=1,2 from a (master) codebook by applying codebook subset selection. The master codebook is a large codebook with default codebook parameters. 
     In some embodiments: the UE is configured with at least one of those codebook parameters (N d , o d , s d , f d , p d , L d ) and/or PMI dimension restriction for each dimension, when the UE is configured with a set of parameters related to the antenna dimension information, e.g., Q, M and N. 
     The focus of this disclosure is on an alternate design of rank 3-8 codebooks. 
     In some embodiments, the master rank 3-8 codebook parameters for Q=8, 12, 16, and 32 antenna ports and (L 1 ,L 2 )=(4,2) are according to Table 26, where multiple oversampling factors in two dimension are supported. The remaining codebook parameters may be fixed, for example, s 1 =s 2 =1 or 2, and p 1 =1, 2, or O 1  and p 2 =1, 2, or O 2 . Note that Q=PN 1 N 2  in Table 26. 
     
       
         
           
               
             
               
                 TABLE 26 
               
             
            
               
                   
               
               
                 Master rank 3-8 codebook parameters for Q = 8, 12, 16, and 32 antenna 
               
               
                 ports and (L 1 , L 2 ) = (4, 2) 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 Q 
                 N 1   
                 N 2   
                 P 
                 O 1   
                 O 2   
                 L 1   
                 L 2   
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 8 
                 2 
                 2 
                 2 
                 2, 4, 8 
                 2, 4, 8 
                 4 
                 2 
               
               
                   
                 12 
                 3 
                 2 
                 2 
                 2, 4, 8 
                 2, 4, 8 
                 4 
                 2 
               
               
                   
                 12 
                 2 
                 3 
                 2 
                 2, 4, 8 
                 2, 4, 8 
                 4 
                 2 
               
               
                   
                 16 
                 4 
                 2 
                 2 
                 2, 4, 8 
                 2, 4, 8 
                 4 
                 2 
               
               
                   
                 16 
                 2 
                 4 
                 2 
                 2, 4, 8 
                 2, 4, 8 
                 4 
                 2 
               
               
                   
                 32 
                 4 
                 4 
                 2 
                 2, 4, 8 
                 2, 4, 8 
                 4 
                 2 
               
               
                   
                 32 
                 8 
                 2 
                 2 
                 2, 4, 8 
                 2, 4, 8 
                 4 
                 2 
               
               
                   
                   
               
            
           
         
       
     
     The oversampling factor in one or both dimensions is configurable according to the below table. 
     
       
         
           
               
               
               
             
               
                   
                   
               
             
            
               
                   
                 Oversampling factor O d  in dimension d where d = 1, 2 
                 2, 4, 8 
               
               
                   
                   
               
            
           
         
       
     
     In some embodiments, the master codebook parameters for Q=8, 12, 16, and 32 antenna ports and (L 1 ,L 2 )=(4,2) are according to Table 27, where single oversampling factors in two dimension are supported. The remaining codebook parameters may be fixed, for example, s 1 =s 2 =2, and p 1 =p 2 =8. 
     
       
         
           
               
             
               
                 TABLE 27 
               
             
            
               
                   
               
               
                 Master rank 3-8 codebook parameters for Q = 8, 12, 16, and 32 antenna 
               
               
                 ports and (L 1 , L 2 ) = (4, 2) 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 Q 
                 N 1   
                 N 2   
                 P 
                 O 1   
                 O 2   
                 L 1   
                 L 2   
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 8 
                 2 
                 2 
                 2 
                 8 
                 8 
                 4 
                 2 
               
               
                   
                 12 
                 3 
                 2 
                 2 
                 8 
                 8 
                 4 
                 2 
               
               
                   
                 12 
                 2 
                 3 
                 2 
                 8 
                 8 
                 4 
                 2 
               
               
                   
                 16 
                 4 
                 2 
                 2 
                 8 
                 8 
                 4 
                 2 
               
               
                   
                 16 
                 2 
                 4 
                 2 
                 8 
                 8 
                 4 
                 2 
               
               
                   
                 32 
                 4 
                 4 
                 2 
                 8 
                 8 
                 4 
                 2 
               
               
                   
                 32 
                 8 
                 2 
                 2 
                 8 
                 8 
                 4 
                 2 
               
               
                   
                   
               
            
           
         
       
     
     In some embodiments, the master codebook parameters are rank-agnostic and hence are the same for all ranks, e.g. 1-8. 
     In some embodiments, the master codebook parameters are rank-specific and hence are different for different ranks, e.g. 1-8. In one example, the rank 1-2 master codebook parameters are specified a first set of values, the rank 3-4 master codebook parameters are specified a second set of values, and the rank 5-8 master codebook parameters are specified a third set of values. An example of rank-specific master codebook parameters is shown in Table 28. 
     
       
         
           
               
             
               
                 TABLE 28 
               
             
            
               
                   
               
               
                 Rank-specific master codebook parameters 
               
            
           
           
               
               
               
            
               
                   
                 (s 1 , s 2 ) 
                 (p 1 , p 2 ) 
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                   
                   
                   
                   
                   
                 Rank 
                 Rank 
                 Rank 
                 Rank 
                 Rank 
                 Rank 
               
               
                 Q 
                 (N 1 , N 2 ) 
                 P 
                 (O 1 , O 2 ) 
                 (L 1 , L 2 ) 
                 1-2 
                 3-4 
                 5-8 
                 1-2 
                 3-4 
                 5-8 
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 8 
                 (2, 2) 
                 2 
                 (8, 8) 
                 (4, 2) 
                 (2, 2) 
                 (8, 4) 
                 (2, 2) 
                 (1, 1) 
                 (2, 2) 
                 (1, 1) 
               
               
                 12 
                 (3, 2) 
               
               
                 16 
                 (4, 2) 
               
               
                 32 
                 (4, 4), (8, 2) 
               
               
                   
               
            
           
         
       
     
     Rank 3-8 Master Beam Group 
       FIG. 24  illustrates the master beam group  2400  of for 12 and 16 ports according to some embodiments of the present disclosure. 
     In some embodiments, the rank 3-8 master codebook consists of W1 orthogonal beam groups as shown in  FIG. 24 . Two orthogonal beam group configurations, depending on the configured (N 1 ,N 2 ) are:
         If N 1 ≧N 2 , then the orthogonal beam group size is (3,2) and (4,2) for 12 and 16 ports, respectively; and   If N 1 &lt;N 2 , then the orthogonal beam group size is (2,3) and (2,4) for 12 and 16 ports, respectively.       

     For 12 ports, two orthogonal beam groups are:
         For N 1 ≧N 2 , the beam group consists of 6 “closest” orthogonal beams in 2D, where 3 orthogonal beams with indices {0, O 1 , 2O 1 } are for the 1st or longer dimension and 2 orthogonal beams with indices {0, O 2 } are for the 2nd or shorter dimension; and   For N 1 &lt;N 2 , the beam group consists of 6 “closest” orthogonal beams in 2D, where 2 orthogonal beams with indices {0, O 1 } are for the 1st or shorter dimension and 3 orthogonal beams with indices {0, O 2 , 2O 2 } are for the 2nd or longer dimension.       

     For 16 ports, two orthogonal beam groups are:
         For N 1 ≧N 2 , the beam group consists of 8 “closest” orthogonal beams in 2D, where 4 orthogonal beams with indices {0, O 1 , 2O 1 , 3O 1 } are for the 1st or longer dimension and 2 orthogonal beams with indices {0, O 2 } are for the 2nd or shorter dimension; and   For N 1 &lt;N 2 , the beam group consists of 8 “closest” orthogonal beams in 2D, where 2 orthogonal beams with indices {0, O 1 } are for the 1st or shorter dimension and 4 orthogonal beams with indices {0, O 2 , 2O 2 , 3O 2 } are for the 2nd or longer dimension.       

     Unless otherwise specified, 16 ports with N 1 ≧N 2  is assumed in the rest of the disclosure. All embodiments in this disclosure, however, are applicable to N 1 &lt;N 2  configuration, and also 12 ports. 
     Rank 3-8 Beam Grouping Schemes from the Master Beam Group 
     In some embodiments, a UE is configured with a beam group consisting of beams which are a subset of beams in the master beam group. In one method, the configuration is via RRC signaling. 
       FIG. 25  illustrates beam group schemes  2500  for rank 3-8 according to some embodiments of the present disclosure. The 1st dim and the 2nd dim in the figure correspond to beams in the first dimension and in the second dimension. The shaded (black) squares represent the beams that form a beam group and are obtained after beam selection and the white squares represent the beams that are not included in the beam group. 
     In  FIG. 25 :
         Beam Group 0 corresponds to a beam group when (L 1 ,L 2 )=(4,1) is configured and the selected beam combination comprises of 4 orthogonal beams located at {(x,0)} where x={0, O 1 , 2O 1 , 3O 1 };   Beam Group 1 corresponds to a beam group when (L 1 ,L 2 )=(2,2)-square pattern is configured and the selected beam combination comprises of 4 orthogonal beams located at {(0,0),(0, O 1 ), (O 1 ,O 2 ), (O 1 ,0)}; and   Beam Group 2 corresponds to a beam group when (L 1 ,L 2 )=(2,2)-checker board pattern is configured and the selected beam combination comprises of 4 orthogonal beams located at {(0,0), (O 1 ,O 2 ), (2O 1 ,0), (3O 1 ,O 2 )}.       

     In some embodiments, a UE is configured with a beam group by means of codebook subset selection (CSS) or codebook subsampling on rank 3-8 i 2 ′ indices, with an assumption that the master codebook has rank 3-8 i 2 ′ indices corresponding to (L 1 , L 2 )=(4,2) as shown in  FIG. 24 . 
     In one method, the CSS configuration is in terms of parameters L 1  and L 2 . 
     In one method, the CSS configuration is explicit for Beam Group 0, Beam Group 1, and Beam Group 2 ( FIG. 25 ). 
     In another method, the CSS configuration is in terms of a bitmap of length 8 (equal to number of beams in master beam group), where the number of 1&#39;s in the bitmap is 4. 
     In another method, the CSS configuration is in terms of a bitmap of length equal to the number of i 2 ′ indices in the master codebook, where the number of 1&#39;s in the bitmap is fixed. 
     In some embodiments, the 1st dim and the 2nd dim in the figure correspond to i 2,1  and i 2,2 . 
     In some embodiments, the shaded (black) squares represent the rank 3-8 i 2  (or i 2,1  and i 2,2 ) indices that form a beam group and are obtained after subset selection and the white squares represent the indices that are not included in the beam group. 
     In some embodiments, Q=2N 1 *N 2 . 
     In some embodiments, the UE reports i 2,1 , i 2,2  and n in place of i 2 , in which case m 1  and m 2  are determined as:
 
 m   1   =s   1   i   1,1   +p   1   i   2,1  and  m   2   =s   2   i   1,2   +p   2   i   2,2 .
 
     In those embodiments, p 1 =O 1  and p 2 =O 2 . So, m 1 =s 1 i 1,1 +O 1 i 2,1  and m 2 =s 2 i 1,2 +O 2 i 2,2 . 
     In those embodiments, 
     
       
         
           
             
               
                 i 
                 
                   1 
                   , 
                   1 
                 
               
               = 
               0 
             
             , 
             1 
             , 
             … 
             , 
             
               
                 
                   
                     
                       N 
                       1 
                     
                     ⁢ 
                     
                       O 
                       1 
                     
                   
                   
                     s 
                     1 
                   
                 
                 - 
                 
                   1 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   and 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     i 
                     
                       1 
                       , 
                       2 
                     
                   
                 
               
               = 
               0 
             
             , 
             1 
             , 
             … 
             , 
             
               
                 
                   
                     N 
                     2 
                   
                   ⁢ 
                   
                     O 
                     2 
                   
                 
                 
                   s 
                   2 
                 
               
               - 
               1. 
             
           
         
       
     
     Rank 3 Codebook 
     In some embodiments, Table 29 is used as a rank-3 (3 layer) master codebook that can be used for any of Q=8, 12, 16, and 32 antenna port configurations, wherein the corresponding rank 3 precoder is either 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 
                   m 
                   2 
                 
                 , 
                 
                   m 
                   2 
                   ′ 
                 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         3 
                         ⁢ 
                         Q 
                       
                     
                   
                   ⁡ 
                   
                     [ 
                     
                       
                         
                           
                             
                               v 
                               
                                 m 
                                 1 
                               
                             
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                                 ′ 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
                 ⁢ 
                 
                     
                 
                 ⁢ 
                 or 
                 ⁢ 
                 
                     
                 
                 ⁢ 
                 
                   W 
                   
                     
                       m 
                       1 
                     
                     , 
                     
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                       1 
                       ′ 
                     
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                       2 
                     
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                       ′ 
                     
                   
                   
                     ( 
                     3 
                     ) 
                   
                 
               
               = 
               
                 
                   
                     1 
                     
                       
                         3 
                         ⁢ 
                         Q 
                       
                     
                   
                   ⁡ 
                   
                     [ 
                     
                       
                         
                           
                             
                               v 
                               
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                                 1 
                               
                             
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                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                         
                           
                             
                               v 
                               
                                 m 
                                 1 
                               
                             
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                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                         
                           
                             
                               v 
                               
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                                 1 
                                 ′ 
                               
                             
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                                 2 
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                               v 
                               
                                 m 
                                 1 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 v 
                                 
                                   m 
                                   1 
                                 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 v 
                                 
                                   m 
                                   1 
                                   ′ 
                                 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
                 . 
               
             
           
         
       
     
     Please see the below Table Section for Table 29. 
     Table 30 shows i 2 ′ indices to orthogonal beam pairs mapping that are considered to derive rank-3 precoders W m     1     ,m     1     ′,m     2     ,m     2     ′   (3)  and {tilde over (W)} m     1     ,m     1     ′,m     2     ,m     2     ′   (3)  in Table 29. 
     
       
         
           
               
             
               
                 TABLE 30 
               
             
            
               
                   
               
               
                 i 2 ′ indices to orthogonal beam pairs mapping (in Table 29) 
               
            
           
           
               
               
            
               
                 i 2 ′ indices 
                 Orthogonal beam pairs 
               
               
                   
               
               
                 0-3 
                 (0, 0), (O 1 , 0) 
               
               
                 4-7 
                 (O 1 , 0), (2O 1 , 0) 
               
               
                  8-11 
                 (2O 1 , 0), (3O 1 , 0) 
               
               
                 12-15 
                 (3O 1 , 0), (0, 0) 
               
               
                 16-19 
                 (0, O2), (O1, O2) 
               
               
                 20-23 
                 (0, 0), (0, O2) 
               
               
                 24-27 
                 (O1, 0), (O1, O2) 
               
               
                 28-31 
                 (0, 0), (O1, O2) 
               
               
                 32-35 
                 (O1, O2), (2O1, 0) 
               
               
                 36-39 
                 (2O1, 0), (3O1, O2) 
               
               
                 40-43 
                 (3O1, O2), (0, 0) 
               
               
                   
               
            
           
         
       
     
     Depending on the configured beam group, a UE selects a subset of i 2 ′ indices in Table 29 in order to derive the codebook for PMI calculation. Table 31 shows selected rank-3 i 2 ′ indices determined dependent upon a selected beam group. Beam group 0, Beam group 1, and Beam group 2 are constructed according to  FIG. 25 . 
     
       
         
           
               
             
               
                 TABLE 31 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-3 CSI reporting (in Table 29) 
               
            
           
           
               
               
               
            
               
                   
                 Beam Group 
                 Selected i 2 ′ indices 
               
               
                   
                   
               
               
                   
                 0 
                  0-15 
               
               
                   
                 1 
                 0-3, 16-27 
               
               
                   
                 2 
                 28-43 
               
               
                   
                   
               
            
           
         
       
     
     Rank 4 Codebook 
     In some embodiments, Table 32 is used as a rank-4 (4 layer) master codebook that can be used for any of Q=8, 12, 16, and 32 antenna port configurations, wherein the corresponding rank 4 precoder is 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 
                   m 
                   2 
                 
                 , 
                 
                   m 
                   2 
                   ′ 
                 
                 , 
                 n 
               
               
                 ( 
                 4 
                 ) 
               
             
             = 
             
               
                 
                   1 
                   
                     
                       4 
                       ⁢ 
                       Q 
                     
                   
                 
                 ⁡ 
                 
                   [ 
                   
                     
                       
                         
                           
                             v 
                             
                               m 
                               1 
                             
                           
                           ⊗ 
                           
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                             v 
                             
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                             n 
                           
                           ⁢ 
                           
                             
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                                 m 
                                 1 
                               
                             
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                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
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                             n 
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                                 ′ 
                               
                             
                             ⊗ 
                             
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                                 m 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                                 ′ 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               . 
             
           
         
       
     
     Please see the below Table Section for Table 32. 
     Table 33 shows i 2 ′ indices to orthogonal beam pairs mapping that are considered to derive rank-4 precoders W m     1     ,m     1     ′,m     2     ,m     2     ′,n   (4)  in Table 32. 
     
       
         
           
               
             
               
                 TABLE 33 
               
             
            
               
                   
               
               
                 i 2 ′ indices to orthogonal beam pairs mapping (in Table 32) 
               
            
           
           
               
               
            
               
                 i 2 ′ indices 
                 Orthogonal beam pairs 
               
               
                   
               
               
                 0-1 
                 (0, 0), (O 1 , 0) 
               
               
                 2-3 
                 (O 1 , 0), (2O 1 , 0) 
               
               
                 4-5 
                 (2O 1 , 0), (3O 1 , 0) 
               
               
                 6-7 
                 (3O 1 , 0), (0, 0) 
               
               
                 8-9 
                 (0, O2), (O1, O2) 
               
               
                 10-11 
                 (0, 0), (0, O2) 
               
               
                 12-13 
                 (O1, 0), (O1, O2) 
               
               
                 14-15 
                 (0, 0), (O1, O2) 
               
               
                 16-17 
                 (O1, O2), (2O1, 0) 
               
               
                 18-19 
                 (2O1, 0), (3O1, O2) 
               
               
                 20-21 
                 (3O1, O2), (0, 0) 
               
               
                   
               
            
           
         
       
     
     Depending on the configured beam group, a UE selects a subset of i 2 ′ indices in Table 32 in order to derive the codebook for PMI calculation. Table 34 shows selected rank-4 i 2 ′ indices determined dependent upon a selected beam group. Beam group 0, Beam group 1, and Beam group 2 are constructed according to  FIG. 25 . 
     
       
         
           
               
             
               
                 TABLE 34 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-4 CSI reporting (in Table 32) 
               
            
           
           
               
               
               
            
               
                   
                 Beam Group 
                 Selected i 2 ′ indices 
               
               
                   
                   
               
               
                   
                 0 
                 0-7 
               
               
                   
                 1 
                 0-1, 8-13 
               
               
                   
                 2 
                 14-21 
               
               
                   
                   
               
            
           
         
       
     
     Rank 5-6 Master Codebook 
     In some embodiments, Table 35 is used as a rank-5 (5 layer) master codebook that can be used for any of Q=8, 12, 16, and 32 antenna port configurations, wherein the corresponding rank 5 precoder is 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 
                   m 
                   1 
                   ″ 
                 
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                   m 
                   2 
                 
                 , 
                 
                   m 
                   2 
                   ′ 
                 
                 , 
                 
                   m 
                   2 
                   ″ 
                 
               
               
                 ( 
                 5 
                 ) 
               
             
             = 
             
               
                 
                   1 
                   
                     
                       5 
                       ⁢ 
                       Q 
                     
                   
                 
                 ⁡ 
                 
                   [ 
                   
                     
                       
                         
                           
                             v 
                             
                               m 
                               1 
                             
                           
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                               m 
                               2 
                               ″ 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               . 
             
           
         
       
     
     Please see the below Table Section for Table 35. 
     In some embodiments, Table 36 is used as a rank-6 (6 layer) master codebook that can be used for any of Q=8, 12, 16, and 32 antenna port configurations, wherein the corresponding rank 6 precoder is 
     
       
         
           
             
               W 
               
                 
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                   ′ 
                 
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                 ( 
                 6 
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             = 
             
               
                 1 
                 
                   
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                     ⁢ 
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               ⁡ 
               
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                             m 
                             2 
                             ′ 
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             v 
                             
                               m 
                               1 
                               ′ 
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ′ 
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             m 
                             1 
                             ″ 
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ″ 
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             v 
                             
                               m 
                               1 
                               ″ 
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ″ 
                           
                         
                       
                     
                   
                 
                 ] 
               
             
           
         
       
     
     Please see the below Table Section for Table 36. 
     Table 37 shows i 2 ′ indices to orthogonal beam triples mapping that are considered to derive rank-5 precoders W m     1     ,m     1     ′,m     1     ″,m     2     ,m     2     ′,m     2     ″   (5)  in Table 35, and rank-6 precoders W m     1     ,m     1     ′,m     1     ″,m     2     ,m     2     ′,m     2     ″   (6)  in Table 36. 
     
       
         
           
               
             
               
                 TABLE 37 
               
             
            
               
                   
               
               
                 i 2 ′ indices to orthogonal beam triples 
               
               
                 mapping for rank 5-6 (in Table 35 and Table 36) 
               
            
           
           
               
               
            
               
                 i 2 ′ indices 
                 Orthogonal beam pairs 
               
               
                   
               
            
           
           
               
               
            
               
                 0 
                 (0, 0), (O 1 , 0), (2O 1 , 0) 
               
               
                 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) 
               
               
                 2 
                 (2O 1 , 0), (3O 1 , 0), (0, 0) 
               
               
                 3 
                 (3O 1 , 0), (0, 0), (2O 1 , 0) 
               
               
                 4 
                 (0, 0), (O1, 0), (O1, O2) 
               
               
                 5 
                 (O1, 0), (O1, O2), (0, O2) 
               
               
                 6 
                 (O1, O2), (0, O2), (0, 0) 
               
               
                 7 
                 (0, O2), (0, 0), (O1, 0) 
               
               
                 8 
                 (0, 0), (O1, O2), (2O1, 0) 
               
               
                 9 
                 (O1, O2), (2O1, 0), (3O1, O2) 
               
               
                 10 
                 (2O1, 0), (3O1, O2), (0, 0) 
               
               
                 11 
                 (3O1, O2), (0, 0), (O1, O2) 
               
               
                   
               
            
           
         
       
     
     Depending on the configured beam group, a UE selects a subset of i 2 ′ indices in Table 35 (rank-5) and Table 36 (rank-6) in order to derive the codebook for PMI calculation. Table 38 shows selected rank-5 and rank-6 i 2 ′ indices determined dependent upon a selected beam group. Beam group 0, Beam group 1, and Beam group 2 are constructed according to  FIG. 25 . 
     Table 38: Selected i 2 ′ indices for rank-5 and rank-6 CSI reporting (in Table 35 and Table 36 
     
       
         
           
               
               
               
             
               
                   
                 TABLE 36 
               
               
                   
                   
               
               
                   
                 Beam Group 
                 Selected i 2 ′ indices 
               
               
                   
                   
               
             
            
               
                   
                 0 
                 0-3 
               
               
                   
                 1 
                 4-7 
               
               
                   
                 2 
                  8-11 
               
               
                   
                   
               
            
           
         
       
     
     Rank 7-8 Master Codebook 
     In some embodiments, Table 39 is used as a rank-7 (7 layer) master codebook that can be used for any of Q=8, 12, 16, and 32 antenna port configurations, wherein the corresponding rank 7 precoder is 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 
                   m 
                   1 
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                   1 
                   ″′ 
                 
                 , 
                 
                   m 
                   2 
                 
                 , 
                 
                   m 
                   2 
                   ′ 
                 
                 , 
                 
                   m 
                   2 
                   ″ 
                 
                 , 
                 
                   m 
                   2 
                   ″′ 
                 
               
               
                 ( 
                 7 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     7 
                     ⁢ 
                     Q 
                   
                 
               
               ⁡ 
               
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                             ″′ 
                           
                         
                       
                     
                   
                   
                     
                       
                         
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                             m 
                             1 
                           
                         
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                           u 
                           
                             m 
                             2 
                           
                         
                       
                     
                     
                       
                         
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                             v 
                             
                               m 
                               1 
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                           
                         
                       
                     
                     
                       
                         
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                             m 
                             1 
                             ′ 
                           
                         
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                           u 
                           
                             m 
                             2 
                             ′ 
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             v 
                             
                               m 
                               1 
                               ′ 
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ′ 
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             m 
                             1 
                             ″ 
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ″ 
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             v 
                             
                               m 
                               1 
                               ″ 
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ″ 
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             m 
                             1 
                             ″′ 
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ″′ 
                           
                         
                       
                     
                   
                 
                 ] 
               
             
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 39 
               
               
                   
               
               
                 Master codebook for 7 layer CSI reporting for (N 1 , 
               
               
                 N 2 ) = (4, 2) and (L 1 , L 2 ) = (4, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 0 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     1     i     1, 1     +2O     1     , s     1     i     1, 1     +3O     1     , s     2     i     1, 2     , s     2     i     1, 2     , s     2     i     1, 2     , s     2     i     1, 2     (7)   
               
               
                   
               
               
                 i 2 ′ 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     1     i     1, 1     +O     1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     +O     2     (7)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     1     i     1, 1     +2O     1     , s     1     i     1, 1     +3O     1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     (7)   
               
               
                   
               
            
           
         
       
     
     In some embodiments, Table 40 is used as a rank-8 (8 layer) master codebook that can be used for any of Q=8, 12, 16, and 32 antenna port configurations, wherein the corresponding rank 8 precoder is 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 
                   m 
                   1 
                   ″ 
                 
                 , 
                 
                   m 
                   1 
                   ″′ 
                 
                 , 
                 
                   m 
                   2 
                 
                 , 
                 
                   m 
                   2 
                   ′ 
                 
                 , 
                 
                   m 
                   2 
                   ″ 
                 
                 , 
                 
                   m 
                   2 
                   ″′ 
                 
               
               
                 ( 
                 8 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     8 
                     ⁢ 
                     Q 
                   
                 
               
               ⁡ 
               
                 [ 
                 
                   
                     
                       
                         
                           v 
                           
                             m 
                             1 
                           
                         
                         ⊗ 
                         
                           u 
                           
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                             2 
                           
                         
                       
                     
                     
                       
                         
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                             1 
                           
                         
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                             2 
                           
                         
                       
                     
                     
                       
                         
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                             ′ 
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
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                             1 
                             ″ 
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ″ 
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             v 
                             
                               m 
                               1 
                               ″ 
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ″ 
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             m 
                             1 
                             ″′ 
                           
                         
                         ⊗ 
                         
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                             m 
                             2 
                             ″′ 
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             v 
                             
                               m 
                               1 
                               ″′ 
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             m 
                             2 
                             ″′ 
                           
                         
                       
                     
                   
                 
                 ] 
               
             
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 40 
               
               
                   
               
               
                 Master codebook for 8 layer CSI reporting for (N 1 , 
               
               
                 N 2 ) = (4, 2) and (L 1 , L 2 ) = (4, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 0 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     1     i     1, 1     +2O     1     , s     1     i     1, 1     +3O     1     , s     2     i     1, 2     , s     2     i     1, 2     , s     2     i     1, 2     , s     2     i     1, 2     (8)   
               
               
                   
               
               
                 i 2 ′ 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     1     i     1, 1     +O     1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     +O     2     (8)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     1     i     1, 1     +2O     1     , s     1     i     1, 1     +3O     1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     (8)   
               
               
                   
               
            
           
         
       
     
     Table 41 shows i 2 ′ indices to orthogonal beam quadruples mapping that are considered to derive rank-7 precoders W m     1     ,m     1     ′,m     1     ″,m     1     ′″,m     2     ,m     2     ′,m     2     ″,m     2     ′″   (7)  in Table 39, and rank-8 precoders W m     1     ,m     1     ′,m     1     ″,m     1     ′″,m     2     ,m     2     ′,m     2     ″,m     2     ′″   (8)  in Table 40. 
     
       
         
           
               
             
               
                 TABLE 41 
               
             
            
               
                   
               
               
                 i 2 ′ indices to orthogonal beam triples 
               
               
                 mapping for rank 7-8 (in Table 39 and Table 40) 
               
            
           
           
               
               
            
               
                 i 2 ′ indices 
                 Orthogonal beam pairs 
               
               
                   
               
               
                 0 
                 (0, 0), (O 1 , 0), (2O 1 , 0), (3O 1 , 0) 
               
               
                 1 
                 (0, 0), (O 1 , 0), (O 1 , O2), (0, O2) 
               
               
                 2 
                 (0, 0), (O 1 , O2), (2O 1 , 0), (3O 1 , O2) 
               
               
                   
               
            
           
         
       
     
     Depending on the configured beam group, a UE selects a subset of i 2 ′ indices in Table 39 (rank-7) and Table 40 (rank-8) in order to derive the codebook for PMI calculation. Table 42 shows selected rank-7 and rank-8 i 2 ′ indices determined dependent upon a selected beam group. Beam group 0, Beam group 1, and Beam group 2 are constructed according to  FIG. 25 . 
     
       
         
           
               
             
               
                 TABLE 42 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-7 and 
               
               
                 rank-8 CSI reporting (in Table 39 and Table 40) 
               
            
           
           
               
               
               
            
               
                   
                 Beam Group 
                 Selected i 2 ′ indices 
               
               
                   
                   
               
               
                   
                 0 
                 0 
               
               
                   
                 1 
                 1 
               
               
                   
                 2 
                 2 
               
               
                   
                   
               
            
           
         
       
     
     Alternate Rank 3-4 Codebook Designs 
       FIG. 26  illustrates example beam grouping schemes  2600  for rank 3-4 according to some embodiments of the present disclosure. 
     In some embodiments, the rank 3-4 master codebook consists of W1 beam groups of (L 1 ,L 2 )=(2,2) beams as shown in  FIG. 26 . The beam group consists of 4 “closest” orthogonal beams in 2D, where 4 orthogonal beams with indices {0, O 1 } are for the 1st or longer dimension and 2 orthogonal beams with indices {0, O 2 } are for the 2nd or shorter dimension. 
     In some embodiments,  FIG. 26  illustrates rank 3-4 beam groups according to some embodiments of the present disclosure. The 1st dim and the 2nd dim in the figure correspond to beams in the first dimension and in the second dimension. The shaded (black) squares represent the beams that form a beam group and are obtained after beam selection and the white squares represent the beams that are not included in the beam group. 
     In the figure, Beam Group 0 corresponds to a beam group when (L 1 ,L 2 )=(1,2) is configured and the selected orthogonal beam pair is vertical (or in 2nd dim) and is located at {(0,x)} where x={0, O 2 }; Beam Group 1 corresponds to a beam group when (L 1 ,L 2 )=(2,1) is configured and the selected orthogonal beam pair is horizontal (in 1st dim) and is located at {(x,0)} where x={0, O 1 }; Beam Group 2 corresponds to a beam group when (L 1 ,L 2 )=(1,1) is configured and the selected orthogonal beam pair is in −45 degree direction and is located at (O 1 ,0) and (0, O 2 ); and Beam Group 3 corresponds to a beam group when (L 1 ,L 2 )=(1,1) is configured and the selected orthogonal beam pair is in +45 degree direction and is located at (0,0) and (O 1 , O 2 ). 
     In some embodiments, Table 43 and Table 44 are used as a rank-3 (3 layers) and rank-4 (4 layers) master codebook that can be used for any of Q=8, 12, 16, and 32 antenna port configurations. 
     Please see the Table Section for Tables 43 and 44. 
     Table 45 shows i 2 ′ indices to orthogonal beam pairs mapping that are considered to derive rank-3 precoders W m     1     ,m     1     ′,m     2     ,m     2     ′   (3)  and {tilde over (W)} m     1     ,m     1     ′,m     2     ,m     2     ′   (3)  in Table 43. Depending on the configured beam group, a UE selects a subset of i 2 ′ indices in Table 45 in order to derive the codebook for PMI calculation. Table also shows selected rank-3 i 2 ′ indices determined dependent upon a selected beam group. Beam group 0, Beam group 1, and Beam group 2 are constructed according to  FIG. 26 . The corresponding mapping for rank-4 pre-coders in Table 44 is also shown in Table 45. 
     
       
         
           
               
             
               
                 TABLE 45 
               
             
            
               
                   
               
               
                 i′ 2  indices to orthogonal beam pairs mapping (in Table 43) 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 Rank-3 
                 Rank-3 
                 Rank-4 
                 Rank-4 
                   
               
               
                   
                 i 2 ′ 
                 i 2 ′ 
                 i 2 ′ 
                 i 2 ′ 
                 Orthogonal 
               
               
                 Beam Group 
                 indices 
                 indices 
                 indices 
                 indices 
                 beam pairs 
               
               
                   
               
               
                 0 
                 0-3 
                 4 (2 bits) 
                 0-1 
                 2 (1 bit) 
                 (0, 0), (0, O 2 ) 
               
               
                 1 
                 4-7 
                   
                 2-3 
                   
                 (0, 0), (O 1 , 0) 
               
               
                 2 
                  8-11 
                   
                 4-5 
                   
                 (0, O 2 ), (O 1 , 0) 
               
               
                 3 
                 12-15 
                   
                 6-7 
                   
                 (0, 0), (O 1 , O 2 ) 
               
               
                   
               
            
           
         
       
     
     In some embodiments, a beam group is configured with a beam group which is a subset of the four beam group set S={Beam Group 0, Beam Group 1, Beam Group 2, and Beam Group 3}, where beam groups are according to  FIG. 26 . Depending on the configured subset of S, the UE derives rank 3-4 i 2 ′ indices from Table 45. 
     In one example, the configured beam group is a singleton subset of S, for example S0=(Beam Group 1). 
     In one example, the configured beam group is a non-singleton, strict subset of S, for example S1={Beam Group 0, Beam Group 1}, and S2={Beam Group 1, Beam Group 3}. 
     In one example, the configured beam group is the full set S3=S. 
     For these example sets S0-S3, the selected rank 3-4 i 2 ′ indices and their mapping to i 2  indices and the corresponding number of feedback bits are tabulated in Table 46. Note that this table is for illustration only. Similar table can be constructed for other beam groups according to some embodiments of this disclosure. 
     
       
         
           
               
             
               
                 TABLE 46 
               
             
            
               
                   
               
               
                 i′ 2  indices to i 2  indices mapping for example beam groups 
               
            
           
           
               
               
               
               
               
            
               
                   
                 Rank-3 
                 Rank-3i 2   
                 Rank-4 
                 Rank-4i 2   
               
               
                 Configured 
                 i 2 ′ 
                 indices 
                 i 2 ′ 
                 indices 
               
               
                 beam group 
                 indices 
                 (number of bits) 
                 indices 
                 (number of bits) 
               
               
                   
               
               
                 S0 
                 4-7 
                 0-3 (2 bits) 
                 2-3 
                 0-1 (1 bit)  
               
               
                 S1 
                 0-7 
                 0-7 (3 bits) 
                 0-3 
                 0-3 (2 bits) 
               
               
                 S2 
                 4-7, 12-15 
                 0-7 (3 bits) 
                 2-3, 6-7 
                 0-3 (2 bits) 
               
               
                 S3 
                  0-15 
                 0-7 (4 bits) 
                 0-7 
                 0-7 (3 bits) 
               
               
                   
               
            
           
         
       
     
       FIG. 27  illustrates example beam grouping schemes  2700  for rank 3-4 according to some embodiments of the present disclosure. 
     In some embodiments, the rank 3-4 master codebook consists of W1 beam groups of (L 1 ,L 2 )=(8,2) beams as shown in  FIG. 27 , where it is assumed that O 1  belongs to {4,8,16, . . . }. The beam group consists of 4 quadruple of orthogonal beams, which are shown as black and three pattern squares, where each quadruple comprises of 4 “closest” orthogonal beams in 2D. For example, the quadruple shown in black comprises of 4 orthogonal beams {0,4,8,12}. Note that beams are numbered according to the numbering scheme shown to the right-hand-side of the (8,2) grid in the figure. The same numbering scheme will be used in the embodiments below. The 4 orthogonal beams for the other three quadruples shown as three patterns can be determined similarly. 
     In some embodiments,  FIG. 27  illustrates rank 3-4 beam groups according to some embodiments of the present disclosure. The 1st dim and the 2nd dim in the figure correspond to beams in the first dimension and in the second dimension. The black and three pattern squares represent the beams that form a beam group and are obtained after beam selection and the white squares represent the beams that are not included in the beam group. 
     In the  FIG. 27 :
         Beam Group 0 corresponds to a beam group when (L 1 ,L 2 )=(8,1) is configured and the selected orthogonal beam pairs are along horizontal (or 1st dim) and are located at {(0,4),(1,5),(2,6),(3,7)};   Beam Group 1 corresponds to a beam group when (L 1 ,L 2 )=(4,2) is configured and the selected orthogonal beam pairs are located at {(0,4),(1,5)} in the first row and at {(2,6),(3,7)} in the second row;   Beam Group 2 corresponds to a beam group when (L 1 ,L 2 )=(4,2) is configured and the selected orthogonal beam pairs are located at {(0,4),(1,5)} in the first row, (0,8) in the first column, and (0,9) along the +45 direction;   Beam Group 3 corresponds to a beam group when (L 1 ,L 2 )=(2,2) is configured and the selected orthogonal beam pairs are located at {(0,8),(1,9)} in the first and the second columns, (0,9) along the +45 direction, and (1,8) along the −45 direction; and   Beam Group 4 corresponds to a beam group when (L 1 ,L 2 )=(2,2)-checker pattern is configured and the selected orthogonal beam pairs are located at {(0,9),(9,2),(2,11,(11,0)} which form a checker pattern.       

     In some embodiments, similar to Table 43 and Table 44, rank-3 (3 layers) and rank-4 (4 layers) master codebooks can be constructed by considering union of all orthogonal beam pairs according to Beam Group 0-Beam Group 4 in  FIG. 27 , that can be used for any of Q=8, 12, 16, and 32 antenna port configurations. 
     In some embodiments, a UE is configured with at least one beam group out of Beam Group 0-Beam Group 4 in  FIG. 27  according to some embodiments of this disclosure. Depending on the configured beam group, the UE either selects the beams from (8,2) beam grid in  FIG. 27  or i 2 ′ indices from the associated rank 3-4 codebook tables, and maps them sequentially to i 2  indices 0−A, according to some embodiments of this disclosure, where A+1 is the number of selected i 2 ′ indices. 
       FIG. 28  illustrates beam grouping schemes  2800  for rank 3-4 according to some embodiments of the present disclosure. 
     In some embodiments, the rank 3-4 master codebook consists of W1 beam groups of (L 1 ,L 2 )=(4,2) beams as shown in  FIG. 28 , where it is assumed that O 1  belongs to {2,4,8,16, . . . }. The beam group consists of 2 quadruple of orthogonal beams, which are shown as black and dotted pattern squares, where each quadruple comprises of 4 “closest” orthogonal beams in 2D. For example, the quadruple shown in black comprises of 4 orthogonal beams {0,2,4,6}. Note that beams are numbered according to the numbering scheme shown to the right-hand-side of the (4,2) grid in the figure. The same numbering scheme will be used in the embodiments below. The 4 orthogonal beams for the other quadruple shown as dotted patterns is {1,3,5,7}. 
       FIG. 28  illustrates rank 3-4 beam groups according to some embodiments of the current invention, the illustrations of different beam groups is similar to those in  FIG. 27 . 
     In some embodiments, similar to Table 43 and Table 44, rank-3 (3 layers) and rank-4 (4 layers) master codebooks can be constructed by considering union of all orthogonal beam pairs according to Beam Group 0-Beam Group 4 in  FIG. 28 , that can be used for any of Q=8, 12, 16, and 32 antenna port configurations. 
     In some embodiments, a UE is configured with at least one beam group out of Beam Group 0-Beam Group 4 in  FIG. 28  according to some embodiments of this disclosure. Depending on the configured beam group, the UE either selects the beams from (4,2) beam grid in  FIG. 28  or i 2 ′ indices from the associated rank 3-4 codebook tables, and maps them sequentially to i 2  indices 0−A, according to some embodiments of this disclosure, where A+1 is the number of selected i 2 ′ indices. 
     Rank 3-4 Codebook Based on Orthogonal Pair Type 
       FIG. 29  illustrates example rank 3-4 orthogonal beam pairs  2900  for 2 antenna ports in shorter dimension according to some embodiments of the present disclosure. 
     In some embodiments, starting from the master leading beam group of size (L 1 ,L 2 )=(4,2) for N 1 ≧N 2  and (2,4) for N 1 &lt;N 2 , the rank-3 and rank-4 orthogonal beam pairs are constructed based upon the orthogonal pair type. An illustration of example orthogonal pair types, for 2 antenna ports in the shorter dimension, is shown in  FIG. 29 . The top of the figure shows the master beam group which comprises of the leading beams {b 0 } of the group of orthogonal beam pairs {(b 0 ,b 1 )}, where
 
 b   0   εB   0   A ≡{( x,y ): xε{ 0, p   1 ,2 p   1 ,3 p   1 } and  yε{ 0, p   2 }} for  N   1   ≧N   2 , and
 
 b   0   εB   0   B ≡{( x,y ): x ε{0, p   1 } and  yε{ 0, p   2 ,2 p   2 ,3 p   2 }} for  N   1   &lt;N   2 .
 
     The orthogonal beams {b 1 } of the orthogonal pairs are determined dependent upon the orthogonal pair type. 
     Two example orthogonal beam types are:
         Orthogonal beam type 0: This pair is constructed by considering beams that are orthogonal to the leading beams in the longer dimension only. According to this construction, the orthogonal beams are
 
 b   1   εB   1   A ≡{( O   1   +x,y ):( x,y )ε B   0   A } for  N   1   ≧N   2 , and
 
 b   1   εB   1   B ≡{( x,O   2   +y ):( x,y )ε B   0   B } for  N   1   &lt;N   2 ; and
   Orthogonal beam type 1: This pair is constructed by considering beams that are orthogonal to the leading beams in both longer and shorter dimensions. According to this construction, the orthogonal beams are
 
 b   1   εB   1   (A) ≡{( O   1   +x,O   2   +y ):( x,y )ε B   0   A } for  N   1   ≧N   2 , and
 
 b   1   εB   1   (B) ≡{( O   1   +x,O   2   +y ):( x,y )ε B   0   B } for  N   1   &lt;N   2 .
       

     In general, for N 1 ≧N 2 ,
 
Orthogonal beam type 0: b   1   εB   1   (A) ≡{( n   1   O   1   +x,y ):( x,y )ε B   0   A }; and
 
Orthogonal beam type 1: b   1   εB   1   (A) ≡{( n   1   O   1   +x,n   2   O   2   +y ):( x,y )ε B   0   A }.
 
     Here, n 1 ε{1, . . . , N 1 −1} and n 2 ε{1, . . . , N 2 −1}. For N 1 &lt;N 2 , the general orthogonal beam types can be defined similarly. 
     In one method, n 1 , n 2  are fixed in the specification. In another method, n 1 , n 2  is either configured by higher-layer signaling (RRC) or reported by the UE. 
     In some embodiments, separate rank 3-4 codebooks are constructed for each of the orthogonal beam pair types. For example, for Orthogonal pairs 0 and Orthogonal pair 1 in  FIG. 29 , two separate rank 3-4 tables are constructed similar to some embodiments of this disclosure. 
     In some embodiments, a single rank 3-4 codebooks are constructed for each of the orthogonal beam pair types. For example, for Orthogonal pairs 0 and Orthogonal pair 1 in  FIG. 29 , a single rank 3-4 tables is constructed. 
     For N 1 ≧N 2 , Table 48 and Table 49 show the example of single master rank 3-4 codebook tables that can be used for any of Q=8, 12, 16, and 32 antenna port configurations, wherein δ 1 , δ 2  are according to Table 47. For N 1 &lt;N 2 , the codebook tables can be constructed similarly. 
     In one method, s 1 =O 1 , and s 2 =O 2 . In this case i 1,2 =0 and i 1,2 =1 result in the same precoding matrix.
         If (N 1 , N 2 )=(4,2), then i 1,1 ε{0, 1, . . . , N 1 −1} and i 1,2 =0. In this case i 1,2  is not reported by the UE. Then, the number of bits for indicating (i 1,1 , i 1,2 ) pair is correspondingly determined with counting only the i 1,1  component.   If (N 1 , N 2 )=(3,2), then i 1,1 γ{0, 1, . . . , N 1 −1} and i 1,2 =0; and hence i 1,2  is not reported by the UE. Then, the number of bits for indicating (i 1,1 , i 1,2 ) pair is correspondingly determined, with counting only the i 1,1  component.       

     In one method, s 1 =O 1 , and s 2 =O 2 /2. In this case i 1,2 =0 and i 1,2 =1 result in the difference precoding matrices.
         If (N 1 , N 2 )=(4,2), then i 1,1 ε{0,1,2,3} and i 1,2 ε{0,1}. Then, the number of bits for indicating (i 1,1 ,i 1,2 ) pair is (2+1=3) bits.   If (N 1 , N 2 )=(3,2), then i 1,1 ε{0,1,2} and i 1,2 ε{0,1}. Then, the number of bits for indicating (i 1,1 , i 1,2 ) pair is (2+1=3) bits.       

     
       
         
           
               
             
               
                 TABLE 47 
               
             
            
               
                   
               
               
                 Orthogonal beam type to (δ 1 , δ 2 ) mapping 
               
            
           
           
               
               
               
               
               
            
               
                   
                 Type 
                 Configuration 
                 δ 1   
                 δ 2   
               
               
                   
                   
               
               
                   
                 Orthogonal beam type 0 
                 N 1  ≧ N 2   
                 O 1   
                 0 
               
               
                   
                   
                 N 1  &lt; N 2   
                 0 
                 O 2   
               
               
                   
                 Orthogonal beam type 1 
                 Both 
                 O 1   
                 O 2   
               
               
                   
                   
               
            
           
         
       
     
     Please see the Table Section for Tables 48 and 49. 
     In some embodiments, the rank 3-4 orthogonal beam pair type is pre-determined, for example Orthogonal beam type 0. 
     In some embodiments, a UE is configured with a rank 3-4 orthogonal pair type e.g., selected from Orthogonal beam type 0 and Orthogonal beam type 1, by the eNB via RRC. 
     In some embodiments, a UE reports a rank 3-4 orthogonal pair type selected from Orthogonal beam type 0 and Orthogonal beam type 1, to the eNB. 
     In one method, this indication is SB and short-term. In this case, the UE reports orthogonal pair type per subband, and i 2  can indicate this information as well as other information such as beam selection and co-phase. 
     In another method, it is WB and long-term. In this case the UE reports one orthogonal pair type for whole set S subbands in case of PUSCH reporting. In case of PUCCH reporting, this information is reported together with i 1  (i 11  and i 12 ). 
       FIG. 30  illustrates beam grouping schemes  3000  for rank 3-4: N 1 ≧N 2  case according to some embodiments of the present disclosure. 
     In some embodiments, for N 1 ≧N 2 ,  FIG. 30  illustrates rank 3-4 beam groups BG0, BG1, and BG2. For N 1 &lt;N 2 , the beam groups are obtained by 90 degree rotation of those in  FIG. 30 . The shaded (gray) and pattern squares represent the beams that form a beam group and are obtained after beam selection and the white squares represent the beams that are not included in the beam group. 
     In  FIG. 30 :
         Beam Group 0 corresponds to a beam group when (L 1 ,L 2 )=(4,1) is configured and the selected beams are in the 1st dimension only;   Beam Group 1 corresponds to a beam group when (L 1 ,L 2 )=(2,2)-square is configured and the selected beams form a square; and   Beam Group 2 corresponds to a beam group when (L 1 ,L 2 )=(2,2)-checker board is configured and the selected beams form a checker board.       

     In some embodiments, a UE is configured with a beam group from BG0, BG1, and BG2 according to some embodiments of the present disclosure. Depending on the configured BG, UE constructs the rank 3-4 codebook for the PMI calculation. 
     Depending on the configured beam group, a UE selects a subset of i 2 ′ indices in Table 48 and Table 49 in order to derive the rank 3 &amp; 4 codebook for PMI calculation. In one method, the UE sequentially maps the selected i 2 ′ indices to 0−A to obtain the corresponding i 2  indices, where A+1 is the number of selected i 2 ′ indices. 
     Table 280 and Table 281 respectively show selected rank-3 &amp; 4 i 2 ′ indices determined dependent upon a selected beam group. Beam group 0, Beam group 1, and Beam group 2 are constructed according to  FIG. 30 . 
     
       
         
           
               
             
               
                 TABLE 50 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-3 CSI reporting (in Table 2848) 
               
            
           
           
               
               
               
            
               
                   
                 Beam Group 
                 Selected i 2 ′ indices 
               
               
                   
                   
               
               
                   
                 0 
                 0-15 
               
               
                   
                 1 
                 0-7, 16-23 
               
               
                   
                 2 
                 0-3, 8-11, 20-23, 28-31 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 51 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-4 CSI reporting (in Table 2847) 
               
            
           
           
               
               
               
            
               
                   
                 Beam Group 
                 Selected i 2 ′ indices 
               
               
                   
                   
               
               
                   
                 0 
                 0-7 
               
               
                   
                 1 
                 0-3, 8-11 
               
               
                   
                 2 
                 0-1, 4-5, 10-11, 14-15 
               
               
                   
                   
               
            
           
         
       
     
     In one method, a UE is configured with a beam group type indicator and an orthogonal beam type indicator by higher layer. 
     In another method, a UE is configured with a beam group type indicator by higher layer, and configured to report an orthogonal beam type indicator together with either i 1  or i 2 . 
       FIG. 31  illustrates Rank 3-4 orthogonal beam pairs  3100  for N 2 ≧4 antenna ports in shorter dimension according to some embodiments of the present disclosure. 
     In some embodiments, for N 2 ≧4 antenna ports in the shorter dimension, as shown in  FIG. 31 , three orthogonal pair types are considered for rank 3-4 orthogonal beam pair construction, where Orthogonal pair 0 and 1 are the same as explained above. Orthogonal pair 2 is constructed by considering beams that are orthogonal to the leading beams in both longer and shorter dimensions, and that are going shown as shown in the figure. According to this construction, the orthogonal beams are:
 
 b   1 ε{( O   1   +x ,( N   2 −1) O   2   +y ): xε{ 0, p   1 ,2 p   1 ,3 p   1 } and  yε{ 0, p   2 }}.
 
     The rank 3-4 codebook tables in this case can be constructed according to some embodiments of this disclosure. 
     Rank 5-8 Codebook Based on Orthogonal Pair Type: 16 Ports 
       FIG. 32  illustrates rank 5-8 orthogonal beam combinations  3200  for (N 1 ,N 2 )=(4,2) according to some embodiments of the present disclosure. 
     In some embodiments, for (N 1 ,N 2 )=(4,2), starting from the 8 orthogonal beams, as illustrated in  FIG. 32 , orthogonal beam combinations for rank 5-8 precoding matrices are constructed based upon the orthogonal beam types. An illustration of example orthogonal beam types is also shown in  FIG. 32 . The top of the figure shows the 8 orthogonal beams which comprises of the orthogonal beams (b 0 ,b 1 ), where (b 0 ,b 1 )ε{(x, y): xε{0, O 1 ,2O 1 ,3O 1 } and y ε{0, O 2 }}. 
     Three orthogonal beam types that is likely to show up in practice according to the propagation channel characteristics are:
         Orthogonal beam type 0: This pair is constructed by considering 4 beams that are orthogonal in the first (longer) dimension only. According to this construction, the orthogonal beams are (b 0 ,b 1 )ε{(x,0):xε{0, O 1 , 2O 1 , 3O 1 }};   Orthogonal beam type 1: This pair is constructed by considering 4 beams that are orthogonal in both first (longer) and second (shorter) dimensions and that form a checker pattern. According to this construction, the orthogonal beams are (b 0 ,b 1 )ε{(0,0), (0, O 2 ), (O 1 ,0), (O 1 , O 2 )}; and   Orthogonal beam type 2: This pair is constructed by considering 4 beams that are orthogonal in both first (longer) and second (shorter) dimensions and that form a square. According to this construction, the orthogonal beams are (b 0 ,b 1 )ε{(x, y): xε{0, O 1 } and yε{0, O 2 }}.       

     For (N 1 ,N 2 )=(2,4) configuration, the orthogonal beam type construction is similar (90 degree rotation of orthogonal beam types in  FIG. 32 ). 
     In some embodiments, the rank 5-8 orthogonal beam type is pre-determined, for example Orthogonal beam type 0. 
     In some embodiments, a UE is configured with a rank 5-8 orthogonal beam type by the eNB via RRC. 
     In some embodiments, a UE reports a rank 5-8 orthogonal beam type to the eNB. 
     In one method, the candidate orthogonal beam type comprises only types 0 and 1. 
     In one method, this indication is SB and short-term. In this case, the UE reports orthogonal beam type per subband, and i 2  can indicate this information as well as other information such as beam selection and co-phase. 
     In another method, it is WB and long-term. In this case the UE reports one orthogonal beam type for whole (set S) subbands in case of PUSCH reporting. In case of PUCCH reporting, this information is reported together with i 1  (i 11  and i 12 ). 
     
       
         
           
               
             
               
                 TABLE 52 
               
             
            
               
                   
               
               
                 Orthogonal beam type to (δ) mapping: 16 ports 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Type 
                 Configuration 
                 δ 1,1   
                 δ 2,1   
                 δ 1,2   
                 δ 2,2   
                 δ 1,3   
                 δ 2,3   
               
               
                   
               
               
                 Orthogonal 
                 N 1  ≧ N 2   
                 O 1   
                 0 
                 2O 1   
                 0 
                 3O 1   
                 0 
               
               
                 beam type 0 
                 N 1  &lt; N 2   
                 0 
                 O 2   
                 0 
                 2O 2   
                 0 
                 3O 2   
               
               
                 Orthogonal 
                 N 1  ≧ N 2   
                 O 1   
                 O 2   
                 2O 1   
                 0 
                 3O 1   
                 O 2   
               
               
                 beam type 1 
                 N 1  &lt; N 2   
                 O 1   
                 O 2   
                 0 
                 2O 2   
                 0 
                 3O 2   
               
               
                 Orthogonal 
                 Both 
                 O 1   
                 0 
                 O 1   
                 O 2   
                 0 
                 O 2   
               
               
                 beam type 2 
               
               
                   
               
            
           
         
       
     
     In one method, s 1 =2, and s 2 =2.
         i 1,1 ε{0, . . . , O 1 /2−1} and i 1,2 ε{0, . . . , O 2 /2−1}. Then, the number of bits for indicating (i 1,1 , i 1,2 ) pair is corresponding correspondingly determined. This is valid for both cases of (N 1 , N 2 )=(4,2) and (3,2).       

     In some embodiments, δ 1 , δ 2  for rank 3-4 and δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  for rank 5-8 are respectively configured with two separate orthogonal beam type configurations according to Table 47 and Table 52. 
     In some embodiments, δ 1 , δ 2  for rank 3-4 and δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  for rank 5-8 are configured with a common orthogonal beam type configuration according to Table 47 and Table 52. For example, if orthogonal beam type 0 is configured, type 0 is configured for rank 3-8 and the delta values are selected as in the following: 
     
       
         
           
               
               
               
               
             
               
                   
                   
               
             
            
               
                   
                   
                 δ 1   
                 δ 2   
               
               
                   
                   
               
               
                   
                 Orthogonal beam 
                 O 1   
                 0 
               
               
                   
                 type 0 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 δ 1,1   
                 δ 2,1   
                 δ 1,2   
                 δ 2,2   
                 δ 1,3   
                 δ 2,3   
               
               
                   
               
               
                 Orthogonal beam 
                 O 1   
                 0 
                 2O 1   
                 0 
                 3O 1   
                 0 
               
               
                 type 0 
               
               
                   
               
            
           
         
       
     
     In some embodiments, δ 1 , δ 2  for rank 3-4 and δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  for rank 5-8 are configured according to Table 53, wherein δ 1 , δ 2  for rank 3-4 is mapped to δ 1,1 , δ 2,1  in the table. 
     
       
         
           
               
             
               
                 TABLE 53 
               
             
            
               
                   
               
               
                 Alternate delta table for rank 3-8 codebook 
               
            
           
           
               
               
               
            
               
                   
                 k 
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 δ 
                 0 
                 1 
                 2 
                 3 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                   
                 If N 2  = 1 
                 δ 1, k   
                 0 
                 O 1   
                 2O 1   
                 3O 1   
               
               
                   
                   
                 δ 2, k   
                 0 
                 0 
                 0 
                 0 
               
               
                   
                 If N 1  &gt; 1 and N 2  &gt; 1 
                 δ 1, k   
                 0 
                 O 1   
                 0 
                 O 1   
               
               
                   
                   
                 δ 2, k   
                 0 
                 0 
                 O 2   
                 O 2   
               
               
                   
                 If N 1  = 1 
                 δ 1, k   
                 0 
                 0 
                 0 
                 0 
               
               
                   
                   
                 δ 2, k   
                 0 
                 O 2   
                 2O 2   
                 3O 2   
               
               
                   
                   
               
            
           
         
       
     
     Rank 5-8 Codebook Based on Orthogonal Pair Type: 12 Ports 
       FIG. 33  illustrates rank 5-8 orthogonal beam combinations  3300  for (N 1 ,N 2 )=(3,2) according to some embodiments of the present disclosure. 
     In some embodiments, for (N 1 ,N 2 )=(3,2), starting from the 6 orthogonal beams, as illustrated in  FIG. 33 , orthogonal beam combinations for rank 5-8 precoding matrices are constructed based upon the orthogonal beam types. An illustration of example orthogonal beam types is also shown in  FIG. 33 . The top of the figure shows the 6 orthogonal beams which comprises of the orthogonal beams (b 0 ,b 1 ), where (b 0 , b 1 )ε{(x, y): xε{0, O 1 , 2O 1 } and yε{0, O 2 }}. 
     Three orthogonal beam types that is likely to show up in practice according to the propagation channel characteristics are:
         Orthogonal beam type 0: This pair is constructed by considering 3 beams that are orthogonal in the longer dimension and 1 beam in the shorter dimension. According to this construction, the orthogonal beams are (b 0 , b 1 )ε{(x,0): xε{0, O 1 , 2O 1 }}∪{(0, O 2 )};   Orthogonal beam type 1: This pair is constructed by considering 3 beams that are orthogonal in the longer dimension and 1 beam in the shorter dimension. According to this construction, the orthogonal beams are (b 0 , b 1 )ε{(x,0): xε{0, O 1 , 2O 1 }}∪{(O 1 , O 2 )}; and   Orthogonal beam type 2: This pair is constructed by considering 4 beams that are orthogonal in both first (longer) and second (shorter) dimensions and that form a square. According to this construction, the orthogonal beams are (b 0 ,b 1 )ε{(x, y): xε{0,O 1 } and yε{0, O 2 }}.       

     In some embodiments, similar to 16 ports case, a UE is configured with one orthogonal beam type in  FIG. 33  according to some embodiments of this disclosure. 
     In some embodiments, similar to 16 ports case, a UE reports one orthogonal beam type in  FIG. 33  according to some embodiments of this disclosure. 
     For rank 5, 6, 7, 8, the precoding matrices are determined according to the configured orthogonal beam type as in Table 54. 
     
       
         
           
               
             
               
                 TABLE 54 
               
             
            
               
                   
               
               
                 Orthogonal beam type to (δ) mapping: 12 ports 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Type 
                 Configuration 
                 δ 1,1   
                 δ 2,1   
                 δ 1,2   
                 δ 2,2   
                 δ 1,3   
                 δ 2,3   
               
               
                   
               
               
                 Orthogonal 
                 N 1  ≧ N 2   
                 O 1   
                 0 
                 2O 1   
                 0 
                 0 
                 O 2   
               
               
                 beam type 0 
                 N 1  &lt; N 2   
                 0 
                 O 2   
                 0 
                 2O 2   
                 O 1   
                 0 
               
               
                 Orthogonal 
                 N 1  ≧ N 2   
                 O 1   
                 0 
                 2O 1   
                 0 
                 O 1   
                 O 2   
               
               
                 beam type 1 
                 N 1  &lt; N 2   
                 0 
                 O 2   
                 0 
                 2O 2   
                 O 1   
                 O 2   
               
               
                 Orthogonal 
                 Both 
                 O 1   
                 0 
                 O 1   
                 O 2   
                 0 
                 O 2   
               
               
                 beam type 2 
               
               
                   
               
            
           
         
       
     
     Alternate Rank 3-4 Codebook Designs on Orthogonal Pair Type 
       FIG. 34  illustrates an illustration of beam grouping schemes  3400  for rank 3-4 according to some embodiments of the present disclosure. 
     
       
         
           
               
             
               
                 TABLE 55 
               
             
            
               
                   
               
               
                 Orthogonal beam type to (δ) mapping for rank 3-4 codebook 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 Orthogonal 
                   
                   
                   
                   
               
               
                   
                 beam type 
               
               
                 Type 
                 (k) 
                 δ 1, 0   (k)   
                 δ 2, 0   (k)   
                 δ 1, 1   (k)   
                 δ 2, 1   (k)   
               
               
                   
               
               
                 Option 0 
                 0 
                 0 
                 0 
                 0 
                 O 1   
               
               
                   
                 1 
                 0 
                 O 1   
                 O 1   
                 O 2   
               
               
                   
                 2 
                 O 1   
                 O 2   
                 0 
                 O 2   
               
               
                   
                 3 
                 0 
                 O 2   
                 0 
                 0 
               
               
                 Option 1 
                 0 
                 0 
                 0 
                 0 
                 O 1   
               
               
                   
                 1 
                 0 
                 0 
                 O 1   
                 O 2   
               
               
                   
                 2 
                 O 1   
                 O 2   
                 0 
                 O 2   
               
               
                   
                 3 
                 0 
                 O 2   
                 0 
                 0 
               
               
                 Option 2 
                 0 
                 0 
                 0 
                 0 
                 O 1   
               
               
                   
                 1 
                 0 
                 0 
                 O 1   
                 O 2   
               
               
                   
                 2 
                 O 1   
                 O 2   
                 0 
                 O 2   
               
               
                   
                 3 
                 0 
                 O 2   
                 0 
                 O 1   
               
               
                   
               
            
           
         
       
     
       FIG. 34  illustrates the rank 3-4 master codebook  3400  comprising W1 beam groups according to some embodiments of the present disclosure. The beam group consists of 4 “closest” orthogonal beams in 2D, where 4 orthogonal beams with indices {0, O 1 } are for the 1st dimension and 2 orthogonal beams with indices {0, O 2 } are for the 2nd dimension. 
     Starting from these 4 orthogonal beams, 4 orthogonal beam pair types are constructed that are included in the rank 3-4 master codebook. 
     There are multiple options to construct 4 orthogonal pairs. Out of which, three important options, Option 0, Option 1, and Option 2 are shown in  FIG. 34 .
         Option 0: In this option, 4 orthogonal beam pairs correspond to 2 horizontal pairs (Orthogonal beam type 0, Orthogonal beam type 2) and 2 vertical pairs (Orthogonal beam type 1, Orthogonal beam type 3).   Option 1: In this option, 4 orthogonal beam pairs correspond to 2 horizontal pairs (Orthogonal beam type 0, Orthogonal beam type 2), 1 vertical pair (Orthogonal beam type 3), and 1 diagonal up pair (Orthogonal beam type 1).   Option 2: In this option, 4 orthogonal beam pairs correspond to 1 horizontal pair (Orthogonal beam type 0), 1 vertical pair (Orthogonal beam type 3), 1 diagonal up pair (Orthogonal beam type 1), and 1 diagonal down pair (Orthogonal beam type 2).       

     The rank-3 and rank-4 codebooks according to this orthogonal beam pair construction is shown in Table 56 and Table 57, respectively, where Table 55 is used for δ 1,0   (k) , δ 2,0   (k) , δ 1,1   (k) , and δ 2,1   (k)  values for each of the considered codebook option, where the superscript k=0, 1, 2, and 3 are used for Orthogonal beam type 0, Orthogonal beam type 1, Orthogonal beam type 2, and Orthogonal beam type 3, respectively. Note that the codebooks can be used for any of Q=8, 12, 16, and 32 antenna port configurations with at least 2 ports in the shorter dimension. 
     Please see the below Table Section for Table 56 and 57. 
     In some embodiments, a UE is configured with one of Option 0, Option 1, and Option 2 for rank 3-4 codebooks. 
     In some embodiments, the rank 3-4 codebook option is pre-determined, for example Option 1. 
     In some embodiments, a UE is configured with one orthogonal beam type from Orthogonal beam type 0, Orthogonal beam type 1, Orthogonal beam type 2, and Orthogonal beam type 3 in  FIG. 34  according to some embodiments of this disclosure. 
     In some embodiments, a UE reports one orthogonal beam type from Orthogonal beam type 0, Orthogonal beam type 1, Orthogonal beam type 2, and Orthogonal beam type 3 in  FIG. 34  according to some embodiments of this disclosure. 
     Embodiments on rank 3-4 codebooks with 2, 3, or 4 orthogonal beam types (without SB beam selection) 
       FIG. 35  illustrates beam grouping schemes  3500  for rank 3-4 according to embodiments of the present disclosure. 
     
       
         
           
               
             
               
                 TABLE 58 
               
             
            
               
                   
               
               
                 Number of orthogonal beam type to 
               
               
                 (δ) mapping for rank 3-4 codebook 
               
            
           
           
               
               
               
               
               
               
            
               
                 Number of 
                 Orthogonal 
                   
                   
                   
                   
               
               
                 orthogonal beam 
                 beam type 
               
               
                 types (K) 
                 (k) 
                 δ 1, 0   (k)   
                 δ 2, 0   (k)   
                 δ 1, 1   (k)   
                 δ 2, 1   (k)   
               
               
                   
               
               
                 2, 3, 4 
                 0 
                 0 
                 0 
                 O 1   
                 0 
               
               
                   
                 1 
                 0 
                 0 
                 O 1   
                 O 2   
               
               
                 3, 4 
                 2 
                 0 
                 0 
                 0 
                 O 2   
               
               
                 4 
                 3 
                 0 
                 O 2   
                 O 1   
                 O 2   
               
               
                   
               
            
           
         
       
     
     In some embodiments, as shown in  FIG. 35 , the rank 3-4 master beam group consists of 4 “closest” orthogonal beams in 2D, where 4 orthogonal beams with indices {0, O 1 } are for the 1st dimension and 2 orthogonal beams with indices {0, O 2 } are for the 2nd dimension, and 2, 3, or 4 orthogonal beam types are considered to construct the rank 3-4 codebooks. The 4 orthogonal beam types are as follows:
         Orthogonal beam type 0 corresponds to the orthogonal beam pair {(0,0),(O 1 ,0)}.   Orthogonal beam type 1 corresponds to the orthogonal beam pair {(0,0),(O 1 ,O 2 )}.   Orthogonal beam type 2 corresponds to the orthogonal beam pair {(0,0),(0,O 2 )}.   Orthogonal beam type 3 corresponds to the orthogonal beam pair {(0, O 2 ),(O 1 ,O 2 )}.       

     Depending on the number of orthogonal beam types considered to construct the rank 3-4 codebooks, the orthogonal beam types are selected as follows:
         If the number of orthogonal beam types=2, then Orthogonal beam type 0 and Orthogonal beam type 1 are selected.   If the number of orthogonal beam types=3, then Orthogonal beam type 0, Orthogonal beam type 1, and Orthogonal beam type 2 are selected.   If the number of orthogonal beam types=4, then Orthogonal beam type 0, Orthogonal beam type 1, Orthogonal beam type 2, and Orthogonal beam type 3 are selected.       

     Please see the below Table Section for Table 59 and 60. 
     The rank-3 and rank-4 codebooks according to this orthogonal beam pair construction is shown in Table 59 and Table 60, respectively, where Table 58 is used for δ 1,0   (k) , δ 2,0   (k) , δ 1,1   (k) , and δ 2,1   (k)  values for each of K=2, 3, or 4, where the superscript k=0, 1, 2, and 3 are used for Orthogonal beam type 0, Orthogonal beam type 1, Orthogonal beam type 2, and Orthogonal beam type 3, respectively. Note that the codebooks can be used for any of Q=8, 12, 16, and 32 antenna port configurations with at least 2 ports in the shorter dimension. 
     The number of bits to report rank 3-4 PMI (i 2 ) is shown in Table 61 for both SB and WB reporting of orthogonal beam type. Note that in case SB reporting of orthogonal beam type, K=2 requires 1 bit and K=3,4 requires 2 bits in each SB. For WB reporting, 1 bit (K=1) and 2 bits (K=3,4) are reported for the whole WB. 
     
       
         
           
               
             
               
                 TABLE 61 
               
             
            
               
                   
               
               
                 Number of rank 3-4 i 2  bits 
               
            
           
           
               
               
               
            
               
                   
                 SB reporting of orthogonal 
                 WB reporting of orthogonal 
               
               
                   
                 beam type 
                 beam type 
               
            
           
           
               
               
               
               
               
            
               
                   
                 Number 
                 Number 
                 Number 
                 Number 
               
               
                   
                 of i 2  bits in 
                 of i 2  bits in 
                 of i 2  bits in 
                 of i 2  bits in 
               
               
                   
                 each SB 
                 each SB 
                 each SB 
                 each SB 
               
               
                 K 
                 (Rank 3) 
                 (Rank 4) 
                 (Rank 3) 
                 (Rank 4) 
               
               
                   
               
               
                 2 
                 2 + 1 = 3 
                 1 + 1 = 2 
                 2 
                 1 
               
               
                 3 
                 2 + 2 = 4 
                 1 + 2 = 3 
               
               
                 4 
                 2 + 2 = 4 
                 1 + 2 = 3 
               
               
                   
               
            
           
         
       
     
     In some embodiments, a UE is configured with one of K=2, 3, or 4 for rank 3-4 codebooks. 
     In some embodiments, the rank 3-4 codebook is pre-determined with a fixed K value, for example K=4. 
     In some embodiments, a UE is configured with one orthogonal beam type depending on the configured value of K according to some embodiments of this disclosure. 
     In some embodiments, a UE reports one orthogonal beam type from K orthogonal beam types depending on the configured value of K according to some embodiments of this disclosure. 
     In one method, the configured value of K=4. 
     In one method, this reporting is SB and short-term. In this case, the UE reports orthogonal beam type per subband, and i 2  can indicate this information as well as other information such as beam selection and co-phase. 
     In another method, it is WB and long-term. In this case the UE reports one orthogonal beam type for whole (set S) subbands in case of PUSCH reporting. In case of PUCCH reporting, this information is reported together with i 1  (i 11  and i 12 ). 
     Embodiments on rank 3-4 codebooks with 2, 3, or 4 orthogonal beam types (with SB beam selection) 
       FIG. 36  illustrates beam grouping schemes  3600  for rank 3-4 according to embodiments of the present disclosure. 
     In some embodiments, as shown in  FIG. 36 , the rank 3-4 master beam group consists of 4 “closest” orthogonal beam groups of size (L 1 ,L 2 )=(4,2) in 2D for N 1 ≧N 2  configuration, where 4 orthogonal beam groups are located at {0, O 1 } for the 1st dimension and {0, O 2 } are for the 2nd dimension. The 4 orthogonal beam types are the same as in  FIG. 35  except that each type corresponds to a pair of orthogonal beam groups. Depending on the number of orthogonal beam types (K) considered to construct the rank 3-4 codebooks, the orthogonal beam types are selected as follows:
         Orthogonal beam type 0 corresponds to the orthogonal beam group pair located at {(0,0),(O 1 ,0)}.   Orthogonal beam type 1 corresponds to the orthogonal beam group pair located at {(0,0),(O 1 ,O 2 )}.   Orthogonal beam type 2 corresponds to the orthogonal beam group pair located at {(0,0),(0,O 2 )}.   Orthogonal beam type 3 corresponds to the orthogonal beam group pair located at {(0, O 2 ),(O 1 ,O 2 )}.       

     Please see the below Table Section for Tables 62 and 63. 
     The rank-3 and rank-4 codebooks according to this orthogonal beam group pair construction is shown in Table 62 and Table 63, respectively, where Table 48 is used for δ 1,0   (k) , δ 2,0   (k) , δ 1,1   (k) , and δ 2,1   (k)  values for each of K=2, 3, or 4, where the superscript k=0, 1, 2, and 3 are used for Orthogonal beam type 0, Orthogonal beam type 1, Orthogonal beam type 2, and Orthogonal beam type 3, respectively. Note that the codebooks can be used for any of Q=8, 12, 16, and 32 antenna port configurations with at least 2 ports in the shorter dimension. 
     Some of the embodiments of this disclosure on configuration or reporting of K, orthogonal beam type, and delta values are applicable to this embodiment. 
     It is straightforward for the skilled-in-the-art to recognize that the this embodiment is applicable to other orthogonal beam group sizes including size (L 1 ,L 2 )=(4,1), (2,2), (2,1), and (1,1). 
     Embodiments on delta reporting with i 1  (i 1,1  and i 1,2 ) 
     In some embodiments, a UE reports δ 1 , δ 2  (or δ 1,0   (0) , δ 2,0   (0) , δ 1,1   (0) , and δ 2,1   (0) ) for rank 3-4 codebooks and δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  for rank 5-8 codebooks, according to some embodiments of this disclosure, jointly with i 1  (or i 1,1  or i 1,2 ). 
     In one alternative, the UE reports i 1 ′=(i 1 ,j) where i 1  corresponds to the W1 beam group reporting and j corresponds to the orthogonal beam type (δ 1 , δ 2  or δ 1,0   (0) , δ 2,0   (0) , δ 1,1   (0) , and δ 2,1   (0) ) reporting for rank 3-4. For example, for rank 3-4 codebook tables in Table 62 and Table 637, the UE reports i 1 ′ using a 4-bit indication, where the 2 bits are used to indicate i 1  and 2 bits are used indicate j. 
     In one method, the two most significant bits (MSB) corresponds to the orthogonal beam type (j) and the 2 two least significant bits (LSB) corresponds to i 1 . Table 64 shows an example of such i 1 ′ reporting. 
     
       
         
           
               
             
               
                 TABLE 64 
               
             
            
               
                   
               
               
                 i 1 ′ to (i 1 , j) mapping for rank 
               
               
                 3-4 codebooks (Table 62 and Table 63) 
               
            
           
           
               
               
               
               
               
            
               
                 b 3 b 2 b 1 b 0   
                   
                 j 
                 b 1 b 0   
                 i 1   
               
               
                   
               
               
                 0000 
                 00 
                 Orthogonal beam type 0 
                 00 
                 0 
               
               
                 0001 
                   
                   
                 01 
                 1 
               
               
                 0010 
                   
                   
                 10 
                 2 
               
               
                 0011 
                   
                   
                 11 
                 3 
               
               
                 0100-0111 
                 01 
                 Orthogonal beam type 1 
                 00, 01, 10, 11 
                 0-3 
               
               
                 1000-1011 
                 10 
                 Orthogonal beam type 2 
                 00, 01, 10, 11 
                 0-3 
               
               
                 1100-1111 
                 11 
                 Orthogonal beam type 3 
                 00, 01, 10, 11 
                 0-3 
               
               
                   
               
            
           
         
       
     
     In another method, the two most significant bits (MSB) corresponds to i 1  and the 2 two least significant bits (LSB) corresponds to the orthogonal beam type (j). 
     In another alternative, the UE reports i 1,1 ′=(i 1,1 , j) where i 1,1  corresponds to the W1 beam group reporting in the 1st dimension and j corresponds to the orthogonal beam type (δ 1 , δ 2  or δ 1,0   (0) , δ 2,0   (0) , δ 1,1   (0) , and δ 2,1   (0) ) reporting for rank 3-4. For example, for rank 3-4 codebook tables in Table 62 and Table 63 the UE reports i 1,1 ′ using a 4-bit indication, where the 2 bits are used to indicate i 1,1  and 2 bits are used indicate j. Similar to the first alternative, 2 bits to indicate j may either be 2 LSBs or 2 MSBs of the 4-bit indication. 
     In yet another alternative, the UE reports i 1,2 ′=(i 1,2 , j) where i 1,2  corresponds to the W1 beam group reporting in the 2nd dimension and j corresponds to the orthogonal beam type (δ 1 , δ 2  or δ 1,0   (0) , δ 2,0   (0) , δ 1,1   (0) , and δ 2,1   (0) ) reporting for rank 3-4. 
     The above-mentioned alternatives are applicable to rank 5-8 codebooks. For instance, i 1 ′ may be reported using a 4-bit indication, whose 2 bits are for i 1  (i 1,1  and i 1,2 ) indication and 2 bits are for orthogonal beam type (δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3 ) indication. 
     Other Rank 3-8 Codebook Design Alternatives 
     In some embodiments, rank 3-8 codebooks can be constructed according to alternative master codebook alternatives 1-4 shown in  FIG. 37 ,  FIG. 38 ,  FIG. 39 , and  FIG. 40 , according to some embodiments of this disclosure. 
       FIG. 37  illustrates an alternate rank 3-8 codebook design 1  3700 : (L 1 ,L 2 )=(4,2) according to embodiments of the present disclosure; 
       FIG. 38  illustrates an Alternate rank 3-8 codebook design 2  3800 : (L 1 ,L 2 )=(4,1) according to embodiments of the present disclosure; 
       FIG. 39  illustrates an alternate rank 3-8 codebook design 3  3900 : (L 1 ,L 2 )=(2,2) according to embodiments of the present disclosure. 
       FIG. 40  illustrates an alternate rank 3-8 codebook design 4  4000 : (L 1 ,L 2 )=(2,1) according to embodiments of the present disclosure. 
     In some embodiments, as shown in  FIG. 36B , the rank 3-4 master beam group consists of 4 orthogonal beam types of size (L 1 ,L 2 )=(4,2) in 2D for N 1 ≧N 2  configuration, where the orthogonal beam types are as follows: Orthogonal beam type 0 corresponds to the orthogonal beam group pair located at {(0,0),(O 1 ,0)}. Orthogonal beam type 1 corresponds to the orthogonal beam group pair located at {(0,0),(O 1 ,O 2 )}. Orthogonal beam type 2 corresponds to the orthogonal beam group pair located at {(0,0),(0,O 2 )}. Orthogonal beam type 3 corresponds to the orthogonal beam group pair located at {(0,0),((N 1 −1)O 1 ,0)}. 
     The rank-3 and rank-4 codebooks according to construction is shown in Table 66 and Table 67, respectively, where Table 65 is used for δ 1  and δ 2  values and the indices k=0, 1, 2, and 3 are used for Orthogonal beam type 0, Orthogonal beam type 1, Orthogonal beam type 2, and Orthogonal beam type 3, respectively. Note that the codebooks can be used for any of Q=8, 12, 16, and 32 antenna port configurations. Note also that k=3 is applicable to Q=12, 16, and 32 ports. 
     
       
         
           
               
             
               
                 TABLE 65 
               
             
            
               
                   
               
               
                 Orthogonal beam type to (δ 1 , δ 2 ) mapping for N 1  ≧ N 2   
               
            
           
           
               
               
            
               
                   
                 k 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 δ 
                 0 
                 1 
                 2 
                 3 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
            
               
                 If N 1  &gt; 1 and N 2  &gt; 1 
                 δ 1   
                 O 1   
                 0 
                 O 1   
                 (N 1  − 1)O 1   
               
               
                   
                 δ 2   
                 0 
                 O 2   
                 O 2   
                 0 
               
               
                 If N 2  = 1 
                 δ 1   
                 O 1   
                 2O 1   
                 3O 1   
                 (N 1  − 1)O 1   
               
               
                   
                 δ 2   
                 0 
                 0 
                 0 
                 0 
               
               
                   
               
            
           
         
       
     
     The UE is configured to report i 1,1 , i 1,2 , and k jointly WB and long-term according to some embodiments of this disclosure, where the range of values that they take are follows: 
                 i     1   ,   1       =   0     ,   1   ,   …   ,             O   1     ⁢     N   1         s   1       -   1     ;       i     1   ,   2       =   0       ,   1   ,   …   ,             O   2     ⁢     N   2         s   2       -   1     ;           
and k=0,1,2,3. Note that 2-bit indication is needed to report the orthogonal beam type k.
 
     Please see the below Table Section for Tables 66 and 67. 
     In some embodiments, a UE is configured with a beam group configuration from four configurations, namely Config 1, Config 2, Config 3, and Config 4, for codebook subset selection on master rank 3-4 codebooks. For k=0, an illustration of the four configurations is shown  FIG. 41 . Depending on the configuration, the UE selects i 2 ′ indices (in Table 66 and Table 67) according to Table 68 and Table 69 for rank 3 and rank 4, respectively, for PMI reporting. The parameters (s 1 ,s 2 ) and (p 1 ,p 2 ) for the four configurations are shown in Table 68 and Table 69. Note that three options are provided for s 2  in case of Config 4. Depending on the desired number of beams (or resolution) in the shorter dimension, the UE is configured with one option. 
       FIG. 41  illustrates example orthogonal beams  4100  for rank 3-4 when k=0 according to some embodiments of the present disclosure. 
     
       
         
           
               
             
               
                 TABLE 68 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-3 CSI reporting (in Table 66) 
               
            
           
           
               
               
               
               
            
               
                 Config 
                 Selected i 2 ′ indices 
                 (s1, s2) 
                 (p 1 , p 2 ) 
               
               
                   
               
               
                 1 
                 0, 2 
                 (1, 1) 
                 (—, —) 
               
               
                   
               
               
                 2 
                 0-7, 16-23 
                 (O 1 , O 2 ) 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             2 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             2 
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                   
               
               
                 3 
                 0-3, 8-11, 20-23, 28-31 
                 (O 1 , O 2 ) 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             2 
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                   
               
               
                 4 
                 0-15 
                 (O 1 , —) If N 2  = 1 Option 0: (O 1 , 2) If N 2  &gt; 1 and N 2  &gt; 1   
         Option   ⁢             ⁢             ⁢   1   ⁢     :     ⁢           ⁢     (       O   1     ,       O   2     2       )     ⁢           ⁢   If   ⁢           ⁢     N   1       &gt;     1   ⁢           ⁢   and   ⁢           ⁢     N   2       &gt;   1       
   Option 2: (O 1 , O 2 ) If N 1  &gt; 1 and N 2  &gt; 1 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           — 
                         
                         ) 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 69 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-4 CSI reporting (in Table 67) 
               
            
           
           
               
               
               
               
            
               
                 Config 
                 Selected i 2 ′ indices 
                 (s1, s2) 
                 (p 1 , p 2 ) 
               
               
                   
               
               
                 1 
                 0, 1 
                 (1, 1) 
                 (—, —) 
               
               
                   
               
               
                 2 
                 0-3, 8-11 
                 (O 1 , O 2 ) 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             2 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             2 
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                   
               
               
                 3 
                 0-1, 4-5, 10-11, 14-15 
                 (O 1 , O 2 ) 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             2 
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                   
               
               
                 4 
                 0-7 
                 (O 1 , —) If N 2  = 1 Option 0: (O 1 , 2) If N 1  &gt; 1 and N 2  &gt; 1   
         Option   ⁢             ⁢             ⁢   1   ⁢     :     ⁢           ⁢     (       O   1     ,       O   2     2       )     ⁢           ⁢   If   ⁢           ⁢     N   1       &gt;     1   ⁢           ⁢   and   ⁢           ⁢     N   2       &gt;   1       
   Option 2: (O 1 , O 2 ) If N 1  &gt; 1 and N 2  &gt; 1 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           — 
                         
                         ) 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     Note that p 1 =s 1 /L 1  for Configs 2-4, where L 1  is the number of included beam indices along the first dimension of the master codebook. In other words, for Configs 2-4, the effective oversampling is kept fixed for rank 3-4. 
     In some embodiments, a UE is configured with a larger table of δ 1  and δ 2  values (index k). In one example, the table of δ 1  and δ 2  values include all orthogonal pairs with the leading beam (0,0). An example of such a table is shown in Table 70. Depending on the number of antenna ports (Q), the UE uses a subset of δ 1 , δ 2  (or k values). For instance, if Q=8, the UE uses k=0-2; if Q=12, the UE uses k=0-4; and Q=16, the UE uses k=0-6. Note the 2-bit indication is needed for Q=8, and 3-bit indication is needed for Q=12,16. 
     
       
         
           
               
             
               
                 TABLE 70 
               
             
            
               
                   
               
               
                 Orthogonal beam type to (δ 1 , δ 2 ) mapping for N 1  ≧ N 2   
               
            
           
           
               
               
            
               
                   
                 k 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                   
                 δ 
                 0 
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 If N 1  &gt; 1 and 
                 δ 1   
                 O 1   
                 0 
                 O 1   
                 2O 1   
                 2O 1   
                 3O 1   
                 3O 1   
               
               
                 N 2  &gt; 1 
                 δ 2   
                 0 
                 O 2   
                 O 2   
                 0 
                 O 2   
                 0 
                 O 2   
               
               
                 If N 2  = 1 
                 δ 1   
                 O 1   
                 2O 1   
                 3O 1   
                 4O 1   
                 5O 1   
                 6O 1   
                 7O 1   
               
               
                   
                 δ 2   
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                   
               
            
           
         
       
     
     In some embodiments, a UE is configured with rank 3-4 codebooks with codebook subset restriction (CSR) on k, which determines a subset of values of k UE can report. 
     In one method, the CSR configuration is based on a bitmap. 
     For example, for k values in Table 70, a 7-bit bitmap can be configured to indicate a subset of k values that UE can report. 
     For example, for k values in Table 65, a 4-bit bitmap can be configured to indicate a subset of k values that UE can report. 
     It is straightforward for the skilled-in-the-art to recognize that the this embodiment is applicable to antenna port configuration N 1 &lt;N 2  and other orthogonal beam group sizes including size (L 1 ,L 2 )=(4,1), (2,2), (2,1), and (1,1). 
     Alternate rank 5-6 codebooks for N 1 ≧N 2    
       FIG. 42  illustrates alternate rank 5-6 orthogonal beam types  4200  according to embodiments of the present disclosure. 
     In some embodiments, a UE reports or is configured with a orthogonal beam type for rank 5-6 codebooks from Orthogonal beam types 0-7 as shown in  FIG. 42  according to some embodiments of this disclosure. Depending on the configuration, the UE selects the three orthogonal beams, the first beam is located at (0,0), and the 2nd and 3rd beams correspond to indices (k 1 ,k 2 ) as in Table 71, where k 1 , and k 2  take k values in Table 70. The UE them derives rank-5 and rank-6 pre-coders W i     1,1     ,i     1,2     (5)  and W i     1,1     ,i     1,2     (6)  as defined above. 
     
       
         
           
               
             
               
                 TABLE 71 
               
             
            
               
                   
               
               
                 Orthogonal beam type to δ 1, 1 , δ 1, 2 , δ 2, 1 , δ 2, 2 , for rank 
               
               
                 5-6 codebook for 12 or 16 port with N 1  ≧ N 2  &gt; 1 
               
            
           
           
               
               
               
            
               
                   
                 Orthogonal 
                 (k 1 , k 2 ) from Table 70 for 
               
               
                   
                 beam type 
                 δ 1, k     1   , δ 1, k     2   , δ 2, k     1   , δ 2, k     2     
               
               
                   
                   
               
               
                   
                 0 
                 (0, 3) 
               
               
                   
                 1 
                 (2, 3) 
               
               
                   
                 2 
                 (0, 1) 
               
               
                   
                 3 
                 (0, 2) 
               
               
                   
                 4 
                 (0, N 1  + 1) 
               
               
                   
                 5 
                 (2, N 1  + 1) 
               
               
                   
                 6 
                 (1, N 1  + 1) 
               
               
                   
                 7 
                 (N 1  + 1, N 1  + 2) 
               
               
                   
                   
               
            
           
         
       
     
     For N 1 &lt;N 2 , the rank 5-6 codebook design is similar. 
     Alternate rank 7-8 codebooks for N 1 ≧N 2    
       FIG. 43  illustrates alternate rank 7-8 orthogonal beam types  4300  according to embodiments of the present disclosure. 
     In some embodiments, a UE reports or is configured with a orthogonal beam type for rank 7-8 codebooks from Orthogonal beam types 0-7 as shown in  FIG. 43  according to some embodiments of this disclosure. Depending on the configuration, the UE selects the four orthogonal beams, the first beam is located at (0,0), and the 2nd, 3rd, and 4th beams correspond to indices (k 1 ,k 2 ,k 3 ) as in Table 72 (for 16 ports), where k 1 , k 2 , and k 3  take k values in Table 70. The UE them derives rank-7 and rank-8 pre-coders W i     1,1     ,i     1,2     (7)  and W i     1,1     ,i     1,2     (8)  as defined above. The delta table for 12 ports can be constructed similarly. 
     
       
         
           
               
             
               
                 TABLE 72 
               
             
            
               
                   
               
               
                 Orthogonal beam type to δ 1, 1 , δ 1, 2 , δ 2, 1 , δ 2, 2 , δ 1, 3 , δ 2, 3   
               
               
                 for rank 7-8 codebook for 16 port with N 1  ≧ N 2  &gt; 1 
               
            
           
           
               
               
               
            
               
                   
                 Orthogonal 
                 (k 1 , k 2 , k 3 ) from Table 70 for 
               
               
                   
                 beam type 
                 δ 1, k     1   , δ 1, k     2   , δ 1, k     3   , δ 2, k     1   , δ 2, k     2   , δ 2, k     3     
               
               
                   
                   
               
               
                   
                 0 
                 (0, 3, 5) 
               
               
                   
                 1 
                 (2, 3, 6) 
               
               
                   
                 2 
                 (0, 1, 2) 
               
               
                   
                 3 
                 (0, 1, 5) 
               
               
                   
                 4 
                 (0, 2, 5) 
               
               
                   
                 5 
                 (0, 1, 3) 
               
               
                   
                 6 
                 (0, 2, 3) 
               
               
                   
                 7 
                 (1, 5, 6) 
               
               
                   
                   
               
            
           
         
       
     
     For N 1 &lt;N 2 , the rank 7-8 codebook design is similar. 
     Embodiments on delta reporting with i 1  (i 1,1  and i 1,2 ) 
     In some embodiments, a UE reports δ 1 , δ 2  (or δ 1 , δ 2  (or δ 1,0   (0) , δ 2,0   (0) , δ 1,1   (0) , and δ 2,1   (0) ) for rank 3-4 codebooks and δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  for rank 5-8 codebooks, according to some embodiments of this disclosure, jointly with i 1  (or i 1,1  or i 1,2 ). 
     In one alternative, the UE reports i 1 ′=(i 1 ,j) where i 1  corresponds to the W1 beam group reporting and j corresponds to the orthogonal beam type (δ 1 , δ 2  or δ 1,0   (0) , δ 2,0   (0) , δ 1,1   (0) , and δ 2,1   (0) ) reporting for rank 3-4. For example, for rank 3-4 codebook tables in Table 56 and Table 57, the UE reports i 1 ′ using a 4-bit indication, where the 2 bits are used to indicate i 1  and 2 bits are used indicate j. 
     In one method, the two most significant bits (MSB) corresponds to the orthogonal beam type (j) and the 2 two least significant bits (LSB) corresponds to i 1 . Table 73 shows an example of such i 1 ′ reporting. 
     
       
         
           
               
             
               
                 TABLE 73 
               
             
            
               
                   
               
               
                 i′ 1  to (i 1 , j) mapping for rank 
               
               
                 3-4 codebooks (Table 56 and Table 57) 
               
            
           
           
               
               
               
               
               
            
               
                 b 3 b 2 b 1 b 0   
                   
                 j 
                 b 1 b 0   
                 i 1   
               
               
                   
               
               
                 0000 
                 00 
                 Orthogonal beam type 0 
                 00 
                 0 
               
               
                 0001 
                   
                   
                 01 
                 1 
               
               
                 0010 
                   
                   
                 10 
                 2 
               
               
                 0011 
                   
                   
                 11 
                 3 
               
               
                 0100-0111 
                 01 
                 Orthogonal beam type 1 
                 00, 01, 10, 11 
                 0-3 
               
               
                 1000-1011 
                 10 
                 Orthogonal beam type 2 
                 00, 01, 10, 11 
                 0-3 
               
               
                 1100-1111 
                 11 
                 Orthogonal beam type 3 
                 00, 01, 10, 11 
                 0-3 
               
               
                   
               
            
           
         
       
     
     In another method, the two most significant bits (MSB) corresponds to i 1  and the 2 two least significant bits (LSB) corresponds to the orthogonal beam type (j). 
     In another alternative, the UE reports i 1,1 ′=(i 1,1 ,j) where i 1,1  corresponds to the W1 beam group reporting in the 1st dimension and j corresponds to the orthogonal beam type (δ 1 , δ 2  or δ 1,0   (0) , δ 2,0   (0) , δ 1,1   (0) , and δ 2,1   (0) ) reporting for rank 3-4. For example, for rank 3-4 codebook tables in Table 56 and Table 57, the UE reports i 1,1 ′ using a 4-bit indication, where the 2 bits are used to indicate i 1,1  and 2 bits are used indicate j. Similar to the first alternative, 2 bits to indicate j may either be 2 LSBs or 2 MSBs of the 4-bit indication. 
     In yet another alternative, the UE reports i 1,2 ′=(i 1,2 , j) where i 1,2  corresponds to the W1 beam group reporting in the 2nd dimension and j corresponds to the orthogonal beam type (δ 1 , δ 2 , or δ 1,0   (0) , δ 2,0   (0) , δ 1,1   (0) , and δ 2,1   (0) ) reporting for rank 3-4. 
     The above-mentioned alternatives are applicable to rank 5-8 codebooks. For instance, may be reported using a 4-bit indication, whose 2 bits are for i 1  (i 1,1  and i 1,2 ) indication and 2 bits are for orthogonal beam type (δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3 ) indication. 
     In another alternative, for rank 3-4 codebook, the UE reports i 1 ′=(i 1 , k) or i 11 ′=(i 11 , k) or i 1,2 ′=(i 1,2 ,k) where i 1  (or i 1,1  or i 1,2 ) corresponds to the W1 beam group reporting and k corresponds to the orthogonal beam pair from Table 70. For example, the UE reports i 1 ′ or i 1,1 ′ or i 1,2 ′ using a (x+y)-bit indication, where the x bits are used to indicate i 1  (or i 1,1  or i 1,2 ) and y bits are used to indicate k. 
     In another alternative, for rank 5-6 codebook, the UE reports i 1 ′=(i 1 ,k 1 ,k 2 ) or i 11 ′=(i 1,1 ,k 1 ,k 2 ) or i 1,2 ′=(i 1,2 ,k 1 ,k 2 ) where i 1  (or i 1,1  or i 1,2 ) corresponds to the W1 beam group reporting and k 1 , k 2  corresponds to the orthogonal beam type from Table 70 and Table 71. For example, the UE reports i 1 ′ or i 1,1 ′ or i 1,2 ′ using a (x+y)-bit indication, where the x bits are used to indicate i 1  (or i 1,1  or i 1,2 ) and y bits are used to indicate k 1 , k 2 . 
     In another alternative, for rank 5-6 codebook, the UE reports i 1 ′=(i 1 , k 1 , k 2 , k 3 ) or i 11 ′=(i 11 , k 1 , k 2 , k 3 ) or i 1,2 ′=(i 1,2 , k 1 , k 2 , k 3 ) where i 1  (or i 1,1  or i 1,2 ) corresponds to the W1 beam group reporting and k 1 ,k 2 ,k 3  corresponds to the orthogonal beam type from Table 70 and Table 72. For example, the UE reports i 1 ′ or i 1,1 ′ or i 1,2 ′ using a (x+y)-bit indication, where the x bits are used to indicate i 1  (or i 1,1  or i 1,2 ) and y bits are used to indicate k 1 ,k 2 ,k 3 . 
     Embodiment on Master Codebook for all Config 
     Master Rank-1 Codebook 
     In some embodiments, the rank-1 class A codebook is described in Table 74 and Table 75. 
     A UE is configured with one of Config 1, Config 2, Config 3, and Config 4. Depending on the configured Config parameter, the UE performs codebook subset selection (CSS) by selecting a subset of indices in Table 75 according to Table 74. 
                     TABLE 74                  CSS table for four configurations with the bit maps        for the four configurations illustrated in FIG 57A.                         Config   Selected i ′   2  indices   (s1 ,s2)               Config 1   0-3   (1, 1)       Config 2   0-7, 16-23   (2, 2)       Config 3   0-3, 8-11, 20-23, 28-31   (2, 2)       Config 4   0-15   (2, 2)                                   W       m   1     ,     m   2     ,   n       (   1   )       =       1     Q       ⁡     [             v     m   1       ⊗     u     m   2                     φ   n     ⁢       v     m   1       ⊗     u     m   2                 ]                       v     m   1       =       [         1         e     j   ⁢           ⁢       2   ⁢   π   ⁢           ⁢     m   1           O   1     ⁢     N   1                 …         e     j   ⁢       2   ⁢           ⁢   π   ⁢           ⁢       m   1     ⁡     (       N   1     -   1     )             O   1     ⁢     N   1                   ]     t       ,     
     ⁢       u     m   2       =       [         1         e     j   ⁢           ⁢       2   ⁢   π   ⁢           ⁢     m   2           O   2     ⁢     N   2                 …         e     j   ⁢           ⁢       2   ⁢   π   ⁢           ⁢       m   2     ⁡     (       N   2     -   1     )             O   2     ⁢     N   2                   ]     t                       i     1   ,   1       =   0     ,   1   ,   …   ⁢           ,         O   1     ⁢       N   1     /     s   1         -   1                     i     1   ,   2       =   0     ,   1   ,   …   ⁢           ,         O   2     ⁢       N   2     /     s   2         -   1                              
p 1 =1 and p 2 =1.
 
     The proposed rank-1 codebook is characterized by three parameters: {i 11 , i 12 , i 2 }, where i 2  corresponds to the selected i 2 ′ indices from Table 75 according to the Config parameter. 
     
       
         
           
               
             
               
                 TABLE 75 
               
               
                   
               
               
                 Master codebook for 1 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     2     i     1, 2     , 0   (1)   
                 W s     1     i     1, 1     , s     2     i     1, 2     , 1   (1)   
                 W s     1     i     1, 1     , s     2     i     1, 2     , 2   (1)   
                 W s     1     i     1, 1     , s     2     i     1, 2     , 3   (1)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +1, s     2     i     1, 2     , 0   (1)   
                 W s     1     i     1, 1     +1, s     2     i     1, 2     , 1    (1)   
                 W s     1     i     1, 1     +1, s     2     i     1, 2     , 2   (1)   
                 W s     1     i     1, 1     +1, s     2     i     1, 2     , 3   (1)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +2, s     2     i     1, 2     , 0   (1)   
                 W s     1     i     1, 1     +2, s     2     i     1, 2     , 1   (1)   
                 W s     1     i     1, 1     +2, s     2     i     1, 2     , 2   (1)   
                 W s     1     i     1, 1     +2, s     2     i     1, 2     , 3   (1)   
               
               
                   
               
               
                 i 2 ′ 
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +3, s     2     i     1, 2     , 0   (1)   
                 W s     1     i     1, 1     +3, s     2     i     1, 2     , 1   (1)   
                 W s     1     i     1, 1     +3, s     2     i     1, 2     , 2   (1)   
                 W s     1     i     1, 1     +3, s     2     i     1, 2     , 3   (1)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 16-31 
               
               
                   
               
               
                 Precoder 
                 Entries 16-31 constructed with replacing the second subscript  s     2     i     1, 2     
               
               
                   
                 with  s     2     i     1, 2     +1  in entries 0-15 
               
               
                   
               
            
           
         
       
     
     Master Rank-2 Codebook 
     In some embodiments, the rank-2 class A codebook is described in Table 76 and Table 77. Note that in Config 3 and Config 4, the four beams shown in grey are numbered 0-3, and legacy 8-Tx rank-2 beam pairs {00,11,22,33,01,12,13,03} are formed according to this numbering in the proposed rank-2 codebook. Also note that for Config 1, the rank-2 codebook corresponds to a single beam and QPSK {1,j,−1,−j} co-phase. 
     A UE is configured with one of Config 1, Config 2, Config 3, and Config 4. Depending on the configured Config parameter, the UE performs codebook subset selection (CSS) by selecting a subset of i 2 ′ indices in Table 77 according to Table 76. 
                     TABLE 76                  CSS table for four configurations with the bit maps        for the four illustrated in FIG 57B.                         Config   Selected i ′   2  indices   (s1, s2)               Config 1   0-1,36-37   (1, 1)       Config 2   0-3, 8-9, 16-19, 22-23, 32-35   (2, 2)       Config 3   0-1, 4-5, 18-21, 24-31   (2, 2)       Config 4   0-15   (2, 2)                                   W       m   1     ,     m   1   ′     ,     m   2     ,     m   2   ′     ,   n       (   2   )       =       1       2   ⁢   Q         ⁡     [             v     m   1       ⊗     u     m   2                 v     m   1   ′       ⊗     u     m   2   ′                     φ   n     ⁢       v     m   1       ⊗     u     m   2                   -     φ   n       ⁢       v     m   1   ′       ⊗     u     m   2   ′                 ]                       v     m   1       =       [         1         e     j   ⁢           ⁢       2   ⁢   π   ⁢           ⁢     m   1           O   1     ⁢     N   1                 …         e     j   ⁢       2   ⁢           ⁢   π   ⁢           ⁢       m   1     ⁡     (       N   1     -   1     )             O   1     ⁢     N   1                   ]     t       ,     
     ⁢       u     m   2       =       [         1         e     j   ⁢           ⁢       2   ⁢   π   ⁢           ⁢     m   2           O   2     ⁢     N   2                 …         e     j   ⁢       2   ⁢           ⁢   π   ⁢           ⁢       m   2     ⁡     (       N   2     -   1     )             O   2     ⁢     N   2                   ]     t                       i     1   ,   1       =   0     ,   1   ,   …   ⁢           ,         O   1     ⁢       N   1     /     s   1         -   1                     i     1   ,   2       =   0     ,   1   ,   …   ⁢           ,         O   2     ⁢       N   2     /     s   2         -   1                              
If Config 2 and N 1 &lt;=N 2 , then
 
p 1 =O 1  and p 2 =1.
 
Otherwise
 
p 1 =1 and p 2 =1.
 
     The proposed rank-2 codebook is characterized by three parameters: {i 11 ,i 12 , i 2 }, where corresponds to the selected i 2 ′ indices from Table 76 according to the Config parameter. 
     Please see the below Table Section for Table 77. 
     Master Rank 3-4 Codebook 
     In some embodiments, the codebook for rank 3-4 is characterized by four parameters: {i 11 , i 12 , k, i 2 }, and codewords are identified by {i 1,1 ′, i 1,2 , i 2 } in CSI feedback. Different values of the parameter k are used to construct different orthogonal beam groups for rank 3-4 codebooks. 
       FIG. 44  illustrates three example orthogonal-beam groups  4400 , indexed by k=0,1,2 for Ranks 3-4 according to some embodiments of the present disclosure. 
     Table 79 and Table 80 show the rank 3-4 codebook tables that can be used for any of Q=8, 12, and 16 antenna port configurations, where δ 1 , δ 2  are selected from Table 78 depending on the k value, the corresponding rank 3 precoder is either 
                 W       m   1     ,     m   1   ′     ,     m   2     ,     m   2   ′         (   3   )       =       1       3   ⁢   Q         ⁡     [             v     m   1       ⊗     u     m   2                 v     m   1       ⊗     u     m   2                 v     m   1   ′       ⊗     u     m   2   ′                     v     m   1       ⊗     u     m   2                 -     v     m   1         ⊗     u     m   2                 -     v     m   1   ′         ⊗     u     m   2   ′               ]         ,           ⁢       or   ⁢           ⁢       W   ~         m   1     ,     m   1   ′     ,     m   2     ,     m   2   ′         (   3   )         =       1       3   ⁢   Q         ⁡     [             v     m   1       ⊗     u     m   2                 v     m   1   ′       ⊗     u     m   2   ′                 v     m   1   ′       ⊗     u     m   2   ′                     v     m   1       ⊗     u     m   2                 v     m   1   ′       ⊗     u     m   2   ′                 -     v     m   1   ′         ⊗     u     m   2   ′               ]         ,         
and the corresponding rank 4 precoder is
 
     
       
         
           
             
               W 
               
                 
                   m 
                   1 
                 
                 , 
                 
                   m 
                   1 
                   ′ 
                 
                 , 
                 
                   m 
                   2 
                 
                 , 
                 
                   m 
                   2 
                   ′ 
                 
                 , 
                 n 
               
               
                 ( 
                 4 
                 ) 
               
             
             = 
             
               
                 
                   1 
                   
                     
                       4 
                       ⁢ 
                       Q 
                     
                   
                 
                 ⁡ 
                 
                   [ 
                   
                     
                       
                         
                           
                             v 
                             
                               m 
                               1 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             v 
                             
                               m 
                               1 
                               ′ 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                               ′ 
                             
                           
                         
                       
                       
                         
                           
                             v 
                             
                               m 
                               1 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             v 
                             
                               m 
                               1 
                               ′ 
                             
                           
                           ⊗ 
                           
                             u 
                             
                               m 
                               2 
                               ′ 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                                 ′ 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             
                               v 
                               
                                 m 
                                 1 
                                 ′ 
                               
                             
                             ⊗ 
                             
                               u 
                               
                                 m 
                                 2 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               . 
             
           
         
       
     
     UE feeds back k in PMI as part of the W1 indication. In particular, k is jointly encoded with i 1  indication(s), where i 1,1 ′=(O 1 N 1 /s 1 )k+i 1,1  is reported in CSI feedback. 
     There are two alternatives for the number of values of k: 
     If N 1 &gt;1 and N 2 &gt;1: k=0,1 in Table 78. 
     If N 2 =1: k=0,1,2 in Table 78. 
     
       
         
           
               
             
               
                 TABLE 78 
               
             
            
               
                   
               
               
                 Orthogonal beam type to (δ 1 , δ 2 ) mapping 
               
            
           
           
               
               
               
               
               
            
               
                   
                 K 
                 0 
                 1 
                 2 
               
               
                   
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 If N 1  &gt; 1 and N 2  &gt; 1 
                 δ 1   
                 O 1   
                 0 
                   
               
               
                   
                   
                 δ 2   
                 0 
                 O 2   
                   
               
               
                   
                 If N 2  = 1 
                   
                 O 1   
                 2O 1   
                 3O 1   
               
               
                   
                   
                   
                 0 
                 0 
                 0 
               
               
                   
               
               
                 i 1,1  = 0, 1, . . . , O 1 N 1 /s 1  − 1 
               
               
                 i 1,2  = 0, 1, . . . , O 2 N 2 /s 2  − 1 
               
            
           
         
       
     
     Please see the below Table Section for Tables 79 and 80. 
     Codebook Subset Selection 
       FIG. 45  illustrates example orthogonal beams  4500  for rank 3-4 when k=0 according to some embodiments of the present disclosure. 
     
       
         
           
               
             
               
                 TABLE 81 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-3 CSI reporting (in Table 79) 
               
            
           
           
               
               
               
               
               
            
               
                   
                 Config 
                 Selected i 2 ′ indices 
                 (s1, s2) 
                 (p 1 , p 2 ) 
               
               
                   
                   
               
               
                   
                 1 
                 0, 2 
                 (1, 1) 
                 (—, —) 
               
               
                   
                   
               
               
                   
                 2 
                 0-7, 16-23 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             2 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             2 
                           
                         
                         ) 
                       
                     
                   
                 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             4 
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                   
                   
               
               
                   
                 3 
                 8-23 
                 
                   
                     
                       
                         ( 
                         
                           
                             O 
                             1 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             2 
                           
                         
                         ) 
                       
                     
                   
                 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             4 
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                   
                   
               
               
                   
                 4 
                 0-15 
                 
                   
                     
                       
                         ( 
                         
                           
                             O 
                             1 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             4 
                           
                         
                         ) 
                       
                     
                   
                 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           - 
                         
                         ) 
                       
                     
                   
                 
               
               
                   
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 82 
               
             
            
               
                   
               
               
                 Selected i 2 ′ indices for rank-4 CSI reporting (in Table 80) 
               
            
           
           
               
               
               
               
               
            
               
                   
                 Config 
                 Selected i 2 ′ indices 
                 (s1, s2) 
                 (p 1 , p 2 ) 
               
               
                   
                   
               
               
                   
                 1 
                 0, 1 
                 (1, 1) 
                 (—, —) 
               
               
                   
                   
               
               
                   
                 2 
                 0-3, 8-11 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             2 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             2 
                           
                         
                         ) 
                       
                     
                   
                 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             4 
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                   
                   
               
               
                   
                 3 
                  4-11 
                 
                   
                     
                       
                         ( 
                         
                           
                             O 
                             1 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             2 
                           
                         
                         ) 
                       
                     
                   
                 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             4 
                           
                         
                         ) 
                       
                     
                   
                 
               
               
                   
                   
               
               
                   
                 4 
                 0-7 
                 
                   
                     
                       
                         ( 
                         
                           
                             O 
                             1 
                           
                           , 
                           
                             
                               O 
                               2 
                             
                             4 
                           
                         
                         ) 
                       
                     
                   
                 
                 
                   
                     
                       
                         ( 
                         
                           
                             
                               O 
                               1 
                             
                             4 
                           
                           , 
                           — 
                         
                         ) 
                       
                     
                   
                 
               
               
                   
                   
               
            
           
         
       
     
     With the (s1,s2) and (p1,p2) parameters proposed in Table 81 and Table 82:
         when O1=8 the effective oversampling factor is the same as legacy (i.e., 4), and;   when O1=4 the effective oversampling factor is same as the configured one (i.e., 4).       

     Master Rank 5-8 Codebook 
     For ranks 5-8, the proposed codebooks are characterized by two parameters: {i 11 , i 12 }, and these are used to form i 1  indication(s), rather than {i 11 , i 12 , k} that is used for ranks 3-4. For rank 5, 6, 7, 8, the precoding matrices are as in the following, where δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  are determined by the RRC ‘Config’ parameter, and 
     
       
         
           
             
               
                 
                   ( 
                   
                     
                       s 
                       1 
                     
                     , 
                     
                       s 
                       2 
                     
                   
                   ) 
                 
                 = 
                 
                   
                     ( 
                     
                       1 
                       , 
                       1 
                     
                     ) 
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   for 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   Config 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   1 
                 
               
               ; 
               
                 
                   and 
                   ⁢ 
                   
                     
 
                   
                   ( 
                   
                     
                       s 
                       1 
                     
                     , 
                     
                       s 
                       2 
                     
                   
                   ) 
                 
                 = 
                 
                   
                     ( 
                     
                       
                         
                           O 
                           1 
                         
                         4 
                       
                       , 
                       
                         
                           O 
                           2 
                         
                         4 
                       
                     
                     ) 
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   for 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   Config 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   2 
                 
               
             
             , 
             3 
             , 
             4. 
           
         
       
       
         
           
             
               W 
               
                 
                   i 
                   
                     1 
                     , 
                     1 
                   
                 
                 ⁢ 
                 
                   i 
                   
                     1 
                     , 
                     2 
                   
                 
               
               
                 ( 
                 5 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     5 
                     ⁢ 
                     Q 
                   
                 
               
               ⁡ 
               
                 [ 
                 
                   
                     
                       
                         
                           v 
                           
                             
                               s 
                               1 
                             
                             ⁢ 
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               s 
                               2 
                             
                             ⁢ 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             
                               s 
                               1 
                             
                             ⁢ 
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               s 
                               2 
                             
                             ⁢ 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             
                               
                                 s 
                                 1 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   1 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               
                                 s 
                                 2 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   2 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 2 
                                 , 
                                 1 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             
                               
                                 s 
                                 1 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   1 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               
                                 s 
                                 2 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   2 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 2 
                                 , 
                                 1 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             
                               
                                 s 
                                 1 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   1 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               
                                 s 
                                 2 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   2 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 2 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           v 
                           
                             
                               s 
                               1 
                             
                             ⁢ 
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               s 
                               2 
                             
                             ⁢ 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             v 
                             
                               
                                 s 
                                 1 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   1 
                                 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               s 
                               2 
                             
                             ⁢ 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             
                               
                                 s 
                                 1 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   1 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               
                                 s 
                                 2 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   2 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 2 
                                 , 
                                 1 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             v 
                             
                               
                                 
                                   s 
                                   1 
                                 
                                 ⁢ 
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     1 
                                   
                                 
                               
                               + 
                               
                                 δ 
                                 
                                   1 
                                   , 
                                   1 
                                 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               
                                 s 
                                 2 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   2 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 2 
                                 , 
                                 1 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           v 
                           
                             
                               
                                 s 
                                 1 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   1 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                         
                         ⊗ 
                         
                           u 
                           
                             
                               
                                 s 
                                 2 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   2 
                                 
                               
                             
                             + 
                             
                               δ 
                               
                                 2 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                     
                   
                 
                 ] 
               
             
           
         
       
       
         
           ⋯ 
         
       
       
         
           
             
               W 
               
                 
                   i 
                   
                     1 
                     , 
                     1 
                   
                 
                 ⁢ 
                 
                   i 
                   
                     1 
                     , 
                     2 
                   
                 
               
               
                 ( 
                 6 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     6 
                     ⁢ 
                     Q 
                   
                 
               
               ⁢ 
               
                   
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               
                                 v 
                                 
                                   
                                     s 
                                     1 
                                   
                                   ⁢ 
                                   
                                     i 
                                     
                                       1 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     s 
                                     2 
                                   
                                   ⁢ 
                                   
                                     i 
                                     
                                       1 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 v 
                                 
                                   
                                     s 
                                     1 
                                   
                                   ⁢ 
                                   
                                     i 
                                     
                                       1 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     s 
                                     2 
                                   
                                   ⁢ 
                                   
                                     i 
                                     
                                       1 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 v 
                                 
                                   
                                     
                                       s 
                                       1 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       1 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     
                                       s 
                                       2 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       2 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 v 
                                 
                                   
                                     
                                       s 
                                       1 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       1 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     
                                       s 
                                       2 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       2 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 v 
                                 
                                   
                                     
                                       s 
                                       1 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       1 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     
                                       s 
                                       2 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       2 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 v 
                                 
                                   
                                     
                                       s 
                                       1 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       1 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     
                                       s 
                                       2 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       2 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 v 
                                 
                                   
                                     s 
                                     1 
                                   
                                   ⁢ 
                                   
                                     i 
                                     
                                       1 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     s 
                                     2 
                                   
                                   ⁢ 
                                   
                                     i 
                                     
                                       1 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 - 
                                 
                                   v 
                                   
                                     
                                       s 
                                       1 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     s 
                                     2 
                                   
                                   ⁢ 
                                   
                                     i 
                                     
                                       1 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 v 
                                 
                                   
                                     
                                       s 
                                       1 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       1 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     
                                       s 
                                       2 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       2 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 - 
                                 
                                   v 
                                   
                                     
                                       
                                         s 
                                         1 
                                       
                                       ⁢ 
                                       
                                         i 
                                         
                                           1 
                                           , 
                                           1 
                                         
                                       
                                     
                                     + 
                                     
                                       δ 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     
                                       s 
                                       2 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       2 
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 v 
                                 
                                   
                                     
                                       s 
                                       1 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       1 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     
                                       s 
                                       2 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       2 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 - 
                                 
                                   v 
                                   
                                     
                                       
                                         s 
                                         1 
                                       
                                       ⁢ 
                                       
                                         i 
                                         
                                           1 
                                           , 
                                           1 
                                         
                                       
                                     
                                     + 
                                     
                                       δ 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                 
                               
                               ⊗ 
                               
                                 u 
                                 
                                   
                                     
                                       s 
                                       2 
                                     
                                     ⁢ 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   + 
                                   
                                     δ 
                                     
                                       2 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                     
                       
 
                     
                     ⁢ 
                     ⋯ 
                     ⁢ 
                     
                       
 
                     
                     ⁢ 
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             1 
                           
                         
                         ⁢ 
                         
                           i 
                           
                             1 
                             , 
                             2 
                           
                         
                       
                       
                         ( 
                         7 
                         ) 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           7 
                           ⁢ 
                           Q 
                         
                       
                     
                     ⁢ 
                     
                         
                       
                         
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           s 
                                           1 
                                         
                                         ⁢ 
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           s 
                                           2 
                                         
                                         ⁢ 
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           s 
                                           1 
                                         
                                         ⁢ 
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           s 
                                           2 
                                         
                                         ⁢ 
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             1 
                                             , 
                                             3 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             3 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           s 
                                           1 
                                         
                                         ⁢ 
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           s 
                                           2 
                                         
                                         ⁢ 
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           s 
                                           2 
                                         
                                         ⁢ 
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             1 
                                             , 
                                             3 
                                           
                                         
                                       
                                     
                                     ⊗ 
                                     
                                       u 
                                       
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                         + 
                                         
                                           δ 
                                           
                                             2 
                                             , 
                                             3 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           ⁢ 
                           
                             
 
                           
                           ⁢ 
                           ⋯ 
                           ⁢ 
                           
                             
 
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 i 
                                 
                                   1 
                                   , 
                                   2 
                                 
                               
                             
                             
                               ( 
                               8 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 8 
                                 ⁢ 
                                 Q 
                               
                             
                           
                           ⁢ 
                           
                               
                             
                               [ 
                               
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               3 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               3 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               3 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               3 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             s 
                                             1 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             s 
                                             2 
                                           
                                           ⁢ 
                                           
                                             i 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               δ 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               δ 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               1 
                                               , 
                                               3 
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               3 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               δ 
                                               
                                                 1 
                                                 , 
                                                 3 
                                               
                                             
                                           
                                         
                                       
                                       ⊗ 
                                       
                                         u 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           + 
                                           
                                             δ 
                                             
                                               2 
                                               , 
                                               3 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
             
           
         
       
     
       FIG. 46  illustrates orthogonal beam grouping  4600  for rank 5-8: 16 ports according to some embodiments of the present disclosure. 
     For 16 ports, δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  are defined as the following Table 83. 
     
       
         
           
               
             
               
                 TABLE 83 
               
             
            
               
                   
               
               
                 Delta values for 16-port rank 5-8 codebooks 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                   
                 Antenna 
                   
                   
                   
                   
                   
                   
               
               
                   
                 configuration 
                 δ 1,1   
                 δ 2,1   
                 δ 1,2   
                 δ 2,2   
                 δ 1,3   
                 δ 2,3   
               
               
                   
                   
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 config = 4 
                 N 1  ≧ N 2   
                 O 1   
                 0 
                 2O 1   
                 0 
                 3O 1   
                 0 
               
               
                   
                 N 1  &lt; N 2   
                 0 
                 O 2   
                 0 
                 2O 2   
                 0 
                 3O 2   
               
               
                 config = 3 
                 N 1  ≧ N 2   
                 O 1   
                 0 
                 2O 1   
                 O 2   
                 3O 1   
                 O 2   
               
               
                   
                 N 1  &lt; N 2   
                 0 
                 O 2   
                 O 1   
                 2O 2   
                 O 1   
                 3O 2   
               
               
                 Config = 1, 2 
                 Both 
                 O 1   
                 0 
                 O 1   
                 O 2   
                 0 
                 O 2   
               
               
                   
               
            
           
         
       
     
       FIG. 47  illustrates example orthogonal beam grouping  4700  for rank 5-8: 12 ports according to embodiments of the present disclosure. 
     For 12 ports, δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  are defined as the following Table 84: 
     
       
         
           
               
             
               
                 TABLE 84 
               
             
            
               
                   
               
               
                 Delta values for 12-port rank 5-8 codebooks 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Type 
                 Configuration 
                 δ 1,1   
                 δ 2,1   
                 δ 1,2   
                 δ 2,2   
                 δ 1,3   
                 δ 2,3   
               
               
                   
               
               
                 Config = 4 
                 N 1  ≧ N 2   
                 O 1   
                 0 
                 2O 1   
                 0 
                 0 
                 O 2   
               
               
                   
                 N 1  &lt; N 2   
                 0 
                 O 2   
                 0 
                 2O 2   
                 O 1   
                 0 
               
               
                 Config = 3 
                 N 1  ≧ N 2   
                 O 1   
                 0 
                 2O 1   
                 O 2   
                 O 1   
                 O 2   
               
               
                   
                 N 1  &lt; N 2   
                 0 
                 O 2   
                 O 1   
                 2O 2   
                 O 1   
                 O 2   
               
               
                 Config = 1, 
                 Both 
                 O 1   
                 0 
                 O 1   
                 O 2   
                 0 
                 O 2   
               
               
                 2 
               
               
                   
               
            
           
         
       
     
       FIG. 48  illustrates example orthogonal beam grouping  4800  for rank 5-8: 8 ports according to embodiments of the present disclosure. 
     For 8 ports, δ 1,1 , δ 1,2 , δ 1,3 , δ 2,1 , δ 2,2 , δ 2,3  are defined as the following Table 85: 
     
       
         
           
               
             
               
                 TABLE 85 
               
             
            
               
                   
               
               
                 Delta values for 8-port rank 5-8 codebooks 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 Type 
                 Configuration 
                 δ 1,1   
                 δ 2,1   
                 δ 1,2   
                 δ 2,2   
                 δ 1,3   
                 δ 2,3   
               
               
                   
               
               
                 Config = 1, 
                 N 1  = N2 
                 O 1   
                 0 
                 O 1   
                 O 2   
                 0 
                 O 2   
               
               
                 2, 3, 4 
               
               
                   
               
            
           
         
       
     
     Embodiment on Separate Codebook of Each Config 
     In some embodiment, the rank 1-8 codebook tables can be alternatively written as four separate rank 1-8 codebook tables in their respective tables, one for each of Config 1, Config 2, Config 3, and Config 4. 
     For instance, the rank-1 codebook for Config 1 according to the master codebook table in Table 75 can be written alternatively according to the first codebook table in Table 87; the rank-1 codebook for Config 2 according to the master codebook table in Table 75 can be written alternatively according to the second codebook table in Table 87; the rank-1 codebook for Config 3 according to the master codebook table in Table 75 can be written alternatively according to the third codebook table in Table 87; and the rank-1 codebook for Config 4 according to the master codebook table in Table 75 can be written alternatively according to the fourth codebook table in Table 87. 
     The separate codebook tables for rank 2-8 can be constructed similarly. 
     In some embodiment, for 8 antenna ports {15,16,17,18,19,20,21,22}, 12 antenna ports {15,16,17,18,19,20,21,22,23,24,25,26} 16 antenna ports {15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30}, and UE configured with higher layer parameter CSI-Reporting-Type, and CSI-Reporting Type is set to ‘CLASS A’, each PMI value corresponds to three codebook indices (i 1,1 ,i 1,2 ,i 2 ) given in Table 87, Table 88, Table 89, Table 90, Table 91, Table 92, Table 93, or Table 94, where the quantities φ n , u m  and v i,m  are given by 
     
       
         
           
             
               φ 
               n 
             
             = 
             
               ⅇ 
               
                 j 
                 ⁢ 
                 
                     
                 
                 ⁢ 
                 π 
                 ⁢ 
                 
                     
                 
                 ⁢ 
                 n 
                 ⁢ 
                 
                   / 
                 
                 ⁢ 
                 2 
               
             
           
         
       
       
         
           
             
               u 
               m 
             
             = 
             
               
                 [ 
                 
                   1 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           2 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           m 
                         
                         
                           
                             O 
                             2 
                           
                           ⁢ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   … 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   
                     ⅇ 
                     
                       j 
                       ⁢ 
                       
                         
                           2 
                           ⁢ 
                           π 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             m 
                             ⁡ 
                             
                               ( 
                               
                                 
                                   N 
                                   2 
                                 
                                 - 
                                 1 
                               
                               ) 
                             
                           
                         
                         
                           
                             O 
                             2 
                           
                           ⁢ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
                 ] 
               
               T 
             
           
         
       
       
         
           
             
               v 
               
                 l 
                 , 
                 m 
               
             
             = 
             
               
                 
                   [ 
                   
                     
                       u 
                       m 
                     
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             2 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             l 
                           
                           
                             
                               O 
                               1 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                         
                       
                     
                     ⁢ 
                     
                       u 
                       m 
                     
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     … 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       ⅇ 
                       
                         j 
                         ⁢ 
                         
                           
                             2 
                             ⁢ 
                             π 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               l 
                               ⁡ 
                               
                                 ( 
                                 
                                   
                                     N 
                                     1 
                                   
                                   - 
                                   1 
                                 
                                 ) 
                               
                             
                           
                           
                             
                               O 
                               1 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                         
                       
                     
                     ⁢ 
                     
                       u 
                       m 
                     
                   
                   ] 
                 
                 T 
               
               . 
             
           
         
       
     
     The values of N 1 , N 2 , O 1 , and O 2  are configured with the higher-layer parameters Codebook-Config-N1, Codebook-Config-N2, Codebook-Over-Sampling-RateConfig-O1, and Codebook-Over-Sampling-RateConfig-O2, respectively. The supported configurations of (O 1 ,O 2 ) and (N 1 ,N 2 ) for a given number of CSI-RS ports are given in Table 86. The number of CSI-RS ports, P, is 2N 1 N 2 . 
     UE is not expected to be configured with value of CodebookConfig set to 2 or 3, if the value of codebookConfigN2 is set to 1. 
     UE shall only use i 1,2 =0 and shall not report i 1,2  if the value of codebookConfigN2 is set to 1. 
     A first PMI value i 1  corresponds to the codebook indices pair {i 1,1 , i 1,2 }, and a second PMI value i 2  corresponds to the codebook index i 2  given in Table j with v equal to the associated RI value and where j=v+62. 
     In some cases codebook subsampling is supported. The sub-sampled codebook for PUCCH mode 2-1 for value of parameter Codebook-Config set to 2, 3, or 4 is defined in Table 7.2.2-1F for PUCCH Reporting Type 1a of the specification TS36.213. 
     In some cases codebook subsampling is supported. For instance, the sub-sampled codebook for PUCCH mode 2-1 for value of parameter Codebook-Config set to 2, 3, or 4 is defined according to that for the legacy 8-Tx codebook. For Codebook-Config=1, no subsampling is done for i 2 . 
     
       
         
           
               
             
               
                 TABLE 86 
               
             
            
               
                   
               
               
                 Supported configurations of (O 1 , O 2 )and (N 1 , N 2 ) 
               
            
           
           
               
               
               
            
               
                 Number of 
                   
                   
               
               
                 CSI-RS antenna ports, P 
                 (N 1 , N 2 ) 
                 (O 1 , O 2 ) 
               
               
                   
               
            
           
           
               
               
               
            
               
                 8 
                 (2, 2) 
                 (4, 4), (8, 8) 
               
               
                 12 
                 (2, 3) 
                 (8, 4), (8, 8) 
               
               
                   
                 (3, 2) 
                 (8, 4), (4, 4) 
               
               
                 16 
                 (2, 4) 
                 (8, 4), (8, 8) 
               
               
                   
                 (4, 2) 
                 (8, 4), (4, 4) 
               
               
                   
                 (8, 1) 
                 (4, —), (8, —) 
               
               
                   
               
            
           
         
       
     
     Please see the below Table Section for Tables 87-1 to 87-4. 
     Please see the below Table Section for Tables 88-1 to 88-4. 
     Please see the below Table Section for Tables 89-1 to 89-5. 
     Please see the below Table Section for Tables 90-1 to 90-6. 
     Please see the below Table Section for Tables 91-1 to 91-4. 
     Please see the below Table Section for Tables 92-1 to 92-4. 
     Please see the below Table Section for Tables 93-1 to 93-5. 
     Please see the below Table Section for Tables 94-1 to 94-5. 
     In an alternate embodiment, the rank 1-8 codebook tables are given as in Tables 95-1 to 95-3, Tables 96-1 to 96-4, Table 97-1 to 97-4, Tables 98-1 to 98-4, Table 99, Table 100, Table 101, and Table 102. 
     Please see the below Table Section for Tables 95-1 to 95-3. 
     Please see the below Table Section for Tables 96-1 to 96-4. 
     Please see the below Table Section for Tables 97-1 to 97-4. 
     Please see the below Table Section for Tables 98-1 to 98-4. 
     Please see the below Table Section for Table 99. 
     Please see the below Table Section for Table 100. 
     Please see the below Table Section for Table 101. 
     Please see the below Table Section for Table 102. 
     Embodiment on rank 5-8 codebook for 1D port layout 
     In some embodiments, the rank 5-8 codebooks in case of the 1D port layouts such as (N 1 ,N 2 )=(6,1), (8,1), (1,6) and (1,8), the 1D orthogonal beam groups are used for different Codebook-Config values including Codebook-Config=1,2,3,4. 
     In one example of N 2 =1, the same orthogonal beam group is used irrespective of whether Codebook-Config=1 or 4 for rank 5-8 codebooks. An example of the orthogonal beam group is shown in  FIG. 49 . 
       FIG. 49  illustrates an example of orthogonal beam group for 1D port layout according to embodiments of the present disclosure. 
     In another example of N 2 =1, the different orthogonal beam groups are used for Codebook-Config=1 and 4 for rank 5-8 codebooks. An example of the orthogonal beam group is shown in  FIG. 50 . 
       FIG. 50  illustrates an example of orthogonal beam group  5000  for 1D port layout according to embodiments of the present disclosure. 
     In another example of N 2 =1, the same orthogonal beam group is used irrespective of whether Codebook-Config=1, 2, 3 or 4 for rank 5-8 codebooks. An example of the orthogonal beam group is shown in  FIG. 51 . 
       FIG. 51  illustrates an example of orthogonal beam group  5100  for 1D port layout according to embodiments of the present disclosure. 
     In another example of N 2 =1, the different orthogonal beam groups are used for Codebook-Config=1 and 4 for rank 5-8 codebooks. An example of the orthogonal beam group is shown in  FIG. 52 . 
       FIG. 52  illustrates an example of orthogonal beam group  5200  for 1D port layout according to embodiments of the present disclosure. 
     These Codebook-Config to orthogonal beam group mappings are for illustration only, and they can be mapped to other orthogonal beam groups including the ones shown here or not shown. 
     Other rank 3-8 codebook design alternatives 
     In some embodiments, rank 3-8 codebooks can be constructed according to alternative master codebook alternatives 1-4 shown in  FIG. 53 ,  FIG. 54 ,  FIG. 55 , and  FIG. 56 , according to some embodiments of this disclosure. 
       FIGS. 53A and 53B  illustrate an alternate rank 3-8 codebook design 1  5300 A,  5300 B: (L 1 ,L 2 )=(4,2) according to embodiments of the present disclosure. 
       FIG. 54  illustrates an alternate rank 3-8 codebook design 2  5400 : (L 1 ,L 2 )=(4,1) according to embodiments of the present disclosure. 
       FIGS. 55A and 55B  illustrate an alternate rank 3-8 codebook design 3  5500 A,  5500 B: (L 1 ,L 2 )=(2,2) according to embodiments of the present disclosure. 
       FIGS. 56A and 56B  illustrate an alternate rank 3-8 codebook design 4  5600 A,  5600 B: (L 1 ,L 2 )=(2,1) according to embodiments of the present disclosure. 
     To aid the Patent Office and any readers of any patent issued on this application in interpreting the claims appended hereto, applicants wish to note that they do not intend any of the appended claims or claim elements to invoke 35 U.S.C. §112(f) unless the words “means for” or “step for” are explicitly used in the particular claim. Use of any other term, including without limitation “mechanism,” “module,” “device,” “unit,” “component,” “element,” “member,” “apparatus,” “machine,” “system,” “processor,” or “controller,” within a claim is understood by the applicants to refer to structures known to those skilled in the relevant art and is not intended to invoke 35 U.S.C. §112(f). 
     Although the present disclosure has been described with an exemplary embodiment, various changes and modifications may be suggested to one skilled in the art. It is intended that the present disclosure encompass such changes and modifications as fall within the scope of the appended claims. 
     Table Section 
     
       
         
           
               
             
               
                 TABLE 9 
               
               
                   
               
               
                 Single rank 2 codebook table for N 1  = 8, N 2  = 2, o 1  = o 2  = 4: 
               
               
                 Beam group type 1, Example 1 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +1, 2i     1,V     , 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +1, 2i     1,V     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     , 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     , 2i     1,V     +1, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +1, 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +1, 2i     1,V     +1, 1   (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁢ 
                           
                               
                             
                               [ 
                               
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             m 
                                             ′ 
                                           
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           
                                             m 
                                             ′ 
                                           
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             
                                               m 
                                               ′ 
                                             
                                             H 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             
                                               m 
                                               ′ 
                                             
                                             V 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 1   
                 i 1,H   
                 i 1,V   
               
               
                   
               
               
                 0-7 
                 0-7 
                 0 
               
               
                  8-15 
                 0-7 
                 1 
               
               
                 16-23 
                 0-7 
                 2 
               
               
                 24-31 
                 0-7 
                 3 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
               
                   
               
               
                 Single rank 2 codebook table for N 1  = 8, N 2  = 2, o 1  = o 2  = 4: 
               
               
                 Beam group type 1 and Beam group Type 4 Alt 1 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +1, 2i     1,V     , 0   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
            
               
                 i 1   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +1, 2i     1,V     , 1   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     , 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     , 2i     1,V     +1, 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
            
               
                 i 1   
                 6 
                 7 
                 8 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +1, 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +1, 2i     1,V     +1, 1   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +8, 2i     1,V     +4, 0   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
            
               
                 i 1   
                 9 
                 10 
                 11 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +8, 2i     1,V     +4, 1   (2)   
                 W 2i     1,H     +1,   2i     1,V     , 2i     1,H     +9, 2i     1,V     +4, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +9, 2i     1,V     +4, 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
            
               
                   
                 12 
                 13 
                 14 
               
               
                   
               
               
                   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     +8, 2i     1,V     +5, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     +8, 2i     1,V     +5, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +9, 2i     1,V     +5, 0   (2)   
               
               
                   
               
               
                   
                   
                   
                 i 2   
               
               
                   
                   
                 i 1   
                 15 
               
               
                   
               
               
                   
                   
                 0-31 
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +9, 2i     1,V     +5, 1   (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 
                                   m 
                                   H 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                 
                                 , 
                                 
                                   m 
                                   H 
                                   ′ 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                   ′ 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               4 
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             mV 
                                             V 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                             ′ 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 1   
                 i 1,H   
                 i 1,V   
               
               
                   
               
               
                 0-7 
                 0-7 
                 0 
               
               
                  8-15 
                 0-7 
                 1 
               
               
                 16-23 
                 0-7 
                 2 
               
               
                 24-31 
                 0-7 
                 3 
               
               
                   
               
            
           
         
       
     
     Tables 11-1 to 11-3: Two rank 2 codebook tables for N 1 =8, N 2 =2, o 1 =o 2 =4 
     
       
         
           
               
             
               
                 TABLE 11-1 
               
               
                   
               
               
                 A first beam group type (type 1) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +1, 2i     1,V     , 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +1, 2i     1,V     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     , 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     , 2i     1,V     +1, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +1, 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +1, 2i     1,V     +1, 1   (2)   
               
               
                   
               
               
                 
                   
                     
                       
                           
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 
                                   m 
                                   H 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                 
                                 , 
                                 
                                   m 
                                   H 
                                   ′ 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                   ′ 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               4 
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                             ′ 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 11-2 
               
               
                   
               
               
                 A second beam group type (type 4 Alt 1) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method 1: 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +8, 2i     1,V     +4, 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +8, 2i     1,V     +4, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +9, 2i     1,V     +4, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +9, 2i     1,V     +4, 1   (2)   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method 1: 
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     +8, 2i     1,V     +5, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     +8, 2i     1,V     +5, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +9, 2i     1,V     +5, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +9, 2i     1,V     +5, 1   (2)   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
               
                 
                   
                     
                       
                           
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 
                                   m 
                                   H 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                 
                                 , 
                                 
                                   m 
                                   H 
                                   ′ 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                   ′ 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               4 
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                             ′ 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 11-3 
               
             
            
               
                   
               
               
                 i 1  to (i 1H , i 1V ) mapping 
               
            
           
           
               
               
               
               
            
               
                   
                 Method 2 
                   
                   
               
               
                 Method 1 
                 i 1  (across the 
                   
                   
               
               
                 i 1  (in each table) 
                 two tables) 
                 i 1,H   
                 i 1,V   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 0-7 (the first table/beam group) 
                 0-7 
                 0-7 
                 0 
               
               
                 8-15 (the first table/beam group) 
                  8-15 
                 0-7 
                 1 
               
               
                 16-23 (the first table/beam group) 
                 16-23 
                 0-7 
                 2 
               
               
                 24-31 (the first table/beam group) 
                 24-31 
                 0-7 
                 3 
               
               
                 0-7 (the second table/beam group) 
                 32-39 
                 0-7 
                 0 
               
               
                 8-15 (the second table/beam group) 
                 40-47 
                 0-7 
                 1 
               
               
                   
               
            
           
         
       
     
     Tables 12-1 to 12-3: Three rank 2 codebook tables for N 1 =8, N 2 =2, o 1 =o 2 =4 
     
       
         
           
               
             
               
                 TABLE 12-1 
               
               
                   
               
               
                 A first beam group type (type 1) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +1, 2i     1,V     , 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +1, 2i     1,V     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 0-31 
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     , 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,V     +1, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +1, 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +1, 2i     1,V     +1, 1   (2)   
               
               
                   
               
               
                 
                   
                     
                       
                           
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 
                                   m 
                                   H 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                 
                                 , 
                                 
                                   m 
                                   H 
                                   ′ 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                   ′ 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               4 
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                             ′ 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12-2 
               
               
                   
               
               
                 A second beam group type (type 4 Alt 1) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method 1: 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +4, 2i     1,V     +4, 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +4, 2i     1,V     +1, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +5, 2i     1,V     +4, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +5, 2i     1,V     +4, 1   (2)   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method 1: 
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     +4, 2i     1,V     +5, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     +4, 2i     1,V     +5, 1   (2)   
                 W 2i     1,H     +1, 2     i1,V     +1, 2i     1,H     +5, 2i     1,V     +5, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +5, 2i     1,V     +5, 1   (2)   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
               
                 
                   
                     
                       
                           
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 
                                   m 
                                   H 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                 
                                 , 
                                 
                                   m 
                                   H 
                                   ′ 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                   ′ 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               4 
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                             ′ 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12-3 
               
               
                   
               
               
                 A third beam group type (type 4 Alt 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method 1: 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +12, 2i     1,V     +4, 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +12, 2i     1,V     +4, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +13, 2i     1,V     +4, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     , 2i     1,H     +13, 2i     1,V     +4, 1   (2)   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 48-63 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method 1: 
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     +12, 2i     1,V     +5, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1, 2i     1,H     +12, 2i     1,V     +5, 1   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +13, 2i     1,V     +5, 0   (2)   
                 W 2i     1,H     +1, 2i     1,V     +1, 2i     1,H     +13, 2i     1,V     +5, 1   (2)   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 48-63 
               
               
                   
               
               
                 
                   
                     
                       
                           
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 
                                   m 
                                   H 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                 
                                 , 
                                 
                                   m 
                                   H 
                                   ′ 
                                 
                                 , 
                                 
                                   m 
                                   V 
                                   ′ 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               4 
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         
                                           v 
                                           
                                             m 
                                             H 
                                             ′ 
                                           
                                         
                                         ⊗ 
                                         
                                           v 
                                           
                                             m 
                                             V 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 12-4 
               
             
            
               
                   
               
               
                 i 1  to (i 1H , i 1V ) mapping 
               
            
           
           
               
               
               
               
            
               
                   
                 Method 2 
                   
                   
               
               
                 Method 1 
                 i 1  (across the 
                   
                   
               
               
                 i 1  (in each table) 
                 three tables) 
                 i 1,H   
                 i 1,V   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 0-7 (the first table/beam group) 
                 0-7 
                 0-7 
                 0 
               
               
                 8-15 (the first table/beam group) 
                  8-15 
                 0-7 
                 1 
               
               
                 16-23 (the first table/beam group) 
                 16-23 
                 0-7 
                 2 
               
               
                 24-31 (the first table/beam group) 
                 24-31 
                 0-7 
                 3 
               
               
                 0-7 (the second table/beam group) 
                 32-39 
                 0-7 
                 0 
               
               
                 8-15 (the second table/beam group) 
                 40-47 
                 0-7 
                 1 
               
               
                 0-7 (the third table/beam group) 
                 48-55 
                 0-7 
                 0 
               
               
                 8-15 (the third table/beam group) 
                 56-63 
                 0-7 
                 1 
               
               
                   
               
            
           
         
       
     
     Table 13-1 to 13-4: Three rank 2 codebook tables for N 1 =8, N 2 =2, o 1 =o 2 =4 
     
       
         
           
               
             
               
                 TABLE 13-1 
               
               
                   
               
             
            
               
                 A first beam group type (type 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 0-31 
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     ,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     ,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     ,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     ,1   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 0-31 
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     ,2i     1,V     +1,0   
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     ,2i     1,V     +1,1   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +1,2i     1,V     +1,0   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +1,2i     1,V     +1,1   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 13-2 
               
               
                   
               
             
            
               
                 A second beam group type (type 2 Alt 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     +8,2i     1,V     ,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     +8,2i     1,V     ,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +9,2i     1,V     ,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +92i     1,V     ,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     +8,2i     1,V     +1,0   
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     +8,2i     1,V     +1,1   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +9,2i     1,V     +1,0   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +9,2i     1,V     +1,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 13-3 
               
               
                   
               
             
            
               
                 A third beam group type (type 4 Alt 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method:1 
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     +8,2i     1,V     +4,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     +8,2i     1,V     +4,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +9,2i     1,V     +4,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +9,2i     1,V     +4,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 48-63 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method:1 
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     +8,2i     1,V     +5,0   
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     +8,2i     1,V     +5,1   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +9,2i     1,V     +5,0   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +9,2i     1,V     +5,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 48-63 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 13-4 
               
             
            
               
                   
               
               
                 i 1  to (i 1H , i 1V ) mapping 
               
            
           
           
               
               
               
               
            
               
                   
                 Method 2 
                   
                   
               
               
                 Method 1 
                 i 1  (across the 
                   
                   
               
               
                 i 1  (in each table) 
                 three tables) 
                 i 1,H   
                 i 1,V   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 0-7 (the first table/beam group) 
                 0-7 
                 0-7 
                 0 
               
               
                 8-15 (the first table/beam group) 
                  8-15 
                 0-7 
                 1 
               
               
                 16-23 (the first table/beam group) 
                 16-23 
                 0-7 
                 2 
               
               
                 24-31 (the first table/beam group) 
                 24-31 
                 0-7 
                 3 
               
               
                 0-3 (the second table/beam group) 
                 32-35 
                 0-3 
                 0 
               
               
                 4-7 (the second table/beam group) 
                 36-39 
                 0-3 
                 1 
               
               
                 8-11 (the second table/beam group) 
                 40-43 
                 0-3 
                 2 
               
               
                 12-15 (the second table/beam group) 
                 44-47 
                 0-3 
                 3 
               
               
                 0-7 (the third table/beam group) 
                 48-55 
                 0-7 
                 0 
               
               
                 8-15 (the third table/beam group) 
                 56-63 
                 0-7 
                 1 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14-1 
               
               
                   
               
             
            
               
                 A first beam group type (type 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 0-31 
                 W (2)   2i     1,H     ,2i     1,V     2i     1,H     ,2i     1,V     ,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     ,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     ,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     ,1   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 0-31 
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     ,2i     1,V     +1,0   
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     ,2i     1,V     +1,1   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +1,2i     1,V     +1,0   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +1,2i     1,V     +1,1   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14-2 
               
               
                   
               
             
            
               
                 A second beam group type (type 3 Alt 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     +4,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     +4,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     +4,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     +4,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     ,2i     1,V     +5,0   
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     ,2i     1,H     ,2i     1,V     +5,1   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +1,2i     1,V     +5,0   
                 W (2)   2i     1,H     +1,2i     1,V     +12i     1,H     +12i     1,V     +5,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14-3 
               
               
                   
               
             
            
               
                 A third beam group type (type 4 Alt 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     +8,2i     1,V     +4,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     +8,2i     1,V     +4,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +9,2i     1,V     +4,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +9,2i     1,V     +4,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 48-63 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     +8,2i     1,V     +5,0   
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     +8,2i     1,V     +5,1   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +9,2i     1,V     +5,0   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +9,2i     1,V     +5,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 48-63 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14-4 
               
             
            
               
                   
               
               
                 i 1  to (i 1H , i 1V ) mapping 
               
            
           
           
               
               
               
               
            
               
                   
                 Method 2 
                   
                   
               
               
                 Method 1 
                 i 1  (across the 
                   
                   
               
               
                 i 1  (in each table) 
                 three tables) 
                 i 1,H   
                 i 1,V   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 0-7 (the first table/beam group) 
                 0-7 
                 0-7 
                 0 
               
               
                 8-15 (the first table/beam group) 
                  8-15 
                 0-7 
                 1 
               
               
                 16-23 (the first table/beam group) 
                 16-23 
                 0-7 
                 2 
               
               
                 24-31 (the first table/beam group) 
                 24-31 
                 0-7 
                 3 
               
               
                 0-7 (the second table/beam group) 
                 32-39 
                 0-7 
                 0 
               
               
                 8-15 (the second table/beam group) 
                 40-47 
                 0-7 
                 1 
               
               
                 0-7 (the third table/beam group) 
                 48-55 
                 0-7 
                 0 
               
               
                 8-15 (the third table/beam group) 
                 56-63 
                 0-7 
                 1 
               
               
                   
               
            
           
         
       
     
     Tables 15-1 to 15-4 Three rank 2 codebook tables for N 1 =8, N 2 =2, o 1 =o 2 =4 
     
       
         
           
               
             
               
                 TABLE 15-1 
               
               
                   
               
             
            
               
                 A first beam group type (type 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 0-31 
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     ,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     ,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     ,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     ,1   
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 0-31 
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     ,2i     1,V     +1,0   
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     ,2i     1,V     +1,1   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +1,2i     1,V     +1,0   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +12i     1,V     +1,1   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 15-2 
               
               
                   
               
             
            
               
                 A second beam group type (type 2 Alt 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     +8,2i     1,V     ,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     +8,2i     1,V     ,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +9,2i     1,V     ,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +9,2i     1,V     ,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     +8,2i     1,V     +1,0   
                 W (2)   2i     1,H     ,2i     1,V     +1,2i     1,H     +8,2i     1,V     +1,1   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +9,2i     1,V     +1,0   
                 W (2)   2i     1,H     +1,2i     1,V     +1,2i     1,H     +9,2i     1,V     +1,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 32-47 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 15-3 
               
               
                   
               
             
            
               
                 A third beam group type (type 3 Alt 1) 
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     +4,0   
                 W (2)   2i     1,H     ,2i     1,V     ,2i     1,H     ,2i     1,V     +4,1   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     +4,0   
                 W (2)   2i     1,H     +1,2i     1,V     ,2i     1,H     +1,2i     1,V     +4,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 48-63 
               
               
                   
               
            
           
           
               
               
            
               
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 Method 1: 
                 W (2)   2i1,H,2i1,V+1,2i1,H,2i1,V+5,0   
                 W (2)   2i1,H,2i1,V+1,2i1,H,2i1,V+5,1   
                 W (2)   2i1,H+1,2i1,V+1,2i1,H+1,2i1,V+5,0   
                 W (2)   2i1,H+1,2i1,V+1,2i1,H+1,2i1,V+5,1   
               
               
                 0-15 
                   
                   
                   
                   
               
               
                 Method 2: 
                   
                   
                   
                   
               
               
                 48-63 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               
                                 m 
                                 H 
                               
                               , 
                               
                                 m 
                                 V 
                               
                               , 
                               
                                 m 
                                 H 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 V 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             4 
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         H 
                                         ′ 
                                       
                                     
                                     ⊗ 
                                     
                                       v 
                                       
                                         m 
                                         V 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       
                                         v 
                                         
                                           m 
                                           H 
                                           ′ 
                                         
                                       
                                       ⊗ 
                                       
                                         v 
                                         
                                           m 
                                           V 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 15-4 
               
             
            
               
                   
               
               
                 i 1  to (i 1H , i 1V ) mapping 
               
            
           
           
               
               
               
               
            
               
                   
                 Method 2 
                   
                   
               
               
                 Method 1 
                 i 1  (across the 
                   
                   
               
               
                 i 1  (in each table) 
                 three tables) 
                 i 1,H   
                 i 1,V   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 0-7 (the first table/beam group) 
                 0-7 
                 0-7 
                 0 
               
               
                 8-15 (the first table/beam group) 
                  8-15 
                 0-7 
                 1 
               
               
                 16-23 (the first table/beam group) 
                 16-23 
                 0-7 
                 2 
               
               
                 24-31 (the first table/beam group) 
                 24-31 
                 0-7 
                 3 
               
               
                 0-3 (the second table/beam group) 
                 32-35 
                 0-3 
                 0 
               
               
                 4-7 (the second table/beam group) 
                 36-39 
                 0-3 
                 1 
               
               
                 8-11 (the second table/beam group) 
                 40-43 
                 0-3 
                 2 
               
               
                 12-15 (the second table/beam group) 
                 44-47 
                 0-3 
                 3 
               
               
                 0-7 (the third table/beam group) 
                 48-55 
                 0-7 
                 0 
               
               
                 8-15 (the third table/beam group) 
                 56-63 
                 0-7 
                 1 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 19 
               
               
                   
               
               
                 Master codebook for 2 layer CSI reporting for L 1  = L 2  = 4 (Option 1) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     , s     2     i     1,V     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     , s     2     i     1,V     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +2p     2     , s     1     i     1,H     , s     2     i     1,V     +2p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +2p     2     , s     1     i     1,H     , s     2     i     1,V     +2p     2     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 8-15 
               
               
                   
               
               
                 Precoder 
                 Entries 8-15 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + p 1  in entries 0-15. 
               
               
                   
               
               
                 i 2   
                 16-23 
               
               
                   
               
               
                 Precoder 
                 Entries 16-23 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + 2p 1  in entries 0-15. 
               
               
                   
               
               
                 i 2   
                 24-31 
               
               
                   
               
               
                 Precoder 
                 Entries 24-31 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + 3p 1  in entries 0-15. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 32 
                 33 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     , s     2     i     1,V     +p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     , s     2     i     1,V     +p     2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 36 
                 37 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     , s     2     i     1,V     +3p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     , s     2     i     1,V     +3p     2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 40 
                 41 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     , s     2     i     1,V     +2p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     , s     2     i     1,V     +2p     2     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 44-55 
               
               
                   
               
               
                 Precoder 
                 Entries 44-55 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + p 1  in entries 32-43. 
               
               
                   
               
               
                 i 2   
                 56-67 
               
               
                   
               
               
                 Precoder 
                 Entries 55-67 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + 2p 1  in entries 32-43. 
               
               
                   
               
               
                 i 2   
                 68-79 
               
               
                   
               
               
                 Precoder 
                 Entries 68-79 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + 3p 1  in entries 32-43. 
               
               
                   
               
               
                 i 2   
                 80-127 
               
               
                   
               
               
                 Precoder 
                 Entries 80-127 constructed similar to entries 32-79 in the other dimension. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 128 
                 129 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     +p     1     , s     2     i     1,V     +p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     , s     1     i     1,H     +p     1     , s     2     i     1,V     +p     2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 132 
                 133 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +2p     2     , s     1     i     1,H     +p     1     , s     2     i     1,V     +3p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +2p     2     , s     1     i     1,H     +p     1     , s     2     i     1,V     +3p     2     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 136-159 
               
               
                   
               
               
                 Precoder 
                 Entries 136-159 constructed similar to entries 128-135 by considering remaining +45 degree closest diagonal pairs. 
               
               
                   
               
               
                 i 2   
                 160-191 
               
               
                   
               
               
                 Precoder 
                 Entries 160-191 constructed similar to entries 128-159 by considering −45 degree closest diagonal pairs. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +p     2     , s     1     i     1,H     , s     2     i     1,V     +p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +p     2     , s     1     i     1,H     , s     2     i     1,V     +p     2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +3p     2     , s     1     i     1,H     , s     2     i     1,V     +3p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +3p     2     , s     1     i     1,H     , s     2     i     1,V     +3p     2     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 8-15 
               
               
                   
               
               
                 Precoder 
                 Entries 8-15 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + p 1  in entries 0-15. 
               
               
                   
               
               
                 i 2   
                 16-23 
               
               
                   
               
               
                 Precoder 
                 Entries 16-23 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + 2p 1  in entries 0-15. 
               
               
                   
               
               
                 i 2   
                 24-31 
               
               
                   
               
               
                 Precoder 
                 Entries 24-31 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + 3p 1  in entries 0-15. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 34 
                 35 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +p     2     , s     1     i     1,H     , s     2     i     1,V     +2p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +p     2     , s     1     i     1,H     , s     2     i     1,V     +2p     2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 38 
                 39 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +p     2     , s     1     i     1,H     , s     2     i     1,V     +3p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +p     2     , s     1     i     1,H     , s     2     i     1,V     +3p     2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 42 
                 43 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +2p     2     , s     1     i     1,H     , s     2     i     1,V     +3p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +2p     2     , s     1     i     1,H     , s     2     i     1,V     +3p     2     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 44-55 
               
               
                   
               
               
                 Precoder 
                 Entries 44-55 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + p 1  in entries 32-43. 
               
               
                   
               
               
                 i 2   
                 56-67 
               
               
                   
               
               
                 Precoder 
                 Entries 55-67 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + 2p 1  in entries 32-43. 
               
               
                   
               
               
                 i 2   
                 68-79 
               
               
                   
               
               
                 Precoder 
                 Entries 68-79 constructed with replacing the first and third subscripts s 1 i 1,H  with s 1 i 1,H  + 3p 1  in entries 32-43. 
               
               
                   
               
               
                 i 2   
                 80-127 
               
               
                   
               
               
                 Precoder 
                 Entries 80-127 constructed similar to entries 32-79 in the other dimension. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 130 
                 131 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +p     2     , s     1     i     1,H     +p     1     , s     2     i     1,V     +2p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +p     2     , s     1     i     1,H     +p     1     , s     2     i     1,V     +2p     2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 134 
                 135 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,H     , s     2     i     1,V     +3p     2     , s     1     i     1,H     +p     1     , s     2     i     1,V     +p     2     , 0   (2)   
                 W s     1     i     1,H     , s     2     i     1,V     +3p     2     , s     1     i     1,H     +p     1     , s     2     i     1,V     +p     2     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 136-159 
               
               
                   
               
               
                 Precoder 
                 Entries 136-159 constructed similar to entries 128-135 by considering remaining +45 degree closest diagonal pairs. 
               
               
                   
               
               
                 i 2   
                 160-191 
               
               
                   
               
               
                 Precoder 
                 Entries 160-191 constructed similar to entries 128-159 by considering −45 degree closest diagonal pairs. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 20 
               
               
                   
               
               
                 Alternate master codebook for 2 layer CSI reporting (s 1  = s 2  = 2 and p 1  = p 2  = 1) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     , 2i     1,V     +2, 2i     1,H     , 2i     1,V     +2, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +2, 2i     1,H     , 2i     1,V     +2, 1   (2)   
               
               
                   
               
               
                 i 2   
                 8 
                 9 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     +1, 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     +1,1   (2)   
               
               
                   
               
               
                 i 2   
                 12 
                 13 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     +3, 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     , 2i     1,V     +3, 1   (2)   
               
               
                   
               
               
                 i 2   
                 16 
                 17 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     +1,2i     1,V     +1,2i     1,H     +1,2i     1,V     +1, 0   (2)   
                 W 2i     1,H     +1,2i     1,V     +1,2i     1,H     +1,2i     1,V     +1,1   (2)   
               
               
                   
               
               
                 i 2   
                 20 
                 21 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     +1,2i     1,V     , 2i     1,H     +1,2i     1,V     +1, 0   (2)   
                 W 2i     1,H     +1,2i     1,V     , 2i     1,H     +1,2i     1,V     +1,1   (2)   
               
               
                   
               
               
                 i 2   
                 24 
                 25 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     +1,2i     1,V     , 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     +1,2i     1,V     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 28 
                 29 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     +2, 2i     1,V     , 2i     1,H     +2, 2i     1,V     , 0   (2)   
                 W 2i     1,H     +2, 2i     1,V     , 2i     1,H     +2, 2i     1,V     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 32 
                 33 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +1,2i     1,V     , 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +1,2i     1,V     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 36 
                 37 
               
               
                   
               
               
                 Precoder 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +3, 2i     1,V     , 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +3, 2i     1,V     , 1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 i 2   
                 2 
                 3 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     ,2i     1,V     +1, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     , 2i     1,V     +1,1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 6 
                 7 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     , 2i     1,V     +3, 2i     1,H     , 2i     1,V     +3, 0   (2)   
                 W 2i     1 H     , 2i     1,V     +3, 2i     1,H     , 2i     1,V     +3, 1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 10 
                 11 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     , 2i     1,V     +2, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     , 2i     1,V     +2, 1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 14 
                 15 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     , 2i     1,V     +3, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     , 2i     1,V     +3, 1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 18 
                 19 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     +1,2i     1,V     +1, 0   (2)   
                 W 2i     1,H     , 2i     1,V     +1,2i     1,H     +1,2i     1,V     +1,1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 22 
                 23 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +1,2i     1,V     +1, 0   (2)   
                 W 2i     1,H     , 2i     1,V     , 2i     1,H     +1,2i     1,V     +1,1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 26 
                 27 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     +1,2i     1,V     , 2i     1,H     +1,2i     1,V     , 0   (2)   
                 W 2i     1,H     +1,2i     1,V     , 2i     1,H     +1,2i     1,V     , 1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 30 
                 31 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     +3, 2i     1,V     , 2i     1,H     +3, 2i     1,V     , 0   (2)   
                 W 2i     1,H     +3, 2i     1,V     , 2i     1,H     +3, 2i     1,V     , 1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 34 
                 35 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     +1,2i     1,V     , 2i     1,H     +2, 2i     1,V     , 0   (2)   
                 W 2i     1,H     +1,2i     1,V     , 2i     1,H     +2, 2i     1,V     , 1   (2)   
               
               
                   
               
               
                   
                 i 2   
                 38 
                 39 
               
               
                   
               
               
                   
                 Precoder 
                 W 2i     1,H     +1,2i     1,V     , 2i     1,H     +3, 2i     1,V     , 0   (2)   
                 W 2i     1,H     +1,2i     1,V     , 2i     1,H     +1,2i     1,V     , 1   (2)   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 21 
               
             
            
               
                   
               
               
                 An illustration of subset restriction on rank-2 i 2  (Table 20) 
               
            
           
           
               
               
               
               
               
            
               
                   
                   
                   
                   
                 Mapping to 
               
               
                 Beam grouping 
                   
                 i 2  after subset 
                 Number of 
                 reported i 2   
               
               
                 configuration 
                 (L 1 , L 2 ) 
                 restriction 
                 i 2  indices 
                 indices 
               
               
                   
               
               
                 0 
                 (4, 1) 
                 0-1, 26-39 
                 16 
                 0-15 
               
               
                 1 
                 (1, 4) 
                 0-15 
                 16 
                 0-15 
               
               
                 2 
                 (2, 2) 
                 Scheme 0: 0-3, 8-9, 
                 16 
                 0-15 
               
               
                   
                   
                 16-19, 24-27, 32-33 
                   
                   
               
               
                   
                   
                 Scheme 1: 0-3, 8-9, 
                   
                   
               
               
                   
                   
                 16-21, 26-27, 32-33 
                   
                   
               
               
                   
                   
                 Scheme 2: 0-3, 8-9, 
                   
                   
               
               
                   
                   
                 16-17, 22-27, 32-33 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 25 
               
               
                   
               
               
                 Master codebook for 2 layer CSI reporting for (L 1 , L 2 ) = (4, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     2     i     1,2     , s     1     i     1,1     , s     2     i     1,2     , 0   (2)   
                 W s     1     i     1,1     , s     2     i     1,2     , s     1     i     1,1     , s     2     i     1,2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +2p     1     , s     2     i     1,2     , s     1     i     1,1     +2p     1     , s     2     i     1,2     , 0   (2)   
                 W s     1     i     1,1     +2p     1     , s     2     i     1,2     , s     1     i     1,1     +2p     1     , s     2     i     1,2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 8 
                 9 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     2     i     1,2     , s     1     i     1,1     +p     1     , s     2     i     1,2     , 0   (2)   
                 W s     1     i     1,1     , s     2     i     1,2     , s     1     i     1,1     +p     1     , s     2     i     1,2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 12 
                 13 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     2     i     1,2     , s     1     i     1,1     +p     3     , s     2     i     1,2     , 0   (2)   
                 W s     1     i     1,1     , s     2     i     1,2     , s     1     i     1,1     +p     3     , s     2     i     1,2     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 16-31 
               
               
                   
               
               
                 Precoder 
                 Entries 16-31 constructed with replacing the second subscript s 2 i 1,2  with s 2 i 1,2  + p 2  in entries 0-15. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2   
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +p     1     , s     2     i     1,2     , s     1     i     1,1     +p     1     , s     2     i     1,2     , 0   (2)   
                 W s     1     i     1,1     +p     1     , s     2     i     1,2     , s     1     i     1,1     +p     1     , s     2     i     1,2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +3p     1     , s     2     i     1,2     , s     1     i     1,1     +3p     1     , s     2     i     1,2     , 0   (2)   
                 W s     1     i     1,1     +3p     1     , s     2     i     1,2     , s     1     i     1,1     +3p     2     , s     2     i     1,2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 10 
                 11 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +p     1     , s     2     i     1,2     , s     1     i     1,1     +2p     1     , s     2     i     1,2     , 0   (2)   
                 W s     1     i     1,1     +p     1     , s     2     i     1,2     , s     1     i     1,1     +2p     1     , s     2     i     1,2     , 1   (2)   
               
               
                   
               
               
                 i 2   
                 14 
                 15 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +p     1     , s     2     i     1,2     , s     1     i     1,1     +3p     1     , s     2     i     1,2     , 0   (2)   
                 W s     1     i     1,1     +p     1     , s     2     i     1,2     , s     1     i     1,1     +3p     1     , s     2     i     1,2     , 1   (2)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2   
                 16-31 
               
               
                   
               
               
                 Precoder 
                 Entries 16-31 constructed with replacing the second subscript s 2 i 1,2  with s 2 i 1,2  + p 2  in entries 0-15. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 29 
               
               
                   
               
               
                 Master codebook for 3 layer CSI reporting for (N 1 , N 2 ) = (4, 2) and (L 1 , L 2 ) = (4, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder  
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 12 
                 13 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     (3)   
                 W s     1     i     1,1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 16 
                 17 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     (3)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 20 
                 21 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
                 W s     1     i     1,1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 24 
                 25 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 28 
                 29 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
                      
               
               
                   
               
               
                 i 2 ′ 
                 32 
                 33 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 36 
                 37 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 40 
                 41 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
                 W s     1     i     1,1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
                 {tilde over (W)} s     1     i     1,1     +O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
                 {tilde over (W)} s     1     i     1,1     +2O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
                 {tilde over (W)} s     1     i     1,1     +3O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 14 
                 15 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     (3)   
                 {tilde over (W)} s     1     i     1,1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 18 
                 19 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 22 
                 23 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
                 {tilde over (W)} s     1     i     1,1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 26 
                 27 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 30 
                 31 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 34 
                 35 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
                 {tilde over (W)} s     1     i     1,1     +2O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 38 
                 39 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +3O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     +O     1     , s     2     i     1,2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 42 
                 43 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     (3)   
                 {tilde over (W)} s     1     i     1,1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     (3)   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 32 
               
               
                   
               
               
                 Master codebook for 4 layer CSI reporting for (N 1 , N 2 ) = (4, 2) and (L 1 , L 2 ) = (4, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     , 0   (4)   
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     , 0   (4)   
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     , 0   (3)   
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     , 1   (3)   
               
               
                   
               
               
                 i 2 ′ 
                 12 
                 13 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , 0   (3)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , 1   (3)   
               
               
                   
               
               
                 i 2 ′ 
                 16 
                 17 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , 0   (3)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , 1   (3)   
               
               
                   
               
               
                 i 2 ′ 
                 20 
                 21 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , 0   (3)   
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , 1   (3)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     , 0   (4)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     , 0   (4)   
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , 0   (4)   
                 W s     1     i     1,1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 14 
                 15 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , 0   (3)   
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , 1   (3)   
               
               
                   
               
               
                 i 2 ′ 
                 18 
                 19 
               
               
                   
               
               
                 Precoder   
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , 0   (3)   
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , 1   (3)    
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 35 
               
               
                   
               
               
                 Master codebook for 5 layer CSI reporting for (N 1 , N 2 ) = (4, 2) and (L 1 , L 2 ) = (4, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     (5)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     (5)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     (5)   
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     (5)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     +O     2     (5)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     (5)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     , s     2     i     1,2     (5)   
                 W s     1     i     1,1     , s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , s     2     i     1,2     (5)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , s     2     i     1,2     (5)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , s     2     i     1,2     +O     2     (5)   
               
               
                   
               
               
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , s     2     i     1,2     (5)   
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     +O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , s     2     i     1,2     +O     2     (5)   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 36 
               
               
                   
               
               
                 Master codebook for 6 layer CSI reporting for (N 1 , N 2 ) = (4, 2) and (L 1 , L 2 ) = (4, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     (6)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     (6)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     (6)   
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     (6)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     2     i     1,2     , s     2     i     1,2     , s     2     i     1,2     +O     2     (6)   
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     +O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     (6)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +O     1     , s     1     i     1,1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     +O     2     , s     2     i     1,2     (6)   
                 W s     1     i     1,1     , s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , s     2     i     1,2     (6)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     , s     1     i     1,1     +O     1     , s     1     i     1,1     +2O     1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , s     2     i     1,2     (6)   
                 W s     1     i     1,1     ,+O     1     , s     1     i     1,1     +2O     1     , s     1     i     1,1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , s     2     i     1,2     +O     2     (6)   
               
               
                   
               
               
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1,1     +2O     1     , s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     2     i     1,2     , s     2     i     1,2     +O     2     , s     2     i     1,2     (6)   
                 W s     1     i     1,1     +3O     1     , s     1     i     1,1     , s     1     i     1,1     +O     1     , s     2     i     1,2     +O     2     , s     2     i     1,2     , s     2     i     1,2     +O     2     (6)   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 43 
               
               
                   
               
               
                 Master codebook for 3 layer CSI reporting for (N 1 , 
               
               
                 N 2 ) = (4, 2) and (L 1 , L 2 ) = (2, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     (3)   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     , s     2     i     1, 2     (3)   
                 W s     1     i     1, 1     +O     1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     (3)   
                 W s     1     i     1, 1     +O     1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 12 
                 13 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     (3)   
                 W s     1     i     1, 1     +O     1     , s     1     i     1, 1     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     (3)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                   
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                   
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     , s     2     i     1, 2     (3)   
                 W s     1     i     1, 1     +O     1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                   
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +O     1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     (3)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 14 
                 15 
               
               
                   
               
               
                   
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +O     1     , s     1     i     1, 1     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     (3)   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 44 
               
               
                   
               
               
                 Master codebook for 4 layer CSI reporting for (N 1 , 
               
               
                 N 2 ) = (4, 2) and (L 1 , L 2 ) = (2, 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     , 0   (4)   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     , 0   (4)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     +O     2     , s     2     i     1, 2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (4)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     , 0   (4)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +O     1     , s     2     i     1, 2     , s     2     i     1, 2     +O     2     , 1   (4)   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 48 
               
               
                   
               
               
                 Master codebook for 3 layer CSI reporting and N 1  ≧ N 2   
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +δ     1     , s     1     i     1, 1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +p     1     +δ     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +2p     1     +δ     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1,       2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 12 
                 13 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +3p     1     +δ     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 16-31 
               
               
                   
               
               
                 Precoder 
                 Entries 16-31 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-15. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +δ     1     , s     1     i     1, 1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +p     1     +δ     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +2p     1     +δ     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1,       2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 14 
                 15 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +p     1     +3δ     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +3δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 16-31 
               
               
                   
               
               
                 Precoder 
                 Entries 16-31 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-15. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 49 
               
               
                   
               
               
                 Master codebook for 4 layer CSI reporting and N 1  ≧ N 2   
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 8-15 
               
               
                   
               
               
                 Precoder 
                 Entries 8-15 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-7. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 8-15 
               
               
                   
               
               
                 Precoder 
                 Entries 8-15 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-7. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 56 
               
               
                   
               
               
                 Master codebook for 3 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     (3)   
                 W s     1     i     1, 1     +δ     1, 1       0     , s     1     i     1, 1     +δ     1, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , s     2     i     1, 2     +δ     2, 0       0     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     (3)   
                 {tilde over (W)} s     1     i     1, 1     +δ     1, 1       0     , s     1     i     1, 1     +δ     1, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , s     2     i     1, 2     +δ     2, 0       0     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 4-15 
               
               
                   
               
               
                 Precoder 
                 Entries 4-15 constructed with replacing the superscript 0 in δ 1, 0   (0) , δ 2, 0   (0) , δ 1, 1   (0) , and δ 2, 1   (0)  with 1, 2, and 3. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 57 
               
               
                   
               
               
                 Master codebook for 4 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , 0   (4)   
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , 1   (4)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 2-7 
               
               
                   
               
               
                 Precoder 
                 Entries 2-7 constructed with replacing the superscript 0 in δ 1, 0   (0) , δ 2, 0   (0) , δ 1, 1   (0) , and δ 2, 1   (0)  with 1, 2, and 3. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 59 
               
               
                   
               
               
                 Master codebook for 3 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     (3)   
                 W s     1     i     1, 1     +δ     1, 1       0     , s     1     i     1, 1     +δ     1, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , s     2     i     1, 2     +δ     2, 0       0     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     (3)   
                 {tilde over (W)} s     1     i     1, 1     +δ     1, 1       0     , s     1     i     1, 1     +δ     1, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , s     2     i     1, 2     +δ     2, 0       0     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 4-(4K-1) 
               
               
                   
               
               
                 Precoder 
                 Entries 4-(4K-1) constructed with replacing the superscript 0 in δ 1, 0   (0) , δ 2, 0   (0) , δ 1, 1   (0) , and δ 2, 1   (0)  with 1, . . . , K-1 in entries 0-3. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 60 
               
               
                   
               
               
                 Master codebook for 4 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , 0   (4)   
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , 1   (4)   
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 2-(2K-1) 
                   
               
               
                   
               
               
                 Precoder 
                 Entries 2-(2K-1) constructed with replacing the superscript 0 in δ 1, 0   (0) , δ 2, 0   (0) , δ 1, 1   (0) , and δ 2, 1   (0)  with 1, . . . , K-1 in entries 0-1. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 62 
               
               
                   
               
               
                 Master codebook for 3 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     (3)   
                 W s     1     i     1, 1     +δ     1, 1       0     , s     1     i     1, 1     +δ     1, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , s     2     i     1, 2     +δ     2, 0       0     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 Precoder 
                 {tilde over (W)} s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     (3)   
                 {tilde over (W)} s     1     i     1, 1     +δ     1, 1       0     , s     1     i     1, 1     +δ     1, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , s     2     i     1, 2     +δ     2, 0       0     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 4-15 
               
               
                   
               
               
                 Precoder 
                 Entries 4-15 constructed with replacing s 1 i 1, 1  in first and second subscripts with s 1 i 1, 1  + p 1 , s 1 i 1, 1  + 2p 1 , and s 1 i 1, 1  + 3p 1  in entries 0-3. 
               
               
                   
               
               
                 i 2 ′ 
                 16-31 
               
               
                   
               
               
                 Precoder 
                 Entries 16-31 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-15. 
               
               
                   
               
               
                 i 2 ′ 
                 32-(32K-1) 
               
               
                   
               
               
                 Precoder 
                 Entries 32-(32K-1) constructed with replacing the superscript 0 in δ 1, 0   (0) , δ 2, 0   (0) , δ 1, 1   (0) , and δ 2, 1   (0)  with 1, . . . , K-1 in entries 0-31. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 63 
               
               
                   
               
               
                 Master codebook for 4 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 Precoder 
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , 0   (4)   
                 W s     1     i     1, 1     +δ     1, 0       0     , s     1     i     1, 1     +δ     1, 1       0     , s     2     i     1, 2     +δ     2, 0       0     , s     2     i     1, 2     +δ     2, 1       0     , 1   (4)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 2-7 
               
               
                   
               
               
                 Precoder 
                 Entries 2-7 constructed with replacing s 1 i 1, 1  in first and second subscripts with s 1 i 1, 1  + p 1 , s 1 i 1, 1  + 2p 1 , and s 1 i 1, 1  + 3p 1  in entries 0-1. 
               
               
                   
               
               
                 i 2 ′ 
                 8-15 
               
               
                   
               
               
                 Precoder 
                 Entries 8-15 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-7. 
               
               
                   
               
               
                 i 2 ′ 
                 16-(16K-1) 
               
               
                   
               
               
                 Precoder 
                 Entries 16-(16K-1) constructed with replacing the superscript 0 in δ 1, 0   (0) , δ 2, 0   (0) , δ 1, 1   (0) , and δ 2, 1   (0) with 1, . . . , K-1 in entries 0-15. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 66 
               
               
                   
               
               
                 Master codebook for 3 layer CSI reporting for N 1  ≧ N 2   
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +δ     1     , s     1     i     1, 1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +p     1     +δ     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +2p     1     +δ     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 12 
                 13 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +3p     1     +δ     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 16-31 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 Entries 16-31 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-15. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 {tilde over (W)} s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +δ     1     , s     1     i     1, 1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 {tilde over (W)} s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +p     1     +δ     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 {tilde over (W)} s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +2p     1     +δ     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 14 
                 15 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 {tilde over (W)} s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +3p     1     +δ     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 16-31 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 Entries 16-31 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-15. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 67 
               
               
                   
               
               
                 Master codebook for 4 layer CSI reporting for N 1  ≧ N 2   
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 8-15 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 Entries 8-15 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-7. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 8-15 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 Entries 8-15 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-7. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 77 
               
               
                   
               
               
                 Master codebook for 2 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 12 
                 13 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 16 
                 17 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 20 
                 21 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 24 
                 25 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 28 
                 29 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 32 
                 33 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
               
                 i 2 ′ 
                 36 
                 37 
               
               
                   
               
               
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     , 2   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     , s     2     i     1, 2     , s     2     i     1, 2     , 3   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 14 
                 15 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 0   (2)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , s     2     i     1, 2     , 1   (2)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 18 
                 19 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 22 
                 23 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +p     2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 26 
                 27 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 30 
                 31 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
               
                   
                 i 2 ′ 
                 34 
                 35 
               
               
                   
               
               
                   
                 i 1, 1 , i 1, 2   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     , s     2     i     1, 2     +p     2     , 0   (2)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     , s     2     i     1, 2     +p     2     , 1   (2)   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 79 
               
               
                   
               
               
                 Master codebook for 3 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +δ     1     , s     1     i     1, 1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +p     1     +δ     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 8 
                 9 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +2p     1     +δ     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 12 
                 13 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 W s     1     i     1, 1     +3p     1     +δ     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 16-31 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 Entries 16-31 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-15. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 {tilde over (W)} s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +δ     1     , s     1     i     1, 1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 {tilde over (W)} s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +p     1     +δ     1     , s     1     i     1, 1     +p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 10 
                 11 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 {tilde over (W)} s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +2p     1     +δ     1     , s     1     i     1, 1     +2p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
               
                 i 2 ′ 
                 14 
                 15 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 {tilde over (W)} s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1, 1     +3p     1     +δ     1     , s     1     i     1, 1     +3p     1     , s     2     i     1, 2     +δ     2     , s     2     i     1, 2     (3)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 16-31 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 Entries 16-31 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-15. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 80 
               
               
                   
               
               
                 Codebook for 4 layer CSI reporting 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 0 
                 1 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     , s     1     i     1, 1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 4 
                 5 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +2p     1     , s     1     i     1, 1     +2p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 8-15 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 Entries 8-15 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-7. 
               
               
                   
               
            
           
           
               
               
               
            
               
                 i 2 ′ 
                 2 
                 3 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +p     1     , s     1     i     1, 1     +p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
               
                 i 2 ′ 
                 6 
                 7 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 0   (4)   
                 W s     1     i     1, 1     +3p     1     , s     1     i     1, 1     +3p     1     +δ     1     , s     2     i     1, 2     , s     2     i     1, 2     +δ     2     , 1   (4)   
               
               
                   
               
            
           
           
               
               
            
               
                 i 2 ′ 
                 8-15 
               
               
                   
               
               
                 i 1, 1 , i 1, 2 , k 
                 Entries 8-15 constructed with replacing s 2 i 1, 2  in third and fourth subscripts with s 2 i 1, 2  + p 2  in entries 0-7. 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 87-1 
               
             
            
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 1) 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W (1)   i     1,1     ,i     1,2     ,0   
                 W (1)   i     1,1     ,i     1,2     ,1   
                 W (1)   i     1,1     ,i     1,2     ,2   
                 W (1)   i     1,1     ,i     1,2     ,3   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               P 
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 87-2 
               
               
                   
               
             
            
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 2) 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2i     1,1     ,2i     1,2     ,0   
                 W (1)   2i     1,1     ,2i     1,2     ,1   
                 W (1)   2i     1,1     ,2i     1,2     ,2   
                 W (1)   2i     1,1     ,2i     1,2     ,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2i     1,1     +1,2i     1,2     ,0   
                 W (1)   2i     1,1     +1,2i     1,2     ,1   
                 W (1)   2i     1,1     +1,2i     1,2     ,2   
                 W (1)   2i     1,1     +1,2i     1,2     ,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2i     1,1     ,2i     1,2     +1,0   
                 W (1)   2i     1,1     ,2i     1,2     +1,1   
                 W (1)   2i     1,1     ,2i     1,2     +1,1   
                 W (1)   2i     1,1     ,2i     1,2     +1,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2i     1,1     +1,2i     1,2     +1,0   
                 W (1)   2i     1,1     +1,2i     1,2     +1,1   
                 W (1)   2i     1,1     +1,2i     1,2     +1,2   
                 W (1)   2i     1,1     +1,2i     1,2     +1,3   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               P 
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 87-3 
               
               
                   
               
             
            
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No.3) 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2x,2y,0   
                 W (1)   2x,2y,1   
                 W (1)   2x,2y,2   
                 W (1)   2x,2y,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2x+2,2y,0   
                 W (1)   2x+2,2y,1   
                 W (1)   2x+2,2y,2   
                 W (1)   2x+2,2y,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2x+1,2y+1,0   
                 W (1)   2x+1,2y+1,1   
                 W (1)   2x+1,2y+1,2   
                 W (1)   2x+1,2y+1,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2x+3,2y+1,0   
                 W (1)   2x+3,2y+1,1   
                 W (1)   2x+3,2y+1,2   
                 W (1)   2x+3,2y+1,3   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             x 
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 P 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           x 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 P 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         , 
                                         l 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           m 
                                           , 
                                           l 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 Table 87-4 
               
               
                   
               
             
            
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 4) 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2x,2y,0   
                 W (1)   2x,2y,1   
                 W (1)   2x,2y,2   
                 W (1)   2x,2y,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2x+1,2y,0   
                 W (1)   2x+1,2y,1   
                 W (1)   2x+1,2y,2   
                 W (1)   2x+1,2y,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2x+2,2y,0   
                 W (1)   2x+2,2y,1   
                 W (1)   2x+2,2y,2   
                 W (1)   2x+2,2y,3   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (1)   2x+3,2y,0   
                 W (1)   2x+3,2y,1   
                 W (1)   2x+3,2y,2   
                 W (1)   2x+3,2y,3   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             x 
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 P 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           x 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 P 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         , 
                                         l 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           m 
                                           , 
                                           l 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 88-1 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 1) 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W (2)   i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     ,0   
                 W (2)   i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     ,1   
                 W (2)   i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     ,2   
                 W (2)   i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     ,3   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           W 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             n 
                           
                           
                             ( 
                             2 
                             ) 
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 2 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 88-2 
               
               
                   
               
             
            
               
                 Codebook for 2-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 2) 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (2)   2i     1,1     ,2i     1,1     ,2i     1,2     ,2i     1,2     ,0   
                 W (2)   2i     1,1     ,2i     1,1     ,2i     1,2     ,2i     1,2     ,1   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 2 
                 3 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (2)   2i     1,1     +p,2i     1,1     +p,2i     1,2     ,2i     1,2     ,0   
                 W (2)   2i     1,1     +p,2i     1,1     +p,2i     1,2     ,2i     1,2     ,1   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (2)   2i     1,1     +p,2i     1,1     +p,2i     1,2     +1,2i     1,2     +1,0   
                 W (2)   2i     1,1     +p,2i     1,1     +p,2i     1,2     +1,2i     1,2     +1,1   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 6 
                 7 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (2)   2i     1,1     ,2i     1,1     ,2i     1,2     +1,2i     1,2     +1,0   
                 W (2)   2i     1,1     ,2i     1,1     ,2i     1,2     +1,2i     1,2     +1,1   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (2)   2i     1,1     ,2i     1,1     +p,2i     1,2     ,2i     1,2     ,0   
                 W (2)   2i     1,1     ,2i     1,1     +p,2i     1,2     ,2i     1,2     ,1   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 10 
                 11 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (2)   2i     1,1     ,2i     1,1     +p,2i     1,2     +1,2i     1,2     +1,0   
                 W (2)   2i     1,1     ,2i     1,1     +p,2i     1,2     +1,2i     1,2     +1,1   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (2)   2i     1,1     ,2i     1,1     ,2i     1,2     ,2i     1,2     +1,0   
                 W (2)   2i     1,1     ,2i     1,1     ,2i     1,2     ,2i     1,2     +1,1   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 14 
                 15 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W (2)   2i     1,1     +p,2i     1,1     +p,2i     1,2     ,2i     1,2     +1,0   
                 W (2)   2i     1,1     +p,2i     1,1     +p,2i     1,2     ,2i     1,2     +1,1   
               
               
                   
               
               
                             where   ⁢           ⁢     W     l   ,     l   ′     ,   m   ,     m   ′     ,   n       (   2   )         =       1       2   ⁢   P         ⁡     [           v     l   ,   m             v       l   ′     ,     m   ′                     φ   n     ⁢     v     l   ,   m                 -     φ   n       ⁢     v       l   ′     ,     m   ′                 ]         ;       
If N 1  &gt; N 2 , then p = 1 otherwise p = O 1 . 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 88-3 
               
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports 15 to 14 + P(Codebook-Config No. 3) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value 
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x,2x,2y,2y,0   (2)   
                 W 2x,2x,2y,2y,1   (2)   
                 W 2x+1,2x+1,2y+1,2y+1,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value 
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x+1,2x+1,2y+1,2y+1,1   (2)   
                 W 2x+2,2x+2,2y,2y,0   (2)   
                 W 2x+2,2x+2,2y,2y,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value 
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 6 
                 7 
                 8 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x+3,2x+3,2y+1,2y+1,0   (2)   
                 W 2x+3,2x+3,2y+1,2y+1,1   (2)   
                 W 2x,2x+1,2y,2y+1,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value 
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 9 
                 10 
                 11 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x,2x+1,2y,2y+1,1   (2)   
                 W 2x+1,2x+2,2y+1,2y,0   (2)   
                 W 2x+1,2x+2,2y+1,2y,1   (2)   
               
               
                   
               
               
                 Value 
                   
                   
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x,2x+3,2y,2y+1,0   (2)   
                 W 2x,2x+3,2y,2y+1,1   (2)   
                 W 2x+1,2x+3,2y+1,2y+1,0   (2)   
               
               
                   
               
               
                   
                   
                 Value of 
                   
                   
                 i 2   
               
               
                   
                   
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 15 
               
               
                   
               
               
                   
                   
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x+1,2x+3,2y+1,2y+1,1   (2)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             
                               where 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               x 
                             
                             = 
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                           , 
                           
                             y 
                             = 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           , 
                           
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                             = 
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         2 
                                       
                                       ⁢ 
                                       P 
                                     
                                   
                                   ⁡ 
                                   
                                     [ 
                                     
                                       
                                         
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                         
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             
                                               φ 
                                               n 
                                             
                                             ⁢ 
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               - 
                                               
                                                 φ 
                                                 n 
                                               
                                             
                                             ⁢ 
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     ] 
                                   
                                 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 if 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 
                                   N 
                                   1 
                                 
                               
                               ≧ 
                               
                                 
                                   N 
                                   2 
                                 
                                 ⁢ 
                                 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                       
                                   
                                 
                                 ⁢ 
                                 and 
                               
                             
                           
                         
                         ⁢ 
                         
                             
                         
                       
                     
                   
                   
                     
                       
                         
                           x 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         , 
                                         l 
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           m 
                                           , 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             m 
                                             ′ 
                                           
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 88-4 
               
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 4) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x,2x,2y,2y,0   (2)   
                 W 2x,2x,2y,2y,1   (2)   
                 W 2x+1,2x+1,2y,2y,0   (2)   
                 W 2x+1,2x+1,2y,2y,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x+2,2x+2,2y,2y,0   (2)   
                 W 2x+2,2x+2,2y,2y,1   (2)   
                 W 2x+3,2x+3,2y,2y,0   (2)   
                 W 2x+3,2x+3,2y,2y,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x,2x+1,2y,2y,0   (2)   
                 W 2x,2x+1,2y,2y,1   (2)   
                 2 x+1,2x+2,2y,2y,0   (2)   
                 2 2x+1,2x+2,2y,2y,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2x,2x+3,2y,2y,0   (2)   
                 W 2x,2x+3,2y,2y,1   (2)   
                 2 x+1,2x+3,2y,2y,0   (2)   
                 W 2x+1,2x+3,2y,2y,1   (2)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             
                               where 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               x 
                             
                             = 
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                           , 
                           
                             y 
                             = 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           , 
                           
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                             = 
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         2 
                                       
                                       ⁢ 
                                       P 
                                     
                                   
                                   ⁡ 
                                   
                                     [ 
                                     
                                       
                                         
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                         
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             
                                               φ 
                                               n 
                                             
                                             ⁢ 
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               - 
                                               
                                                 φ 
                                                 n 
                                               
                                             
                                             ⁢ 
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     ] 
                                   
                                 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 if 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 
                                   N 
                                   1 
                                 
                               
                               ≧ 
                               
                                 
                                   N 
                                   2 
                                 
                                 ⁢ 
                                 
                                   
                                       
                                   
                                   ⁢ 
                                   
                                       
                                   
                                 
                                 ⁢ 
                                 and 
                               
                             
                           
                         
                         ⁢ 
                         
                             
                         
                       
                     
                   
                   
                     
                       
                         
                           x 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         m 
                                         , 
                                         l 
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           m 
                                           , 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             m 
                                             ′ 
                                           
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 89-1 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 1) 
               
               
                   
               
             
            
               
                 N 1  &gt; 1, N 2  &gt; 1 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
               
               
                   
               
               
                 1 
                 0,1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     , i     1,1     +O     1     , i     1,2     , i     1,2     (3)   
                 {tilde over (W)} i     1,1     , i     1,1     +O     1     , i     1,2,     i     1,2     (3)   
               
               
                   
                 O 1 N 1 ,O 1 ,N 1  + 1, . . . , 2O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     , i     1,1     , i     1,2     , i     1,2     +O     2     (3)   
                 {tilde over (W)} i     1,1     , i     1,1     , i     1,2     ,i     1,2     +O     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     3 
                                     ⁢ 
                                     P 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             and 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               
                                 W 
                                 ~ 
                               
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 N 2  = 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
               
               
                   
               
               
                 1 
                 0,1, . . . , O 1 N 1  − 1 
                 0 
                 W i     1,1     , i     1,1     +O     1     , 0, 0   (3)   
                 {tilde over (W)} i     1,1     , i     1,1     +O     1     , 0, 0   (3)   
               
               
                   
                 O 1 N 1 ,O 1 N 1  + 1, . . . , 2O 1 N 1  − 1 
                 0 
                 W i     1,1     , i     1,1     +2O     1     , 0, 0   (3)   
                 {tilde over (W)} i     1,1     , i     1,1     +2O     1     , 0, 0   (3)   
               
               
                   
                 2O 1 N 1 , . . . , 3O 1 N 1  − 1 
                 0 
                 W i     1,1     , i     1,1     +3O     1     , 0, 0   (3)   
                 {tilde over (W)} i     1,1     , i     1,1     +3O     1     , 0, 0   (3)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     3 
                                     ⁢ 
                                     P 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             and 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               
                                 W 
                                 ~ 
                               
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 89-2 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
               
               
                   
               
               
                 2 
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 W 2i     1,1     , 2i     1,1     +4,   2i     1,2     , 2i     1,2     (3)   
                 W 2i     1,1     +4, 2i     1,1     , 2i     1,2     , 2i     1,2     (3)   
                 {tilde over (W)} 2i     1,1     , 2i     1,1     +4, 2i     1,2     , 2i     1,2     (3)   
               
               
                   
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 W 2i     1,1     , 2i     1,1     , 2i     1,2     , 2i     1,2     +4   (3)   
                 W 2i     1,1     , 2i     1,1     , 2i     1,2     +4, 2i     1,2     (3)   
                 {tilde over (W)} 2i     1,1,     2i     1,1     , 2i     1,2     , 2i     1,2     +4   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 2 
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 {tilde over (W)} 2i     1,1     +4, 2i     1,1     , 2i     1,2     , 2i     1,2     (3)   
                 W 2i     1,1     +1, 2i     1,1     +5, 2i     1,2     , 2i     1,2     (3)   
                 W 2i     1,1     +5, 2i     1,1     +1, 2i     1,2     , 2i     1,2     (3)   
               
               
                   
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 {tilde over (W)} 2i     1,1     , 2i     1,1     , 2i     1,2     +4, 2i     1,2     (3)   
                 W 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     , 2i     1,2     +4   (3)   
                 W 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     +4,2i     1,2     (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 6 
                 7 
                 8 
               
               
                   
               
               
                 2 
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 {tilde over (W)} 2i     1,1     +1, 2i     1,1     +5, 2i     1,2     , 2i     1,2     (3)   
                 {tilde over (W)} 2i     1,1     +5, 2i     1,1     +1, 2i     1,2     , 2i     1,2     (3)   
                 W 2i     1,1     , 2i     1,1     +4, 2i     1,2     +1, 2i     1,2     +1   (3)   
               
               
                   
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 {tilde over (W)} 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     , 2i     1,2     +4   (3)   
                 {tilde over (W)} 2i     1,1     +1,   2i     1,1     +1, 2i     1,2     +4, 2i     1,2     (3)   
                 W 2i     1,1     , 2i     1,1     , 2i     1,2     +1, 2i     1,2     +5   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 9 
                 10 
                 11 
               
               
                   
               
               
                 2 
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 W 2i     1,1     +4, 2i     1,1     , 2i     1,2     +1, 2i     1,2     +1   (3)   
                 {tilde over (W)} 2i     1,1     , 2i     1,1     +4, 2i     1,2     +1, 2i     1,2     +1   (3)   
                 {tilde over (W)} 2i     1,1     +4, 2i     1,1     , 2i     1,2     +1, 2i     1,2     +1   (3)   
               
               
                   
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 W 2i     1,1     , 2i     1,1     , 2i     1,2     +5, 2i     1,2     +1   (3)   
                 {tilde over (W)} 2i     1,1     , 2i     1,1     , 2i     1,2     +1, 2i     1,2     +5   (3)   
                 {tilde over (W)} 2i     1,1     , 2i     1,1     , 2i     1,2     +5, 2i     1,2     +1   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
               
               
                   
               
               
                 2 
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 W 2i     1,1     +1, 2i     1,1     +5, 2i     1,2     +1, 2i     1,2     +1   (3)   
                 W 2i     1,1     +5, 2i     1,1     +1, 2i     1,2     +1, 2i     1,2     +1   (3)   
                 {tilde over (W)} 2i     1,1     +1, 2i     1,1     +5, 2i     1,2     +1, 2i     1,2     +1   (3)   
               
               
                   
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 W 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     +1, 2i     1,2     +5   (3)   
                 W 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     +5, 2i     1,2     +1   (3)   
                 {tilde over (W)} 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     +1, 2i     1,2     +5   (3)   
               
               
                   
               
               
                   
                   
                 Value of 
                   
                   
                   
               
               
                   
                   
                 Codebook- 
                   
                   
                 i 2   
               
               
                   
                   
                 Config 
                 i 1,1   
                 i 1,2   
                 15 
               
               
                   
               
               
                   
                   
                 2 
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 {tilde over (W)} 2i     1,1     +5, 2i     1,1     +1, 2i     1,2     +1, 2i     1,2     +1   (3)   
               
               
                   
                   
                   
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 {tilde over (W)} 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     +5, 2i     1,2     +1   (3)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               W 
                               ~ 
                             
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 89-3 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 3) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 3 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x+2,4x+6,2y,2y   (3)   
                 W 4x+6,4x+2,2y,2y   (3)   
                 {tilde over (W)} 4x+2,4x+6,2y,2y   (3)   
                 {tilde over (W)} 4x+6,4x+2,2y,2y   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x+2,4x+2,2y,2y+4   (3)   
                 W 4x+2,4x+2,2y+4,2y   (3)   
                 {tilde over (W)} 4x+2,4x+2,2y,2y+4   (3)   
                 {tilde over (W)} 4x+2,4x+2,2y+4,2y   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 3 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x+3,4x+7,2y,2y   (3)   
                 W 4x+7,4x+3,2y,2y   (3)   
                 {tilde over (W)} 4x+3,4x+7,2y,2y   (3)   
                 {tilde over (W)} 4x+7,4x+3,2y,2y   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x+3,4x+3,2y,2y+4   (3)   
                 W 4x+3,4x+3,2y+4,2y   (3)   
                 {tilde over (W)} 4x+3,4x+3,2y,2y+4   (3)   
                 {tilde over (W)} 4x+3,4x+3,2y+4,2y   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 3 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x,4x+4,2y+1,2y+1   (3)   
                 W 4x+4,4x,2y+1,2y+1   (3)   
                 {tilde over (W)} 4x,4x+4,2y+1,2y+1   (3)   
                 {tilde over (W)} 4x+4,4x,2y+1,2y+1   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x,4x,2y+1,2y+5   (3)   
                 W 4x,4x,2y+5,2y+1   (3)   
                 {tilde over (W)} 4x,4x,2y+1,2y+5   (3)   
                 {tilde over (W)} 4x,4x,2y+5,2y+1   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 3 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x+1,4x+5,2y+1,2y+1   (3)   
                 W 4x+5,4x+1,2y+1,2y+1   (3)   
                 {tilde over (W)} 4x+1,4x+5,2y+1,2y+1   (3)   
                 {tilde over (W)} 4x+5,4x+1,2y+1,2y+1   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x+1,4x+1,2y+1,2y+5   (3)   
                 W 4x+1,4x+1,2y+5,2y+1   (3)   
                 {tilde over (W)} 4x+1,4x+1,2y+1,2y+5   (3)   
                 {tilde over (W)} 4x+1,4x+1,2y+5,2y+1   (3)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             x 
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             
                               W 
                               ~ 
                             
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             O 
                                             
                                               2 
                                               ⁢ 
                                               m 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             m 
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 , 
                                               
                                               ⁢ 
                                               
                                                 l 
                                                 ′ 
                                               
                                             
                                             4 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                             4 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             
                               if 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               
                                 N 
                                 1 
                               
                             
                             ≧ 
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               and 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               x 
                             
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             
                               N 
                               2 
                             
                             . 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 89-4 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 4) 
               
               
                 N 1  &gt; 1, N 2  &gt; 1 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x,4x+4,y,y   (3)   
                 W 4x+4,4x,y,y   (3)   
                 {tilde over (W)} 4x,4x+4,y,y   (3)   
                 {tilde over (W)} 4x+4,4x,y,y   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x,4x,y,y+4   (3)   
                 W 4x,4x,y+4,y   (3)   
                 {tilde over (W)} 4x,4x,y,y+4   (3)   
                 {tilde over (W)} 4x,4x,y+4,y   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x+1,4x+5,y,y   (3)   
                 W 4x+5,4x+1,y,y   (3)   
                 {tilde over (W)} 4x+1,4x+5,y,y   (3)   
                 {tilde over (W)} 4x+5,4x+1,y,y   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x+1,4x+1,y,y+4   (3)   
                 W 4x+1,4x+1,y+4,y   (3)   
                 {tilde over (W)} 4x+1,4x+1,y,y+4   (3)   
                 {tilde over (W)} 4x+1,4x+1,y+4,y   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x+2,4x+6,y,y   (3)   
                 W 4x+6,4x+2,y,y   (3)   
                 {tilde over (W)} 4x+2,4x+6,y,y   (3)   
                 {tilde over (W)} 4x+6,4x+2,y,y   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x+2,4x+2,y,y+4   (3)   
                 W 4x+2,4x+2,y+4,y   (3)   
                 {tilde over (W)} 4x+2,4x+2,y,y+4   (3)   
                 {tilde over (W)} 4x+2,4x+2,y+4,y   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x+3,4x+7,y,y   (3)   
                 W 4x+7,4x+3,y,y   (3)   
                 {tilde over (W)} 4x+3,4x+7,y,y   (3)   
                 {tilde over (W)} 4x+7,4x+3,y,y   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x+3,4x+3,y,y+4   (3)   
                 W 4x+3,4x+3,y+4,y   (3)   
                 {tilde over (W)} 4x+3,4x+3,y,y+4   (3)   
                 {tilde over (W)} 4x+3,4x+3,y+4,y   (3)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             x 
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             
                               W 
                               ~ 
                             
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             O 
                                             
                                               2 
                                               ⁢ 
                                               m 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             m 
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 , 
                                               
                                               ⁢ 
                                               
                                                 l 
                                                 ′ 
                                               
                                             
                                             4 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                             4 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             
                               if 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               
                                 N 
                                 1 
                               
                             
                             ≧ 
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               and 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               x 
                             
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             
                               N 
                               2 
                             
                             . 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 89-5 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 4) 
               
               
                 N 2  = 1 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0 
                 W 4i     1,1     , 4i     1,1     +4, 0, 0   (3)   
                 W 4i     1,1     +4, 4i     1,1     , 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     , 4i     1,1     +4, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +4, 4i     1,1     , 0, 0   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0 
                 W 4i     1,1     , 4i     1,1     +8, 0, 0   (3)   
                 W 4i     1,1     +8, 4i     1,1     , 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     , 4i     1,1     +8, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +8, 4i     1,1     , 0, 0   (3)   
               
               
                   
                 2N 1 , . . . . , 3N 1  − 1 
                 0 
                 W 4i     1,1     , 4i     1,1     +12, 0, 0   (3)   
                 W 4i     1,1     +12, 4i     1,1     , 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     , 4i     1,1     +12, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +12, 4i     1,1     , 0, 0   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0 
                 W 4i     1,1     +1, 4i     1,1     +5, 0, 0   (3)   
                 W 4i     1,1     +5, 4i     1,1     +1, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +1, 4i     1,1     +5, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +5, 4i     1,1     +1, 0, 0   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0 
                 W 4i     1,1     +1, 4i     1,1     +9, 0, 0   (3)   
                 W 4i     1,1     +9, 4i     1,1     +1, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +1, 4i     1,1     +9, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +9, 4i     1,1     +1, 0, 0   (3)   
               
               
                   
                 2N 1 , . . . . , 3N 1  − 1 
                 0 
                 W 4i     1,1     +1, 4i     1,1     +13, 0, 0   (3)   
                 W 4i     1,1     +13, 4i     1,1     +1, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +1, 4i     1,1     +13, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +13, 4i     1,1     +1, 0, 0   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0 
                 W 4i     1,1     +2, 4i     1,1     +6, 0, 0   (3)   
                 W 4i     1,1     +6, 4i     1,1     +2, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +2, 4i     1,1     +6, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +6, 4i     1,1     +2, 0, 0   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0 
                 W 4i     1,1     +2, 4i     1,1     +10, 0, 0   (3)   
                 W 4i     1,1     +10, 4i     1,1     +2, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +2, 4i     1,1     +10, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +10, 4i     1,1     +2, 0, 0   (3)   
               
               
                   
                 2N 1 , . . . , 3N 1  − 1 
                 0 
                 W 4i     1,1     +2, 4i     1,1     +14, 0, 0   (3)   
                 W 4i     1,1     +14, 4i     1,1     +2, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +2, 4i     1,1     +14, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +14, 4i     1,1     +2, 0, 0   (3)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 4 
                 0, . . . , N1 − 1 
                 0 
                 W 4i     1,1     +3, 4i     1,1     +7, 0, 0   (3)   
                 W 4i     1,1     +7, 4i     1,1     +3, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +3, 4i     1,1     +7, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +7, 4i     1,1     +3, 0, 0   (3)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0 
                 W 4i     1,1     +3, 4i     1,1     +11, 0, 0   (3)   
                 W 4i     1,1     +11, 4i     1,1     +3, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +3, 4i     1,1     +11, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +11, 4i     1,1     +3, 0, 0   (3)   
               
               
                   
                 2N 1 , . . . , 3N 1  − 1 
                 0 
                 W 4i     1,1     +3, 4i     1,1     +15, 0, 0   (3)   
                 W 4i     1,1     +15, 4i1,1+3, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +3, 4i     1,1     +15, 0, 0   (3)   
                 {tilde over (W)} 4i     1,1     +15, 4i     1,1     +3, 0, 0   (3)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             m 
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             m 
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             m 
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               ⁢ 
                                               l 
                                             
                                             4 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               ⁢ 
                                               m 
                                             
                                             4 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 l 
                                                 ′ 
                                               
                                             
                                             4 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                             4 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                             
                         
                         ⁢ 
                         
                           
                             
                               W 
                               ~ 
                             
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             m 
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             l 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             m 
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           4 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 l 
                                                 ′ 
                                               
                                             
                                             4 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                             4 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 90-1 
               
             
            
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 1) 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     , i     1,1     +O     1     , i     1,2     , i     1,2     , 0   (4)   
                 W i     1,1     , i     1,1     +O     1     , i     1,2     , i     1,2     , 1   (4)   
               
               
                   
                 O 1 N 1 , O 1 N 1  + 1, . . . , 2O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     , i     1,1     , i     1,2     , i     1,2     +O     2     , 0   (4)   
                 W i     1,1     , i     1,1     , i     1,2     , i     1,2     +O     2     , 1   (4)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 4 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 90-2 
               
             
            
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 1) 
               
               
                 N 2  = 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0 
                 W i     1,1     , i     1,1     +O     1     , 0, 0, 0   (4)   
                 W i     1,1     , i     1,1     +O     1     , 0, 0, 1   (4)   
               
               
                   
                 O 1 N 1 , O 1 N 1  + 1, . . . , 2O 1 N 1  − 1 
                 0 
                 W i     1,1     , i     1,1     +2O     1     , 0, 0, 0   (4)   
                 W i     1,1     , i     1,1     +2O     1     , 0, 0, 1   (4)   
               
               
                   
                 2O 1 N 1 , . . . , 3O 1 N 1  − 1 
                 0 
                 W i     1,1     , i     1,1     +3O     1     , 0, 0, 0   (4)   
                 W i     1,1     , i     1,1     +3O     1     , 0, 0, 1   (4)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 4 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 90-3 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 2) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
            
               
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
               
               
                   
               
               
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 2i     1,1     , 2i     1,1     +4, 2i     1,2     , 2i     1,2     , 0   (4)   
                 W 2i     1,1     , 2i     1,1     +4, 2i     1,2     , 2i     1,2     , 1   (4)   
                 W 2i     1,1     +1, 2i     1,1     +5, 2i     1,2     , 2i     1,2     , 0   (4)   
               
               
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 2i     1,1     , 2i     1,1     , 2i     1,2     , 2i     1,2     +1, 0   (4)   
                 W 2i     1,1     , 2i     1,1     , 2i     1,2     , 2i     1,2     +4, 1   (4)   
                 W 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     , 2i     1,2     +4, 0   (4)   
               
               
                   
               
            
           
           
               
               
               
            
               
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 2i     1,1     +1, 2i     1,1     +5, 2i     1,2     , 2i     1,2     , 1   (4)   
                 W 2i     1,1     , 2i     1,1     +4, 2i     1,2     +1, 2i     1,2     +1, 0   (4)   
                 W 2i     1,1     , 2i     1,1     +4, 2i     1,2     +1, 2i     1,2     +1, 1   (4)   
               
               
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     , 2i     1,2     +4,1   (4)   
                 W 2i     1,1     , 2i     1,1     , 2i     1,2     +1, 2i     1,2     +5, 0   (4)   
                 W 2i     1,1     , 2i     1,1     , 2i     1,2     +1, 2i     1,2     +5, 1   (4)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                   
                 i 1,1   
                 i 1,2   
                 6 
                 7 
               
               
                   
               
               
                   
                 0, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 2i     1,1     +1, 2i     1,1     +5, 2i     1,2     +1, 2i     1,2     +1, 0   (4)   
                 W 2i     1,1     +1, 2i     1,1     +5, 2i     1,2     +1, 2i     1,2     +1, 1   (4)   
               
               
                   
                 2N 1 , . . . , 4N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 2i     1,1     +1, 2i     1,1     +1,2i     1,2     +1, 2i     1,2     +5, 0   (4)   
                 W 2i     1,1     +1, 2i     1,1     +1, 2i     1,2     +1, 2i     1,2     +5,1   (4)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 4 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 90-4 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 3) 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 3 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x+1,4x+6,2y,2y,0   (4)   
                 W 4x+2,4x+6,2y,2y,1   (4)   
                 W 4x+3,4x+7,2y,2y,0   (4)   
                 W 4x+3,4x+7,2y,2y,1   (4)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x+2,4x+3,2y,2y+4,0   (4)   
                 W 4x+2,4x+2,2y,2y+4,1   (4)   
                 W 4x+3,4x+3,2y,2y+4,0   (4)   
                 W 4x+3,4x+3,2y,2y+4,1   (4)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 3 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x,4x+4,2y+1,2y+1,0   (4)   
                 W 4x,4x+4,2y+1,2y+1,1   (4)   
                 W 4x+1,4x+5,2y+1,2y+1,0   (4)   
                 W 4x+1,4x+5,2y+1,2y+1,1   (4)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 1  − 1 
                 W 4x,4x,2y+1,2y+5,0   (4)   
                 W 4x,4x,2y+1,2y+5,1   (4)   
                 W 4x+1,4x+1,2y+1,2y+5,0   (4)   
                 W 4x+1,4x+1,2y+1,2y+5,1   (4)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                             
                               
                                   
                               
                               ⁢ 
                               
                                   
                               
                             
                             ⁢ 
                             x 
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 
                                   m 
                                   ′ 
                                 
                                 ⁢ 
                                 n 
                               
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   4 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             
                               if 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               
                                 N 
                                 1 
                               
                             
                             ≧ 
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               and 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               x 
                             
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   4 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             
                               N 
                               2 
                             
                             . 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 90-5 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 4) 
               
               
                 N 1  &gt; 1, N 2  &gt; 1 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x,4x+4,y,y,0   (4)   
                 W 4x,4x+4,y,y,1   (4)   
                 W 4x+1,4x+5,y,y,0   (4)   
                 W 4x+1,4x+5,y,y,1   (4)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x,4x,y,y+4,0   (4)   
                 W 4x,4x,y,y+4,1   (4)   
                 W 4x+1,4x+1,y,y+4,0   (4)   
                 W 4x+1,4x+1,y,y+4,1   (4)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x+2,4x+6,y,y,0   (4)   
                 W 4x+2,4x+6,y,y,1   (4)   
                 W 4x+3,4x+7,y,y,0   (4)   
                 W 4x+3,4x+7,y,y,1   (4)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W 4x+2,4x+2,y,y+4,0   (4)   
                 W 4x+2,4x+2,y,y+4,1   (4)   
                 W 4x+3,4x+3,y,y+4,0   (4)   
                 W 4x+3,4x+3,y,y+4,1   (4)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                             
                               
                                   
                               
                               ⁢ 
                               
                                   
                               
                             
                             ⁢ 
                             x 
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 
                                   m 
                                   ′ 
                                 
                                 ⁢ 
                                 n 
                               
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   4 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             
                               if 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               
                                 N 
                                 1 
                               
                             
                             ≧ 
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               and 
                               ⁢ 
                               
                                   
                               
                               ⁢ 
                               x 
                             
                           
                           = 
                           
                             i 
                             
                               1 
                               , 
                               2 
                             
                           
                         
                         , 
                         
                           y 
                           = 
                           
                             i 
                             
                               1 
                               , 
                               1 
                             
                           
                         
                         , 
                         
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   4 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         , 
                         
                           
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             
                               N 
                               2 
                             
                             . 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 90-6 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P (Codebook-Config No. 4) 
               
               
                 N 2  = 1 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0 
                 W 4i     1,1   ,  4i     1,1     +4, 0, 0, 0   (4)   
                 W 4i     1,1     , 4i     1,1     +4, 0, 0, 1   (4)   
                 W 4i     1,1     +1, 4i     1,1     +5, 0, 0, 0   (4)   
                 W 4i     1,1     +1, 4i     1,1     +5, 0, 0, 1   (4)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0 
                 W 4i     1,1     , 4i     1,1     +8, 0, 0, 0   (4)   
                 W 4i     1,1     , 4i     1,1     +8, 0, 0, 1   (4)   
                 W 4i     1,1     +1, 4i     1,1     +9, 0, 0, 0   (4)   
                 W 4i     1,1     +1, 4i     1,1     +9, 0, 0, 1   (4)   
               
               
                   
                 2N 1 , . . . , 3N 1  − 1 
                 0 
                 W 4i     1,1     , 4i     1,1     +12, 0, 0, 0   (4)   
                 W 4i     1,1     , 4i     1,1     +12, 0, 0, 1   (4)   
                 W 4i     1,1     +1, 4i     1,1     +13, 0, 0, 0   (4)   
                 W 4i     1,1     +1, 4i     1,1     +13, 0, 0, 1   (4)   
               
               
                   
               
               
                 Value of 
                   
                   
                   
                   
                   
                   
               
            
           
           
               
               
               
               
            
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 0, . . . , N 1  − 1 
                 0 
                 W 4i     1,1     +2, 4i     1,1     +6, 0, 0, 0   (4)   
                 W 4i     1,1     +2, 4i     1,1     +6, 0, 0, 1   (4)   
                 W 4i     1,1     +3, 4i     1,1     +7, 0, 0, 0   (4)   
                 W 4i     1,1     +3, 4i     1,1     +7, 0, 0, 1   (4)   
               
               
                   
                 N 1 , . . . , 2N 1  − 1 
                 0 
                 W 4i     1,1     +2, 4i     1,1     +10, 0, 0, 0   (4)   
                 W 4i     1,1     +2, 4i     1,1     +10, 0, 0, 1   (4)   
                 W 4i     1,1     +3, 4i     1,1     +11, 0, 0, 0   (4)   
                 W 4i     1,1     +3, 4i     1,1     +11, 0, 0, 1   (4)   
               
               
                   
                 2N 1 , . . . , 3N 1  − 1 
                 0 
                 W 4i     1,1     +2, 4i     1,1     +14, 0, 0, 0   (4)   
                 W 4i     1,1     +2, 4i     1,1     +14, 0, 0, 1   (4)   
                 W 4i     1,1     +3, 4i     1,1     +15, 0, 0, 0   (4)   
                 W 4i     1,1     +3, 4i     1,1     +15, 0, 0, 1   (4)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 4 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                         ⁢ 
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 Table 91-1 
               
             
            
               
                   
               
               
                 Codebook for 5-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 8, N 1  = N 2   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +O     1     ,i     1,2     ,i     1,2     ,i     1,2     +O     2     (5)   
               
               
                 2-4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 2  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     ,i     1,2     +4   (5)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           W 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             
                               l 
                               ″ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             
                               m 
                               ″ 
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     P 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ″ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ″ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   O 
                                                   1 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               l 
                                             
                                             , 
                                             
                                               
                                                 
                                                   O 
                                                   2 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   O 
                                                   1 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               
                                                 l 
                                                 ′ 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   O 
                                                   2 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ″ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ″ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             for 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             Codebook 
                             ⁢ 
                             
                               - 
                             
                             ⁢ 
                             Config 
                           
                           = 
                           
                             2 
                             ⁢ 
                             
                               - 
                             
                             ⁢ 
                             4 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           W 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             
                               l 
                               ″ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             
                               m 
                               ″ 
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     P 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ″ 
                                           
                                           , 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ″ 
                                           
                                           , 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             for 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             Codebook 
                             ⁢ 
                             
                               - 
                             
                             ⁢ 
                             Config 
                           
                           = 
                           1 
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 91-2 
               
             
            
               
                   
               
               
                 Codebook for 5-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 12, 16, N 1  &gt; 1, N 2  &gt; 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +O     1     ,i     1,2     ,i     1,2     ,i     1,2     +O     2     (5)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                             
                             
                               ( 
                               5 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 5 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 91-3 
               
             
            
               
                   
               
               
                 Codebook for 5-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 16, N 2  = 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i,     1,1     ,i     1,1     +O     1     ,i     1,1     +2O     1     ,i     1,2     ,i     1,2     ,i     1,2     (5)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                             
                             
                               ( 
                               5 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 5 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 91-4 
               
             
            
               
                   
               
               
                 Codebook for 5-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 12, 16 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     ,i     1,2     +4   (5)  if N 1  &gt; 1, N 2  &gt; 1 
               
               
                 3 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,2     ,i     1,2     ,i     1,2     +4   (5)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     +4,i     1,2     ,i     1,2     +4,i     1,2     +8   (5)  if N 1  &lt; N 2   
               
               
                 4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,2     ,i     1,2     ,i     1,2     (5)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     +4,i     1,2     +8   (5)  if N 1  &lt; N 2   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             Where 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 
                                   l 
                                   ″ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 
                                   m 
                                   ″ 
                                 
                               
                               
                                 ( 
                                 5 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   5 
                                   ⁢ 
                                   P 
                                 
                               
                             
                             ⁡ 
                             
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ″ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       - 
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ″ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                         
                         ⁢ 
                         
                             
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 92-1 
               
             
            
               
                   
               
               
                 Codebook for 6-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 8, N 1  = N 2   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 0, . . . , O 1 N 1  − 1 
                 0, 0, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +O     1     ,i     1,2     ,i     1,2     ,i     1,2     +O     2     (6)   
               
               
                 2-4 
                 0,1, . . . , 4N 1  − 1 
                 0,1, . . . , 4N 2  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     +4   (6)   
               
               
                   
               
               
                 where 
               
               
                 
                   
                     
                       
                         
                           W 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             
                               l 
                               ″ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             
                               m 
                               ″ 
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     P 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ″ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ″ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ″ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ″ 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             l 
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   O 
                                                   1 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               l 
                                             
                                             , 
                                             
                                               
                                                 
                                                   O 
                                                   2 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ′ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   O 
                                                   1 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               
                                                 l 
                                                 ′ 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   O 
                                                   2 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 O 
                                                 1 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               l 
                                               ″ 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 O 
                                                 2 
                                               
                                               4 
                                             
                                             ⁢ 
                                             
                                               m 
                                               ″ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   O 
                                                   1 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               
                                                 l 
                                                 ″ 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   O 
                                                   2 
                                                 
                                                 4 
                                               
                                               ⁢ 
                                               
                                                 m 
                                                 ″ 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             for 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             Codebook 
                             ⁢ 
                             
                               - 
                             
                             ⁢ 
                             Config 
                           
                           = 
                           
                             2 
                             ⁢ 
                             
                               - 
                             
                             ⁢ 
                             4 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           W 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             
                               l 
                               ″ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             
                               m 
                               ″ 
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     P 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ″ 
                                           
                                           , 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ″ 
                                           
                                           , 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             l 
                                             ″ 
                                           
                                           , 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               l 
                                               ″ 
                                             
                                             , 
                                             
                                               m 
                                               ″ 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             for 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             Codebook 
                             ⁢ 
                             
                               - 
                             
                             ⁢ 
                             Config 
                           
                           = 
                           1 
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 92-2 
               
             
            
               
                   
               
               
                 Codebook for 6-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 12, 16 N 1  &gt; 1, N 2  &gt; 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +O     1     ,i     1,2     ,i     1,2     ,i     1,2     +O     2     (6)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                             
                             
                               ( 
                               6 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 6 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ″ 
                                         
                                         , 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 92-3 
               
             
            
               
                   
               
               
                 Codebook for 6-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 16, N 2  = 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +2O     1     ,i     1,2     ,i     1,2     ,i     1,2     (6)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                             
                             
                               ( 
                               6 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 6 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ″ 
                                         
                                         , 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 92-4 
               
             
            
               
                   
               
               
                 Codebook for 6-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 12, 16 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     ,i     1,2     +4   (6)  if N 1  &gt; 1, N 2  &gt; 1 
               
               
                 3 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     ,i     1,2     +4   (6)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     +4,i     1,2     ,i     1,2     +4,i     1,2     +8   (6)  if N 1  &lt; N 2   
               
               
                 4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,2     ,i     1,2     ,i     1,2     (6)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     +4,i     1,2     +8   (6)  if N 1  &lt; N 2   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           Where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                             
                             
                               ( 
                               6 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 6 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ″ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 93-1 
               
             
            
               
                   
               
               
                 Codebook for 7-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 8, N 1  − N 2   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +O     1     ,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +O     2     ,i     1,2     +O     2     (7)   
               
               
                 2-4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 2  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (7)   
               
               
                   
               
               
                 where 
               
               
                           W     l   ,     l   ′     ,     l   ″     ,       l   ′′′     ⁢   m     ,     m   ′     ,     m   ″     ,     m   ′′′         (   7   )       =       1       7   ⁢   P         ⁡     [           v           O   1     4     ⁢   l     ,         O   2     4     ⁢   m               v           O   1     4     ⁢   l     ,         O   2     4     ⁢   m               v           O   1     4     ⁢     l   ′       ,         O   2     4     ⁢     m   ′                 v           O   1     4     ⁢     l   ′       ,         O   2     4     ⁢     m   ′                 v           O   1     4     ⁢     l   ″       ,         O   2     4     ⁢     m   ″                 v           O   1     4     ⁢     l   ″       ,         O   2     4     ⁢     m   ″                 v           O   1     4     ⁢     l   ′′′       ,         O   2     4     ⁢     m   ′′′                     v           O   1     4     ⁢   l     ,         O   2     4     ⁢   m               -     v           O   1     4     ⁢   l     ,         O   2     4     ⁢   m                 v           O   1     4     ⁢     l   ′       ,         O   2     4     ⁢     m   ′                 -     v           O   1     4     ⁢     l   ′       ,         O   2     4     ⁢     m   ′                   v           O   1     4     ⁢     l   ″       ,         O   2     4     ⁢     m   ″                 -     v           O   1     4     ⁢     l   ″       ,         O   2     4     ⁢     m   ″                   v           O   1     4     ⁢     l   ′′′       ,         O   2     4     ⁢     m   ′′′                 ]           
for Codebook-Config = 2-4 
               
               
                           W     l   ,     l   ′     ,     l   ″     ,       l   ′′′     ⁢   m     ,     m   ′     ,     m   ″     ,     m   ′′′         (   7   )       =       1       7   ⁢   P         ⁡     [           v     l   ,   m             v     l   ,   m             v       l   ′     ,     m   ′               v       l   ′     ,     m   ′               v       l   ″     ,     m   ″               v       l   ″     ,     m   ″               v       l   ′′′     ,     m   ′′′                   v     l   ,   m             -     v     l   ,   m               v       l   ′     ,     m   ′               -     v       l   ′     ,     m   ′                 v       l   ″     ,     m   ″               -     v       l   ″     ,     m   ″                 v       l   ′′′     ,     m   ′′′               ]           
for Codebook-Config = 1 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 93-2 
               
             
            
               
                   
               
               
                 Codebook for 7-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 12, 16 N 1  &gt; 1, N 2  &gt; 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +O     1     ,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +O     2     ,i     1,2     +O     2     (7)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               
                                 l 
                                 ′′′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                               , 
                               
                                 m 
                                 ′′′ 
                               
                             
                             
                               ( 
                               7 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 7 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ″ 
                                         
                                         , 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 93-3 
               
             
            
               
                   
               
               
                 Codebook for 7-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 16, N 2  = 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +2O     1     ,i     1,1     +3O     1     ,i     1,2     ,i     1,2     ,i     1,2     ,i     1,2     (7)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               
                                 l 
                                 ′′′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                               , 
                               
                                 m 
                                 ′′′ 
                               
                             
                             
                               ( 
                               7 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 7 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ″ 
                                         
                                         , 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 93-4 
               
             
            
               
                   
               
               
                 Codebook for 7-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 12 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (7)  if N 1  &gt; 1, N 2  &gt; 1 
               
               
                 3 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (7)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     +4,i     1,     2+8,i     1,2     +4   (7)  if N 1  &lt; N 2   
               
               
                 4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     ,i     1,2     +4   (7)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     ,i     1,1     +4,i     1,2     ,i     1,2     +4,i     1,2     +8,i     1,2     (7)  if N 1  &lt; N 2   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           Where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               
                                 
                                   l 
                                   ′′′ 
                                 
                                 ⁢ 
                                 m 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                               , 
                               
                                 m 
                                 ′′′ 
                               
                             
                             
                               ( 
                               7 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 7 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ″ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 93-5 
               
             
            
               
                   
               
               
                 Codebook for 7-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 16 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (7)  if N 1  &gt; 1, N 2  &gt; 1 
               
               
                 3 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,1     +12,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (7)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     +4,i     1,2     +8,i     1,2     +12   (7)  if N 1  &lt; N 2   
               
               
                 4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,1     +12,i     1,2     ,i     1,2     ,i     1,2     ,i     1,2     (7)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     +4,i     1,2     +8,i     1,2     +12   (7)  if N 1  &lt; N 2   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           Where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               
                                 
                                   l 
                                   ′′′ 
                                 
                                 ⁢ 
                                 m 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                               , 
                               
                                 m 
                                 ′′′ 
                               
                             
                             
                               ( 
                               7 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 7 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ″ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 94-1 
               
             
            
               
                   
               
               
                 Codebook for 8-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 8, N 1  = N 2   
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +O     1     ,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +O     2     ,i     1,2     +O     2     (8)   
               
               
                 2-4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 2  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (8)   
               
               
                   
               
               
                 where 
               
               
                           W     l   ,     l   ′     ,     l   ″     ,     l   ′′′     ,   m   ,     m   ′     ,     m   ″     ,     m   ′′′         (   8   )       =       1       8   ⁢   P         ⁡     [           v           O   1     4     ⁢   l     ,         O   2     4     ⁢   m               v           O   1     4     ⁢   l     ,         O   2     4     ⁢   m               v           O   1     4     ⁢     l   ′       ,         O   2     4     ⁢     m   ′                 v           O   1     4     ⁢     l   ′       ,         O   2     4     ⁢     m   ′                 v           O   1     4     ⁢     l   ″       ,         O   2     4     ⁢     m   ″                 v           O   1     4     ⁢     l   ″       ,         O   2     4     ⁢     m   ″                 v           O   1     4     ⁢     l   ′′′       ,         O   2     4     ⁢     m   ′′′                 v           O   1     4     ⁢     l   ′′′       ,         O   2     4     ⁢     m   ′′′                     v           O   1     4     ⁢   l     ,         O   2     4     ⁢   m               -     v           O   1     4     ⁢   l     ,         O   2     4     ⁢   m                 v           O   1     4     ⁢     l   ′       ,         O   2     4     ⁢     m   ′                 -     v           O   1     4     ⁢     l   ′       ,         O   2     4     ⁢     m   ′                   v           O   1     4     ⁢     l   ″       ,         O   2     4     ⁢     m   ″                 -     v           O   1     4     ⁢     l   ″       ,         O   2     4     ⁢     m   ″                   v           O   1     4     ⁢     l   ′′′       ,         O   2     4     ⁢     m   ′′′                 -     v           O   1     4     ⁢     l   ′′′       ,         O   2     4     ⁢     m   ′′′                   ]           
for Codebook-Config = 2-4 
               
               
                           W     l   ,     l   ′     ,     l   ″     ,     l   ′′′     ,   m   ,     m   ′     ,     m   ″     ,     m   ′′′         (   8   )       =       1       8   ⁢   P         ⁡     [           v     l   ,   m             v     l   ,   m             v       l   ′     ,     m   ′               v       l   ′     ,     m   ′               v       l   ″     ,     m   ″               v       l   ″     ,     m   ″               v       l   ′′′     ,     m   ′′′               v       l   ′′′     ,     m   ′′′                   v     l   ,   m             -     v     l   ,   m               v       l   ′     ,     m   ′               -     v       l   ′     ,     m   ′                 v       l   ″     ,     m   ″               -     v       l   ″     ,     m   ″                 v       l   ′′′     ,     m   ′′′               -     v       l   ′′′     ,     m   ′′′                 ]           
for Codebook-Config = 1 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 94-2 
               
             
            
               
                   
               
               
                 Codebook for 8-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 12, 16 N 1  &gt; 1, N 2  &gt; 1 
               
            
           
           
               
               
               
               
            
               
                 Value of 
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +O     1     ,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +O     2     ,i     1,2     +O     2     (8)   
               
               
                   
               
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               
                                 l 
                                 ′′′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                               , 
                               
                                 m 
                                 ′′′ 
                               
                             
                             
                               ( 
                               8 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 8 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ″ 
                                         
                                         , 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′′′ 
                                         
                                         , 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 94-3 
               
               
                   
               
             
            
               
                 Codebook for 8-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 16, N 2  = I 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     +O     1     ,i     1,1     +2O     1     ,i     1,1     +3O     1     ,i     1,2     ,i     1,2     ,i     1,2     ,i     1,2     (8)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               
                                 l 
                                 ′′′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                               , 
                               
                                 m 
                                 ′′′ 
                               
                             
                             
                               ( 
                               8 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 8 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ″ 
                                       
                                       , 
                                       
                                         m 
                                         ″ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ″ 
                                         
                                         , 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′′′ 
                                       
                                       , 
                                       
                                         m 
                                         ′′′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′′′ 
                                         
                                         , 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 94-4 
               
             
            
               
                   
               
               
                 Codebook for 8-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 12 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (8)  if N 1  &gt; 1, N 2  &gt; 1 
               
               
                 3 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,1     +4,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (8)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     +4,i     1,2     +8,i     1,2     +4   (8)  if N 1  &lt; N 2   
               
               
                 4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     ,i     1,2     +4   (8)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     ,i     1,1     +4,i     1,2     ,i     1,2     +4,i     1,2     +8,i     1,2     (8)  if N 1  &lt; N 2   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           Where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               
                                 l 
                                 ′′′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                               , 
                               
                                 m 
                                 ′′′ 
                               
                             
                             
                               ( 
                               8 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 8 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ″ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′′′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′′′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 94-5 
               
             
            
               
                   
               
               
                 Codebook for 8-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                 P = 16 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,1     ,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (8)  if N 1  &gt; 1, N 2  &gt; 1 
               
               
                 3 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,1     +12,i     1,2     ,i     1,2     ,i     1,2     +4,i     1,2     +4   (8)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     +4,i     1,1     +4,i     1,2     ,i     1,2     +4,i     1,2     +8,i     1,2     +12   (8)  if N 1  &lt; N 2   
               
               
                 4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 W i     1,1     ,i     1,1     +4,i     1,1     +8,i     1,1     +12,i     1,2     ,i     1,2     ,i     1,2     ,i     1,2     (8)  if N 1  ≧ N 2   
               
               
                   
                   
                   
                 W i     1,1     ,i     1,1     ,i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     +4,i     1,2     +8,i     1,2     +12   (8)  if N 1  &lt; N 2   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           Where 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 l 
                                 ″ 
                               
                               , 
                               
                                 l 
                                 ′′′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ″ 
                               
                               , 
                               
                                 m 
                                 ′′′ 
                               
                             
                             
                               ( 
                               8 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 8 
                                 ⁢ 
                                 P 
                               
                             
                           
                           ⁡ 
                           
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         l 
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           l 
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ″ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ″ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ″ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ″ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           l 
                                           ′′′ 
                                         
                                       
                                       , 
                                       
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                         ⁢ 
                                         
                                           m 
                                           ′′′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     - 
                                     
                                       v 
                                       
                                         
                                           
                                             
                                               O 
                                               1 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             l 
                                             ′′′ 
                                           
                                         
                                         , 
                                         
                                           
                                             
                                               O 
                                               2 
                                             
                                             4 
                                           
                                           ⁢ 
                                           
                                             m 
                                             ′′′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 95-1 
               
               
                   
               
             
            
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,2     ,0   (1)   
                 W i     1,1     ,i     1,2     ,1   (1)   
                 W i     1,1     ,i     1,2     ,2   (1)   
                 W i     1,1     ,i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         m 
                                         , 
                                         n 
                                       
                                       
                                         ( 
                                         1 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         P 
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       1 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         P 
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 95-2 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     ,2i     1,2     ,0   (1)   
                 W 2i     1,1     ,2i     1,2     ,1   (1)   
                 W 2i     1,1     ,2i     1,2     ,2   (1)   
                 W 2i     1,1     ,2i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     +1,2i     1,2     ,0   (1)   
                 W 2i     1,1     +1,2i     1,2     ,1   (1)   
                 W 2i     1,1     +1,2i     1,2     ,2   (1)   
                 W 2i     1,1     +1,2i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     ,2i     1,2     +1,0   (1)   
                 W 2i     1,1     ,2i     1,2     +1,1   (1)   
                 W 2i     1,1     ,2i     1,2     +1,1   (1)   
                 W 2i     1,1     ,2i     1,2     +1,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     +1,2i     1,2     +1,0   (1)   
                 W 2i     1,1     +1,2i     1,2     +1,1   (1)   
                 W 2i     1,1     +1,2i     1,2     +1,2   (1)   
                 W 2i     1,1     +1,2i     1,2     +1,3   (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         m 
                                         , 
                                         n 
                                       
                                       
                                         ( 
                                         1 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         P 
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       1 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         P 
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 95-2 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     ,2i     1,2     ,0   (1)   
                 W 2i     1,1     ,2i     1,2     ,1   (1)   
                 W 2i     1,1     ,2i     1,2     ,2   (1)   
                 W 2i     1,1     ,2i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     +2,2i     1,2     ,0   (1)   
                 W 2i     1,1     +2,2i     1,2     ,1   (1)   
                 W 2i     1,1     +2,2i     1,2     ,2   (1)   
                 W 2i     1,1     +2,2i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     +1,2i     1,2     +1,0   (1)   
                 W 2i     1,1     +1,2i     1,2     +1,1   (1)   
                 W 2i     1,1     +1,2i     1,2     +1,2   (1)   
                 W 2i     1,1     +1,2i     1,2     +1,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     +3,2i     1,2     +1,0   (1)   
                 W 2i     1,1     +3,2i     1,2     +1,1   (1)   
                 W 2i     1,1     +3,2i     1,2     +1,2   (1)   
                 W 2i     1,1     +3,2i     1,2     +1,3   (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         n 
                                       
                                       
                                         ( 
                                         1 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         P 
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 
                                                     
                                                 
                                                 ⁢ 
                                                 m 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       n 
                                     
                                     
                                       ( 
                                       1 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         P 
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 
                                                     
                                                 
                                                 ⁢ 
                                                 l 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 95-3 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     ,2i     1,2     ,0   (1)   
                 W 2i     1,1     ,2i     1,2     ,1   (1)   
                 W 2i     1,1     ,2i     1,2     ,2   (1)   
                 W 2i     1,1     ,2i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 4 
                 5 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     +1,2i     1,2     ,0   (1)   
                 W 2i     1,1     +1,2i     1,2     ,1   (1)   
                 W 2i     1,1     +1,2i     1,2     ,2   (1)   
                 W 2i     1,1     +1,2i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 8 
                 9 
                 10 
                 11 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     +2,2i     1,2     ,0   (1)   
                 W 2i     1,1     +2,2i     1,2     ,1   (1)   
                 W 2i     1,1     +2,2i     1,2     ,2   (1)   
                 W 2i     1,1     +2,2i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
                 15 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 1 
                               
                               ⁢ 
                               
                                 O 
                                 1 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         0 
                         , 
                         1 
                         , 
                         … 
                         ⁢ 
                         
                             
                         
                         , 
                         
                           
                             
                               
                                 N 
                                 2 
                               
                               ⁢ 
                               
                                 O 
                                 2 
                               
                             
                             2 
                           
                           - 
                           1 
                         
                       
                     
                   
                 
                 W 2i     1,1     +3,2i     1,2     ,0   (1)   
                 W 2i     1,1     +3,2i     1,2     ,1   (1)   
                 W 2i     1,1     +3,2i     1,2     ,2   (1)   
                 W 2i     1,1     +3,2i     1,2     ,3   (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         n 
                                       
                                       
                                         ( 
                                         1 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         P 
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 
                                                     
                                                 
                                                 ⁢ 
                                                 m 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       n 
                                     
                                     
                                       ( 
                                       1 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         P 
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 
                                                     
                                                 
                                                 ⁢ 
                                                 l 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 96-1 
               
               
                   
               
             
            
               
                 Codebook for 2-layer CSI reporting using antenna ports 15 to 14 + P 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
                 3 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 W i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     ,0   (2)   
                 W i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     ,1   (2)   
                 W i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     ,2   (2)   
                 W i     1,1     ,i     1,1     ,i     1,2     ,i     1,2     ,3   (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         n 
                                       
                                       
                                         ( 
                                         2 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           2 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 
                                                     
                                                 
                                                 ⁢ 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       n 
                                     
                                     
                                       ( 
                                       2 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           2 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 96-2 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 6 
                 7 
                 8 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,1   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 9 
                 10 
                 11 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,1   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
               
               
                   
               
               
                 2 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     ,s     2     i     1,2     +p     2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     ,s     2     i     1,2     +p     2     ,1   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     +p     2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Value  
                   
                   
                   
               
               
                   
                 of Code- 
                   
                   
                   
               
               
                   
                 book- 
                   
                   
                 i 2   
               
               
                   
                 Config 
                 i 1,1   
                 i 1,2   
                 15 
               
               
                   
               
               
                   
                 2 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     +p     2     ,1   (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         n 
                                       
                                       
                                         ( 
                                         2 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           2 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 
                                                     
                                                 
                                                 ⁢ 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       n 
                                     
                                     
                                       ( 
                                       2 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           2 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     If 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt;= 
                                   
                                     N 
                                     2 
                                   
                                 
                                 , 
                                 
                                   
                                     then 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         O 
                                         1 
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     = 
                                     1 
                                   
                                 
                                 , 
                                 
                                   
                                     otherwise 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     = 
                                     1. 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 96-3 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,0   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 6 
                 7 
                 8 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,0   (2)   
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,1   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 9 
                 10 
                 11 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +p     2     ,1   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     +p     2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     +p     2     ,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
               
               
                   
               
               
                 3 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     ,s     2     i     1,2     +p     2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Value  
                   
                   
                   
               
               
                   
                 of Code- 
                   
                   
                   
               
               
                   
                 book- 
                   
                   
                 i 2   
               
               
                   
                 Config 
                 i 1,1   
                 i 1,2   
                 15 
               
               
                   
               
               
                   
                 3 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                               
                             
                           
                           
                             
                               
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                               
                             
                           
                           
                             
                               1 
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     ,s     2     i     1,2     +p     2     ,1   (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         n 
                                       
                                       
                                         ( 
                                         2 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           2 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 
                                                     
                                                 
                                                 ⁢ 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       n 
                                     
                                     
                                       ( 
                                       2 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           2 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 96-4 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
                 1 
                 2 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 3 
                 4 
                 5 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 6 
                 7 
                 8 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 9 
                 10 
                 11 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 12 
                 13 
                 14 
               
               
                   
               
               
                 4 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
                 W s     1     i     1,1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,0   (2)   
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                   
                 Value of  
                   
                   
                   
               
               
                   
                 Codebook- 
                   
                   
                 i 2   
               
               
                   
                 Config 
                 i 1,1   
                 i 1,2   
                 15 
               
               
                   
               
               
                   
                 4 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       1 
                                     
                                     ⁢ 
                                     
                                       O 
                                       1 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 0 
                                 , 
                                 1 
                                 , 
                                 … 
                                 ⁢ 
                                 
                                     
                                 
                                 , 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     
                                       N 
                                       2 
                                     
                                     ⁢ 
                                     
                                       O 
                                       2 
                                     
                                   
                                   2 
                                 
                                 - 
                                 1 
                               
                             
                           
                         
                       
                     
                   
                 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     ,s     2     i     1,2     ,1   (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         n 
                                       
                                       
                                         ( 
                                         2 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           2 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 
                                                     
                                                 
                                                 ⁢ 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       n 
                                     
                                     
                                       ( 
                                       2 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           2 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 97-1 
               
               
                   
               
             
            
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P 
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 0 
                 1 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W i     1,1     ,i     1,1     +δ     1     ,i     1,2     ,i     1,2     +δ     2     (3)   
                 {tilde over (W)} i     1,1     ,i     1,1     +δ     1     ,i     1,2     ,i     1,2     +δ     2     (3)   
               
               
                   
                   
                   
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if N 2  = 1 
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                       
                                         ( 
                                         3 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           1 
                                           
                                             
                                               3 
                                               ⁢ 
                                               P 
                                             
                                           
                                         
                                         ⁡ 
                                         
                                           [ 
                                           
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       l 
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       m 
                                                     
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       
                                                         l 
                                                         ′ 
                                                       
                                                       , 
                                                       
                                                         m 
                                                         ′ 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           ] 
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         
                                           W 
                                           ~ 
                                         
                                         
                                           l 
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                               
                                           
                                           ⁢ 
                                           m 
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         
                                           ( 
                                           3 
                                           ) 
                                         
                                       
                                     
                                     = 
                                     
                                       
                                         1 
                                         
                                           
                                             3 
                                             ⁢ 
                                             P 
                                           
                                         
                                       
                                       ⁡ 
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 - 
                                                 
                                                   v 
                                                   
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                     
                                       ( 
                                       3 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           1 
                                           
                                             
                                               3 
                                               ⁢ 
                                               P 
                                             
                                           
                                         
                                         ⁡ 
                                         
                                           [ 
                                           
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       m 
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       l 
                                                     
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       
                                                         m 
                                                         ′ 
                                                       
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       
                                                         l 
                                                         ′ 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           ] 
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         W 
                                         
                                           l 
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                               
                                           
                                           ⁢ 
                                           m 
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         
                                           ( 
                                           3 
                                           ) 
                                         
                                       
                                     
                                     = 
                                     
                                       
                                         1 
                                         
                                           
                                             3 
                                             ⁢ 
                                             P 
                                           
                                         
                                       
                                       ⁡ 
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 - 
                                                 
                                                   v 
                                                   
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 97-2 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 0 
                 1 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 W s     1     i     1,1     +δ     1     ,s     1     i     1,1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 2 
                 3 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 {tilde over (W)} s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +δ     1     ,s     1     i     1,1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 4 
                 5 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 W s     1     i     1,1     +p     1     +δ     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 6 
                 7 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 {tilde over (W)} s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +p     1     +δ     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 8 
                 9 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     (3)   
                 W s     1     i     1,1     +δ     1     ,s     1     i     1,1     ,s     2     i     1,2     +δ     2     +p     2     ,s     2     i     1,2     +p     2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 10 
                 11 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 {tilde over (W)} s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +δ     1     ,s     1     i     1,1     ,s     2     i     1,2     +δ     2     +p     2     ,s     2     i     1,2     +p     2     (2)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 12 
                 13 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     (3)   
                 W s     1     i     1,1     +p     1     +δ     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +δ     2     +p     2     ,s     2     i     1,2     +p     2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 14 
                 15 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 {tilde over (W)} s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +p     1     +δ     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +δ     2     +p     2     ,s     2     i     1,2     +p     2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                       
                                         ( 
                                         3 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           1 
                                           
                                             
                                               3 
                                               ⁢ 
                                               P 
                                             
                                           
                                         
                                         ⁡ 
                                         
                                           [ 
                                           
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       l 
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       m 
                                                     
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       
                                                         l 
                                                         ′ 
                                                       
                                                       , 
                                                       
                                                         m 
                                                         ′ 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           ] 
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         
                                           W 
                                           ~ 
                                         
                                         
                                           l 
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                               
                                           
                                           ⁢ 
                                           m 
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         
                                           ( 
                                           3 
                                           ) 
                                         
                                       
                                     
                                     = 
                                     
                                       
                                         1 
                                         
                                           
                                             3 
                                             ⁢ 
                                             P 
                                           
                                         
                                       
                                       ⁡ 
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 - 
                                                 
                                                   v 
                                                   
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                     
                                       ( 
                                       3 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           1 
                                           
                                             
                                               3 
                                               ⁢ 
                                               P 
                                             
                                           
                                         
                                         ⁡ 
                                         
                                           [ 
                                           
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       m 
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       l 
                                                     
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       
                                                         m 
                                                         ′ 
                                                       
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       
                                                         l 
                                                         ′ 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           ] 
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         W 
                                         
                                           l 
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                               
                                           
                                           ⁢ 
                                           m 
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         
                                           ( 
                                           3 
                                           ) 
                                         
                                       
                                     
                                     = 
                                     
                                       
                                         1 
                                         
                                           
                                             3 
                                             ⁢ 
                                             P 
                                           
                                         
                                       
                                       ⁡ 
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 - 
                                                 
                                                   v 
                                                   
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   ( 
                                   
                                     
                                       s 
                                       1 
                                     
                                     , 
                                     
                                       s 
                                       2 
                                     
                                   
                                   ) 
                                 
                                 = 
                                 
                                   
                                     
                                       ( 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           2 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           2 
                                         
                                       
                                       ) 
                                     
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     and 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       ( 
                                       
                                         
                                           p 
                                           1 
                                         
                                         , 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       ( 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                       
                                       ) 
                                     
                                     . 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 97-3 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 0 
                 1 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 W s     1     i     1,1     +2p     1     +δ     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 2 
                 3 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 {tilde over (W)} s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +2p     1     +δ     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 4 
                 5 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 W s     1     i     1,1     +3p     1     +δ     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 6 
                 7 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 {tilde over (W)} s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +3p     1     +δ     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 8 
                 9 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     (3)   
                 W s     1     i     1,1     +δ     1     ,s     1     i     1,1     ,s     2     i     1,2     +δ     2     +p     2     ,s     2     i     1,2     +p     2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 10 
                 11 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 {tilde over (W)} s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +δ     1     ,s     1     i     1,1     ,s     2     i     1,2     +δ     2     +p     2     ,s     2     i     1,2     +p     2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 12 
                 13 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , N 1  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     (3)   
                 W s     1     i     1,1     +p     1     +δ     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +δ     2     +p     2     ,s     2     i     1,2     +p     2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 14 
                 15 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , N 1  − 1 
                 (O 1 , 0),  
                 {tilde over (W)} s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +p     1     +δ     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +δ     2     +p     2     ,s     2     i     1,2     +p     2     (3)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                       
                                         ( 
                                         3 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           1 
                                           
                                             
                                               3 
                                               ⁢ 
                                               P 
                                             
                                           
                                         
                                         ⁡ 
                                         
                                           [ 
                                           
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       l 
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       m 
                                                     
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       
                                                         l 
                                                         ′ 
                                                       
                                                       , 
                                                       
                                                         m 
                                                         ′ 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           ] 
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         
                                           W 
                                           ~ 
                                         
                                         
                                           l 
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                               
                                           
                                           ⁢ 
                                           m 
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         
                                           ( 
                                           3 
                                           ) 
                                         
                                       
                                     
                                     = 
                                     
                                       
                                         1 
                                         
                                           
                                             3 
                                             ⁢ 
                                             P 
                                           
                                         
                                       
                                       ⁡ 
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 - 
                                                 
                                                   v 
                                                   
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                     
                                       ( 
                                       3 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           1 
                                           
                                             
                                               3 
                                               ⁢ 
                                               P 
                                             
                                           
                                         
                                         ⁡ 
                                         
                                           [ 
                                           
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       m 
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       l 
                                                     
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       
                                                         m 
                                                         ′ 
                                                       
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       
                                                         l 
                                                         ′ 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           ] 
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         W 
                                         
                                           l 
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                               
                                           
                                           ⁢ 
                                           m 
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         
                                           ( 
                                           3 
                                           ) 
                                         
                                       
                                     
                                     = 
                                     
                                       
                                         1 
                                         
                                           
                                             3 
                                             ⁢ 
                                             P 
                                           
                                         
                                       
                                       ⁡ 
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 - 
                                                 
                                                   v 
                                                   
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   ( 
                                   
                                     
                                       s 
                                       1 
                                     
                                     , 
                                     
                                       s 
                                       2 
                                     
                                   
                                   ) 
                                 
                                 = 
                                 
                                   
                                     
                                       ( 
                                       
                                         
                                           O 
                                           1 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           2 
                                         
                                       
                                       ) 
                                     
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     and 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       ( 
                                       
                                         
                                           p 
                                           1 
                                         
                                         , 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       ( 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                       
                                       ) 
                                     
                                     . 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 97-4 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 0 
                 1 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 W s     1     i     1,1     +δ     1     ,s     1     i     1,1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 {tilde over (W)} s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +δ     1     ,s     1     i     1,1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 4 
                 5 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 W s     1     i     1,1     +p     1     +δ     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 {tilde over (W)} s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +p     1     +δ     1     ,s     1     i     1,1     +p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 8 
                 9 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 W s     1     i     1,1     +2p     1     +δ     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 10 
                 11 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 {tilde over (W)} s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +2p     1     +δ     1     ,s     1     i     1,1     +2p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 12 
                 13 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 W s     1     i     1,1     +3p     1     +δ     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 14 
                 15 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 {tilde over (W)} s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     (3)   
                 {tilde over (W)} s     1     i     1,1     +3p     1     +δ     1     ,s     1     i     1,1     +3p     1     ,s     2     i     1,2     +δ     2     ,s     2     i     1,2     (3)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                             
                                         
                                         ⁢ 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                       
                                         ( 
                                         3 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           1 
                                           
                                             
                                               3 
                                               ⁢ 
                                               P 
                                             
                                           
                                         
                                         ⁡ 
                                         
                                           [ 
                                           
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     l 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     m 
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       l 
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       m 
                                                     
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       
                                                         l 
                                                         ′ 
                                                       
                                                       , 
                                                       
                                                         m 
                                                         ′ 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           ] 
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         
                                           W 
                                           ~ 
                                         
                                         
                                           l 
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                               
                                           
                                           ⁢ 
                                           m 
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         
                                           ( 
                                           3 
                                           ) 
                                         
                                       
                                     
                                     = 
                                     
                                       
                                         1 
                                         
                                           
                                             3 
                                             ⁢ 
                                             P 
                                           
                                         
                                       
                                       ⁡ 
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   m 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 - 
                                                 
                                                   v 
                                                   
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                           
                                       
                                       ⁢ 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                     
                                       ( 
                                       3 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       
                                         
                                           1 
                                           
                                             
                                               3 
                                               ⁢ 
                                               P 
                                             
                                           
                                         
                                         ⁡ 
                                         
                                           [ 
                                           
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   v 
                                                   
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 
                                                   v 
                                                   
                                                     m 
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     l 
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       m 
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       l 
                                                     
                                                   
                                                 
                                               
                                               
                                                 
                                                   - 
                                                   
                                                     v 
                                                     
                                                       
                                                         m 
                                                         ′ 
                                                       
                                                       , 
                                                       
                                                           
                                                       
                                                       ⁢ 
                                                       
                                                         l 
                                                         ′ 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           ] 
                                         
                                       
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       and 
                                       ⁢ 
                                       
                                           
                                       
                                       ⁢ 
                                       
                                         W 
                                         
                                           l 
                                           , 
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                               
                                           
                                           ⁢ 
                                           m 
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                         
                                           ( 
                                           3 
                                           ) 
                                         
                                       
                                     
                                     = 
                                     
                                       
                                         1 
                                         
                                           
                                             3 
                                             ⁢ 
                                             P 
                                           
                                         
                                       
                                       ⁡ 
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   l 
                                                 
                                               
                                             
                                             
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                       
                                                   
                                                   ⁢ 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                             
                                               
                                                 - 
                                                 
                                                   v 
                                                   
                                                     
                                                       m 
                                                       ′ 
                                                     
                                                     , 
                                                     
                                                         
                                                     
                                                     ⁢ 
                                                     
                                                       l 
                                                       ′ 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   ( 
                                   
                                     
                                       s 
                                       1 
                                     
                                     , 
                                     
                                       s 
                                       2 
                                     
                                   
                                   ) 
                                 
                                 = 
                                 
                                   
                                     
                                       ( 
                                       
                                         
                                           O 
                                           1 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           2 
                                         
                                       
                                       ) 
                                     
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     and 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       ( 
                                       
                                         
                                           p 
                                           1 
                                         
                                         , 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       ( 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         , 
                                         — 
                                       
                                       ) 
                                     
                                     . 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 98-1 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 0 
                 1 
               
               
                   
               
               
                 1 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W i     1,1     ,i     1,1     +δ     1     ,i     1,2     ,i     1,2     +δ     2     ,0   (4)   
                 W i     1,1     ,i     1,1     +δ     1     ,i     1,2     ,i     1,2     +δ     2     ,1   (4)   
               
               
                   
                 O 1 N 1  − 1 
                 O 2 N 2  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if N 2  = 1 
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         n 
                                       
                                       
                                         ( 
                                         4 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           4 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           4 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 98-2 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 0 
                 1 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,0   (4)   
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,1   (4)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 2 
                 3 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,0   (4)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,1   (4)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 4 
                 5 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     ,0   (4)   
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     ,1   (4)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 6 
                 7 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 2N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     ,0   (4)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     ,1   (4)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         n 
                                       
                                       
                                         ( 
                                         4 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           4 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           4 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   ( 
                                   
                                     
                                       s 
                                       1 
                                     
                                     , 
                                     
                                       s 
                                       2 
                                     
                                   
                                   ) 
                                 
                                 = 
                                 
                                   
                                     
                                       ( 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           2 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           2 
                                         
                                       
                                       ) 
                                     
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     and 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       ( 
                                       
                                         
                                           p 
                                           1 
                                         
                                         , 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       ( 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                       
                                       ) 
                                     
                                     . 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 98-3 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 0 
                 1 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,0   (4)   
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,1   (4)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 2 
                 3 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,0   (4)   
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,1   (4)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 4 
                 5 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , 2N 2  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     ,0   (4)   
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     ,1   (4)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 6 
                 7 
               
               
                   
               
               
                 3 
                 0, 1, . . . , N 1  − 1 
                 0, 1, . . . , N 1  − 1 
                 (O 1 , 0),  
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     ,0   (4)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     +p     2     ,s     2     i     1,2     +δ     2     +p     2     ,1   (4)   
               
               
                   
                   
                   
                 (0, O 2 ) 
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         n 
                                       
                                       
                                         ( 
                                         4 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           4 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           4 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   ( 
                                   
                                     
                                       s 
                                       1 
                                     
                                     , 
                                     
                                       s 
                                       2 
                                     
                                   
                                   ) 
                                 
                                 = 
                                 
                                   
                                     
                                       ( 
                                       
                                         
                                           O 
                                           1 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           2 
                                         
                                       
                                       ) 
                                     
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     and 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       ( 
                                       
                                         
                                           p 
                                           1 
                                         
                                         , 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       ( 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                       
                                       ) 
                                     
                                     . 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 98-4 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports 15 to 14 + P 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 0 
                 1 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,0   (4)   
                 W s     1     i     1,1     ,s     1     i     1,1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,1   (4)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 2 
                 3 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,0   (4)   
                 W s     1     i     1,1     +p     1     ,s     1     i     1,1     +p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,1   (4)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 4 
                 5 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,0   (4)   
                 W s     1     i     1,1     +2p     1     ,s     1     i     1,1     +2p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,1   (4)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
               
               
               
               
            
               
                 Value of  
                   
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
               
            
               
                 Config 
                 i 1,1   
                 i 1,2   
                 (δ 1 , δ 2 ) 
                 6 
                 7 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  
                 0, 1, . . . ,  
                 (O 1 , 0), (0, O 2 ) if N 1 , N 2  &gt; 1 
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,0   (4)   
                 W s     1     i     1,1     +3p     1     ,s     1     i     1,1     +3p     1     +δ     1     ,s     2     i     1,2     ,s     2     i     1,2     +δ     2     ,1   (4)   
               
               
                   
                 N 1  − 1 
                 4N 1  − 1 
                 (O 1 , 0), (2O 1 , 0), (3O 1 , 0) if  
                   
                   
               
               
                   
                   
                   
                 N 1  = 1 
                   
                   
               
               
                   
                   
                   
                 (0, O 2 ), (0, 2O 2 ), (0, 3O 2 ) if  
                   
                   
               
               
                   
                   
                   
                 N 2  = 1 
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   
                                     where 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       W 
                                       
                                         l 
                                         , 
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         m 
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                         , 
                                         n 
                                       
                                       
                                         ( 
                                         4 
                                         ) 
                                       
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           4 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 l 
                                                 , 
                                                 m 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   l 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   m 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   l 
                                                   , 
                                                   m 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   ≥ 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       1 
                                       
                                         
                                           4 
                                           ⁢ 
                                           P 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 m 
                                                 , 
                                                 l 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   m 
                                                   ′ 
                                                 
                                                 , 
                                                 
                                                   l 
                                                   ′ 
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 φ 
                                                 n 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   m 
                                                   , 
                                                   l 
                                                 
                                               
                                             
                                           
                                           
                                             
                                               
                                                 - 
                                                 
                                                   φ 
                                                   n 
                                                 
                                               
                                               ⁢ 
                                               
                                                 v 
                                                 
                                                   
                                                     m 
                                                     ′ 
                                                   
                                                   , 
                                                   
                                                     l 
                                                     ′ 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                 
                                 , 
                                 
                                   
                                     if 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       N 
                                       1 
                                     
                                   
                                   &lt; 
                                   
                                     N 
                                     2 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   ( 
                                   
                                     
                                       s 
                                       1 
                                     
                                     , 
                                     
                                       s 
                                       2 
                                     
                                   
                                   ) 
                                 
                                 = 
                                 
                                   
                                     
                                       ( 
                                       
                                         
                                           O 
                                           1 
                                         
                                         , 
                                         
                                           
                                             O 
                                             2 
                                           
                                           4 
                                         
                                       
                                       ) 
                                     
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     and 
                                     ⁢ 
                                     
                                         
                                     
                                     ⁢ 
                                     
                                       ( 
                                       
                                         
                                           p 
                                           1 
                                         
                                         , 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ) 
                                     
                                   
                                   = 
                                   
                                     
                                       ( 
                                       
                                         
                                           
                                             O 
                                             1 
                                           
                                           4 
                                         
                                         , 
                                         — 
                                       
                                       ) 
                                     
                                     . 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 99 
               
             
            
               
                   
               
               
                 Codebook for 5-layer CSI reporting using antenna ports 15 to 14 + P 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                   
               
               
                 Codebook- 
                   
                   
                 i 2   
               
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . ,  O 1 N 1  − 1 
                 0, 1, . . . ,  O 2 N 2  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 2 
                 0, 1, . . . ,  4N 1  − 1 
                 0, 1, . . . ,  4N 1  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 3 
                 0, 1, . . . ,  4N 1  − 1 
                 0, 1, . . . ,  4N 1  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  4N 1  − 1 
                 0, 1, . . . ,  4N 1  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             5 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     5 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 100 
               
             
            
               
                   
               
               
                 Codebook for 6-layer CSI reporting using antenna ports 15 to 14 + P 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . , O 2 N 2  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 2 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 3 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 2 
                                                 ⁢ 
                                                 
                                                   O 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 2 
                                                 ⁢ 
                                                 
                                                   O 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . , 4N 1  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 2 
                                                 ⁢ 
                                                 
                                                   O 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             6 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     6 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               2 
                                               ⁢ 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 2 
                                                 ⁢ 
                                                 
                                                   O 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 101 
               
             
            
               
                   
               
               
                 Codebook for 7-layer CSI reporting using antenna ports 15 to 14 + P 
               
            
           
           
               
               
               
               
            
               
                 Value of  
                   
                   
                 i 2   
               
               
                 Codebook-Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1, . . . , O 1 N 1  − 1 
                 0, 1, . . . ,  O 2 N 2  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             7 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     7 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             7 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     7 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                 2 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . ,  4N 1  − 1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             7 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     7 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             7 
                             ) 
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     7 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                 3 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . ,  4N 1  − 1 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     7 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           7 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 ≥ 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   12 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     7 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           7 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 &lt; 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   12 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     7 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           7 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 ≥ 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   16 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     7 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           7 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 &lt; 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   16 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                 4 
                 0, 1, . . . , 4N 1  − 1 
                 0, 1, . . . ,  4N 1  − 1 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     7 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           7 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 ≥ 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   12 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     7 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           7 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 &lt; 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   12 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     7 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           7 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 ≥ 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   16 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     7 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           7 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 &lt; 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   16 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 102 
               
             
            
               
                   
               
               
                 Codebook for 8-layer CSI reporting using antenna ports 15 to 14 + P 
               
            
           
           
               
               
               
               
            
               
                 Value  
                   
                   
                   
               
               
                 of 
                   
                   
                   
               
               
                 Code- 
                   
                   
                   
               
               
                 book- 
                   
                   
                 i 2   
               
               
                 Config 
                 i 1,1   
                 i 1,2   
                 0 
               
               
                   
               
               
                 1 
                 0, 1,  . . . ,  O 1 N 1  − 1 
                 0, 1, . . . ,  O 2 N 2  −  1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             8 
                             ) 
                           
                         
                         = 
                         
                           
 
                         
                         ⁢ 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     8 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             8 
                             ) 
                           
                         
                         = 
                         
                           
 
                         
                         ⁢ 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     8 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 2 
                 0, 1, . . . ,  4N 1  −  1 
                 0, 1, . . . ,  4N 1  −  1 
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             8 
                             ) 
                           
                         
                         = 
                         
                           
 
                         
                         ⁢ 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     8 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           ≥ 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             ( 
                             8 
                             ) 
                           
                         
                         = 
                         
                           
 
                         
                         ⁢ 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     8 
                                     ⁢ 
                                     Q 
                                   
                                 
                               
                               ⁡ 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               s 
                                               2 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 2 
                                               
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               1 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 
                                                   s 
                                                   1 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     1 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         v 
                                         
                                           
                                             
                                               
                                                 s 
                                                 2 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   2 
                                                 
                                               
                                             
                                             + 
                                             
                                               O 
                                               2 
                                             
                                           
                                           , 
                                           
                                             
                                               s 
                                               1 
                                             
                                             ⁢ 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 1 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         - 
                                         
                                           v 
                                           
                                             
                                               
                                                 
                                                   s 
                                                   2 
                                                 
                                                 ⁢ 
                                                 
                                                   i 
                                                   
                                                     1 
                                                     , 
                                                     2 
                                                   
                                                 
                                               
                                               + 
                                               
                                                 O 
                                                 2 
                                               
                                             
                                             , 
                                             
                                               
                                                 s 
                                                 1 
                                               
                                               ⁢ 
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   1 
                                                 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             if 
                             ⁢ 
                             
                                 
                             
                             ⁢ 
                             
                               N 
                               1 
                             
                           
                           &lt; 
                           
                             N 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 3 
                 0, 1, . . . ,  4N 1  − 1 
                 0, 1, . . . ,  4N 1  − 1 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     8 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           8 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 ≥ 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   12 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     8 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           8 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 &lt; 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   12 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     8 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           8 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       3 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 ≥ 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   16 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     8 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           8 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       3 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 &lt; 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   16 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 4 
                 0, 1, . . . ,  4N 1  − 1 
                 0, 1, . . . ,  4N 1  − 1 
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     8 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           8 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 ≥ 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   12 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     8 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           8 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 &lt; 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   12 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     8 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           8 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     1 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       1 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         1 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           1 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       3 
                                                       ⁢ 
                                                       
                                                         O 
                                                         1 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 ≥ 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   16 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                   
                   
                   
                 
                   
                     
                       
                           
                         
                           
                             
                               
                                 
                                   W 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         1 
                                       
                                     
                                     , 
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     ( 
                                     8 
                                     ) 
                                   
                                 
                                 = 
                                 
                                   
 
                                 
                                 ⁢ 
                                 
                                   
                                     
                                       1 
                                       
                                         
                                           8 
                                           ⁢ 
                                           Q 
                                         
                                       
                                     
                                     ⁡ 
                                     
                                       [ 
                                       
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     s 
                                                     2 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     O 
                                                     2 
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                         
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     2 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       2 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               v 
                                               
                                                 
                                                   
                                                     
                                                       s 
                                                       2 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         2 
                                                       
                                                     
                                                   
                                                   + 
                                                   
                                                     3 
                                                     ⁢ 
                                                     
                                                       O 
                                                       2 
                                                     
                                                   
                                                 
                                                 , 
                                                 
                                                   
                                                     s 
                                                     1 
                                                   
                                                   ⁢ 
                                                   
                                                     i 
                                                     
                                                       1 
                                                       , 
                                                       1 
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                           
                                             
                                               - 
                                               
                                                 v 
                                                 
                                                   
                                                     
                                                       
                                                         s 
                                                         2 
                                                       
                                                       ⁢ 
                                                       
                                                         i 
                                                         
                                                           1 
                                                           , 
                                                           2 
                                                         
                                                       
                                                     
                                                     + 
                                                     
                                                       3 
                                                       ⁢ 
                                                       
                                                         O 
                                                         2 
                                                       
                                                     
                                                   
                                                   , 
                                                   
                                                     
                                                       s 
                                                       1 
                                                     
                                                     ⁢ 
                                                     
                                                       i 
                                                       
                                                         1 
                                                         , 
                                                         1 
                                                       
                                                     
                                                   
                                                 
                                               
                                             
                                           
                                         
                                       
                                       ] 
                                     
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   if 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   N 
                                   1 
                                 
                                 &lt; 
                                 
                                   
                                     N 
                                     2 
                                   
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   and 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   16 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   port 
                                   ⁢ 
                                   
                                       
                                   
                                   ⁢ 
                                   configuration