Patent Publication Number: US-2023140316-A1

Title: Method and apparatus to csi reporting using multiple antenna panels in advanced wireless communication systems

Description:
CROSS-REFERENCE TO RELATED APPLICATION(S) AND CLAIM OF PRIORITY 
     This application is a continuation of U.S. Non-Provisional patent application Ser. No. 17/175,492 filed on Feb. 12, 2021, which is a continuation of U.S. Non-Provisional patent application Ser. No. 16/684,481 filed on Nov. 14, 2019, now U.S. Pat. No. 10,944,459, which is a continuation of U.S. Non-Provisional patent application Ser. No. 15/961,616 filed on Apr. 24, 2018, now U.S. Pat. No. 10,536,205, and claims priority to U.S. Provisional Patent Application No. 62/490,296 filed on Apr. 26, 2017; U.S. Provisional Patent Application No. 62/492,591 filed on May 1, 2017; U.S. Provisional Patent Application No. 62/535,584 filed on Jul. 21, 2017; U.S. Provisional Patent Application No. 62/539,142 filed on Jul. 31, 2017; U.S. Provisional Patent Application No. 62/547,467 filed on Aug. 18, 2017; and U.S. Provisional Patent Application No. 62/548,744 filed on Aug. 22, 2017. The content of the above-identified patent documents is incorporated herein by reference. 
    
    
     TECHNICAL FIELD 
     The present disclosure relates generally to channel state information (CSI) reporting schemes for multiple antenna panels in advanced wireless communication systems. 
     BACKGROUND 
     Understanding and correctly estimating the channel in an advance wireless communication system between a user equipment (UE) and an eNode B (eNB) is important for efficient and effective wireless communication. In order to correctly estimate the channel conditions, the UE may report (e.g., feedback) information about channel measurement, e.g., CSI, to the eNB. With this information about the channel, the eNB is able to select appropriate communication parameters to efficiently and effectively perform wireless data communication with the UE. 
     SUMMARY 
     Embodiments of the present disclosure provide methods and apparatuses for CSI reporting in an advanced wireless communication system. 
     In one embodiment, a user equipment (UE) for CSI feedback is provided. The UE comprises a transceiver configured to receive, from a base station (BS), configuration information for the CSI feedback, the configuration information indicating a number of antenna panels (N g ) at the BS and a codebook mode, wherein N g &gt;1 and each of the antenna panels comprises antenna ports with a first polarization (P 1 ) and antenna ports with a second polarization (P 2 ). The UE further comprises a processor operably connected to the transceiver. The processor is configured to identify the number of antenna panels (N g ) at the BS, identify a codebook for the CSI feedback based on the codebook mode configured between a first codebook mode and a second codebook mode, and generate the CSI feedback using the identified codebook. The transceiver is further configured to transmit the generated CSI feedback to the BS. The codebook corresponding to the first codebook mode is used to generate the CSI feedback based on a wideband inter-panel co-phase that is common for a plurality of subbands configured for the CSI feedback. The codebook corresponding to the second codebook mode is used to generate the CSI feedback based on at least one of (i) a wideband inter-panel co-phase that is common for the plurality of subbands, and (ii) a subband inter-panel co-phase for each of the plurality of subbands. 
     In another embodiment, a BS is provided. The BS comprises a processor configured to generate configuration information for CSI feedback, the configuration information indicating a number of antenna panels (N g ) at the BS and a codebook mode, the codebook mode indicating a codebook for the CSI feedback and configured between a first codebook mode and a second codebook mode, wherein N g &gt;1 and each of the antenna panels comprises antenna ports with a first polarization (P 1 ) and antenna ports with a second polarization (P 2 ). The BS further comprises a transceiver operably connected to the processor. The transceiver is configured to transmit, to a UE, the configuration information and receive the CSI feedback from the UE generated in accordance with the indicated codebook. The codebook corresponding to the first codebook mode is used to generate the CSI feedback based on a wideband inter-panel co-phase that is common for a plurality of subbands configured for the CSI feedback. The codebook corresponding to the second codebook mode is used to generate the CSI feedback based on at least one of (i) a wideband inter-panel co-phase that is common for the plurality of subbands, and (ii) a subband inter-panel co-phase for each of the plurality of subbands. 
     In yet another embodiment, a method for CSI feedback by a UE is provided. The method comprises receiving, from a BS, configuration information for the CSI feedback, the configuration information indicating a number of antenna panels (N g ) at the BS and a codebook mode, wherein N g &gt;1 and each of the antenna panels comprises antenna ports with a first polarization (P 1 ) and antenna ports with a second polarization (P 2 ), identifying the number of antenna panels (N g ) at the BS, identifying a codebook for the CSI feedback based on the codebook mode configured between a first codebook mode and a second codebook mode, generating the CSI feedback using the identified codebook, and transmitting the generated CSI feedback to the BS. The codebook corresponding to the first codebook mode is used to generate the CSI feedback based on a wideband inter-panel co-phase that is common for a plurality of subbands configured for the CSI feedback. The codebook corresponding to the second codebook mode is used to generate the CSI feedback based on at least one of (i) a wideband inter-panel co-phase that is common for the plurality of subbands, and (ii) a subband inter-panel co-phase for each of the plurality of subbands. 
     Other technical features may be readily apparent to one skilled in the art from the following figures, descriptions, and claims. 
     Before undertaking the DETAILED DESCRIPTION below, it may be advantageous to set forth definitions of certain words and phrases used throughout this patent document. The term “couple” and its derivatives refer to any direct or indirect communication between two or more elements, whether or not those elements are in physical contact with one another. The terms “transmit,” “receive,” and “communicate,” as well as derivatives thereof, encompass both direct and indirect communication. The terms “include” and “comprise,” as well as derivatives thereof, mean inclusion without limitation. The term “or” is inclusive, meaning and/or. The phrase “associated with,” as well as derivatives thereof, means to include, be included within, interconnect with, contain, be contained within, connect to or with, couple to or with, be communicable with, cooperate with, interleave, juxtapose, be proximate to, be bound to or with, have, have a property of, have a relationship to or with, or the like. The term “controller” means any device, system or part thereof that controls at least one operation. Such a controller may be implemented in hardware or a combination of hardware and software and/or firmware. The functionality associated with any particular controller may be centralized or distributed, whether locally or remotely. The phrase “at least one of,” when used with a list of items, means that different combinations of one or more of the listed items may be used, and only one item in the list may be needed. For example, “at least one of: A, B, and C” includes any of the following combinations: A, B, C, A and B, A and C, B and C, and A and B and C. 
     Moreover, various functions described below can be implemented or supported by one or more computer programs, each of which is formed from computer readable program code and embodied in a computer readable medium. The terms “application” and “program” refer to one or more computer programs, software components, sets of instructions, procedures, functions, objects, classes, instances, related data, or a portion thereof adapted for implementation in a suitable computer readable program code. The phrase “computer readable program code” includes any type of computer code, including source code, object code, and executable code. The phrase “computer readable medium” includes any type of medium capable of being accessed by a computer, such as read only memory (ROM), random access memory (RAM), a hard disk drive, a compact disc (CD), a digital video disc (DVD), or any other type of memory. A “non-transitory” computer readable medium excludes wired, wireless, optical, or other communication links that transport transitory electrical or other signals. A non-transitory computer readable medium includes media where data can be permanently stored and media where data can be stored and later overwritten, such as a rewritable optical disc or an erasable memory device. 
     Definitions for other certain words and phrases are provided throughout this patent document. Those of ordinary skill in the art should understand that in many if not most instances, such definitions apply to prior as well as future uses of such defined words and phrases. 
    
    
     
       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 embodiments of the present disclosure; 
         FIG.  2    illustrates an example eNB according to embodiments of the present disclosure; 
         FIG.  3    illustrates an example UE according to embodiments of the present disclosure; 
         FIG.  4 A  illustrates a high-level diagram of an orthogonal frequency division multiple access transmit path according to embodiments of the present disclosure; 
         FIG.  4 B  illustrates a high-level diagram of an orthogonal frequency division multiple access receive path according to embodiments of the present disclosure; 
         FIG.  5    illustrates a transmitter block diagram for a PDSCH in a subframe according to embodiments of the present disclosure; 
         FIG.  6    illustrates a receiver block diagram for a PDSCH in a subframe according to embodiments of the present disclosure; 
         FIG.  7    illustrates a transmitter block diagram for a PUSCH in a subframe according to embodiments of the present disclosure; 
         FIG.  8    illustrates a receiver block diagram for a PUSCH in a subframe according to embodiments of the present disclosure; 
         FIG.  9    illustrates an example multiplexing of two slices according to embodiments of the present disclosure; 
         FIG.  10    illustrates an example antenna blocks according to embodiments of the present disclosure; 
         FIG.  11    illustrates an example network configuration according to embodiments of the present disclosure; 
         FIG.  12    illustrates an example multiple antenna panels according to embodiments of the present disclosure; 
         FIG.  13    illustrates an example multiple antenna panels with 2 ports per panel according to embodiments of the present disclosure; and 
         FIG.  14    illustrates a flowchart of a method for CSI feedback according to embodiments of the present disclosure. 
     
    
    
     DETAILED DESCRIPTION 
       FIG.  1    through  FIG.  14   , 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 system or device. 
     The following documents and standards descriptions are hereby incorporated by reference into the present disclosure as if fully set forth herein: 3GPP TS 36.211 v14.2.0, “E-UTRA, Physical channels and modulation;” 3GPP TS 36.212 v14.2.0, “E-UTRA, Multiplexing and Channel coding;” 3GPP TS 36.213 v14.2.0, “E-UTRA, Physical Layer Procedures;” 3GPP TS 36.321 v14.2.0, “E-UTRA, Medium Access Control (MAC) protocol specification;” and 3GPP TS 36.331 v14.2.0, “E-UTRA, Radio Resource Control (RRC) protocol specification;” 3GPP TR 22.891 v1.2.0. 
     Aspects, features, and advantages of the disclosure are readily apparent from the following detailed description, simply by illustrating a number of particular embodiments and implementations, including the best mode contemplated for carrying out the disclosure. The disclosure is also capable of other and different embodiments, and its several details can be modified in various obvious respects, all without departing from the spirit and scope of the disclosure. Accordingly, the drawings and description are to be regarded as illustrative in nature, and not as restrictive. The disclosure is illustrated by way of example, and not by way of limitation, in the figures of the accompanying drawings. 
     In the following, for brevity, both FDD and TDD are considered as the duplex method for both DL and UL signaling. 
     Although exemplary descriptions and embodiments to follow assume orthogonal frequency division multiplexing (OFDM) or orthogonal frequency division multiple access (OFDMA), this disclosure can be extended to other OFDM-based transmission waveforms or multiple access schemes such as filtered OFDM (F-OFDM). 
     The present disclosure covers several components which can be used in conjunction or in combination with one another, or can operate as standalone schemes. 
     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) bands, e.g., 60 GHz bands, so as to accomplish higher data rates. To decrease propagation loss of the radio waves and increase the transmission coverage, the beamforming, massive multiple-input multiple-output (MIMO), full dimensional MIMO (FD-MIMO), array antenna, an analog beam forming, large scale antenna techniques and the like 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 communication, moving network, cooperative communication, coordinated multi-points (CoMP) transmission and reception, interference mitigation and cancellation and the like. 
     In the 5G system, hybrid frequency shift keying and quadrature amplitude modulation (FQAM) and sliding window superposition coding (SWSC) as an adaptive modulation and coding (AMC) technique, 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. 
       FIGS.  1 - 4 B  below describe various embodiments implemented in wireless communications systems and with the use of orthogonal frequency division multiplexing (OFDM) or orthogonal frequency division multiple access (OFDMA) communication techniques. The descriptions of  FIGS.  1 - 3    are not meant to imply physical or architectural limitations to the manner in which different embodiments may be implemented. Different embodiments of the present disclosure may be implemented in any suitably-arranged communications system. 
       FIG.  1    illustrates an example wireless network according to embodiments of the present disclosure. The embodiment of the wireless network 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. 
     As shown in  FIG.  1   , the wireless network includes an 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 network  130 , such as the Internet, a proprietary Internet Protocol (IP) network, or other data network. 
     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), such as 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, LTE, LTE-A, WiMAX, WiFi, or other wireless communication techniques. 
     Depending on the network type, the term “base station” or “BS” can refer to any component (or collection of components) configured to provide wireless access to a network, such as transmit point (TP), transmit-receive point (TRP), an enhanced base station (eNodeB or eNB), a 5G base station (gNB), a macrocell, a femtocell, a WiFi access point (AP), or other wirelessly enabled devices. Base stations may provide wireless access in accordance with one or more wireless communication protocols, e.g., 5G 3GPP new radio interface/access (NR), long term evolution (LTE), LTE advanced (LTE-A), high speed packet access (HSPA), Wi-Fi 802.11a/b/g/n/ac, etc. For the sake of convenience, the terms “BS” and “TRP” are used interchangeably in this patent document to refer to network infrastructure components that provide wireless access to remote terminals. Also, depending on the network type, the term “user equipment” or “UE” can refer to any component such as “mobile station,” “subscriber station,” “remote terminal,” “wireless terminal,” “receive point,” 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 a BS, 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). 
     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 the UEs  111 - 116  include circuitry, programing, or a combination thereof, for efficient CSI reporting in an advanced wireless communication system. In certain embodiments, and one or more of the eNBs  101 - 103  includes circuitry, programing, or a combination thereof, for receiving efficient CSI reporting in an advanced wireless communication system. 
     Although  FIG.  1    illustrates one example of a wireless network, various changes may be made to  FIG.  1   . For example, the wireless network 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 eNBs  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. 
       FIG.  2    illustrates an example eNB  102  according to embodiments of the present disclosure. The embodiment of the eNB  102  illustrated in  FIG.  2    is for illustration only, and the eNBs  101  and  103  of  FIG.  1    could have the same or similar configuration. However, eNBs come in a wide variety of configurations, and  FIG.  2    does not limit the scope of this disclosure to any particular implementation of an eNB. 
     As shown in  FIG.  2   , the eNB  102  includes multiple antennas  205   a - 205   n , multiple RF transceivers  210   a - 210   n , transmit (TX) processing circuitry  215 , and receive (RX) processing circuitry  220 . The eNB  102  also includes a controller/processor  225 , a memory  230 , and a backhaul or network interface  235 . 
     The RF transceivers  210   a - 210   n  receive, from the antennas  205   a - 205   n , incoming RF signals, such as signals transmitted by UEs in the network  100 . The RF transceivers  210   a - 210   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  220 , which generates processed baseband signals by filtering, decoding, and/or digitizing the baseband or IF signals. The RX processing circuitry  220  transmits the processed baseband signals to the controller/processor  225  for further processing. 
     The TX processing circuitry  215  receives analog or digital data (such as voice data, web data, e-mail, or interactive video game data) from the controller/processor  225 . The TX processing circuitry  215  encodes, multiplexes, and/or digitizes the outgoing baseband data to generate processed baseband or IF signals. The RF transceivers  210   a - 210   n  receive the outgoing processed baseband or IF signals from the TX processing circuitry  215  and up-converts the baseband or IF signals to RF signals that are transmitted via the antennas  205   a - 205   n.    
     The controller/processor  225  can include one or more processors or other processing devices that control the overall operation of the eNB  102 . For example, the controller/processor  225  could control the reception of forward channel signals and the transmission of reverse channel signals by the RF transceivers  210   a - 210   n , the RX processing circuitry  220 , and the TX processing circuitry  215  in accordance with well-known principles. The controller/processor  225  could support additional functions as well, such as more advanced wireless communication functions. 
     For instance, the controller/processor  225  could support beam forming or directional routing operations in which outgoing signals from multiple antennas  205   a - 205   n  are weighted differently to effectively steer the outgoing signals in a desired direction. Any of a wide variety of other functions could be supported in the eNB  102  by the controller/processor  225 . 
     The controller/processor  225  is also capable of executing programs and other processes resident in the memory  230 , such as an OS. The controller/processor  225  can move data into or out of the memory  230  as required by an executing process. 
     The controller/processor  225  is also coupled to the backhaul or network interface  235 . The backhaul or network interface  235  allows the eNB  102  to communicate with other devices or systems over a backhaul connection or over a network. The interface  235  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  235  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  235  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  235  includes any suitable structure supporting communications over a wired or wireless connection, such as an Ethernet or RF transceiver. 
     The memory  230  is coupled to the controller/processor  225 . Part of the memory  230  could include a RAM, and another part of the memory  230  could include a Flash memory or other ROM. 
     Although  FIG.  2    illustrates one example of eNB  102 , various changes may be made to  FIG.  2   . For example, the eNB  102  could include any number of each component shown in  FIG.  2   . As a particular example, an access point could include a number of interfaces  235 , and the controller/processor  225  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  215  and a single instance of RX processing circuitry  220 , the eNB  102  could include multiple instances of each (such as one per RF transceiver). Also, various components in  FIG.  2    could be combined, further subdivided, or omitted and additional components could be added according to particular needs. 
       FIG.  3    illustrates an example UE  116  according to embodiments of the present disclosure. The embodiment of the UE  116  illustrated in  FIG.  3    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.  3    does not limit the scope of this disclosure to any particular implementation of a UE. 
     As shown in  FIG.  3   , the UE  116  includes an antenna  305 , a radio frequency (RF) transceiver  310 , TX processing circuitry  315 , a microphone  320 , and receive (RX) processing circuitry  325 . The UE  116  also includes a speaker  330 , a processor  340 , an input/output (I/O) interface (IF)  345 , a touchscreen  350 , a display  355 , and a memory  360 . The memory  360  includes an operating system (OS)  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 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 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 processor  340  can include one or more processors or other processing devices and execute the OS  361  stored in the memory  360  in order to control the overall operation of the UE  116 . For example, the 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 processor  340  includes at least one microprocessor or microcontroller. 
     The processor  340  is also capable of executing other processes and programs resident in the memory  360 , such as processes for CSI reporting on PUCCH. The processor  340  can move data into or out of the memory  360  as required by an executing process. In some embodiments, the processor  340  is configured to execute the applications  362  based on the OS  361  or in response to signals received from eNBs or an operator. The 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 processor  340 . 
     The processor  340  is also coupled to the touchscreen  350  and the display  355 . The operator of the UE  116  can use the touchscreen  350  to enter data into the UE  116 . The display  355  may be a liquid crystal display, light emitting diode 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 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.  3    illustrates one example of UE  116 , various changes may be made to  FIG.  3   . For example, various components in  FIG.  3    could be combined, further subdivided, or omitted and additional components could be added according to particular needs. As a particular example, the 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.  3    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.  4 A  is a high-level diagram of transmit path circuitry. For example, the transmit path circuitry may be used for an orthogonal frequency division multiple access (OFDMA) communication.  FIG.  4 B  is a high-level diagram of receive path circuitry. For example, the receive path circuitry may be used for an orthogonal frequency division multiple access (OFDMA) communication. In  FIGS.  4 A and  4 B , for downlink communication, the transmit path circuitry may be implemented in a base station (eNB)  102  or a relay station, and the receive path circuitry may be implemented in a user equipment (e.g. user equipment  116  of  FIG.  1   ). In other examples, for uplink communication, the receive path circuitry  450  may be implemented in a base station (e.g. eNB  102  of  FIG.  1   ) or a relay station, and the transmit path circuitry may be implemented in a user equipment (e.g. user equipment  116  of  FIG.  1   ). 
     Transmit path circuitry comprises channel coding and modulation block  405 , serial-to-parallel (S-to-P) block  410 , Size N Inverse Fast Fourier Transform (IFFT) block  415 , parallel-to-serial (P-to-S) block  420 , add cyclic prefix block  425 , and up-converter (UC)  430 . Receive path circuitry  450  comprises down-converter (DC)  455 , remove cyclic prefix block  460 , serial-to-parallel (S-to-P) block  465 , Size N Fast Fourier Transform (FFT) block  470 , parallel-to-serial (P-to-S) block  475 , and channel decoding and demodulation block  480 . 
     At least some of the components in  FIGS.  4 A   400  and  4 B  450  may be implemented in software, while other components may be implemented by configurable hardware or a mixture of software and configurable hardware. In particular, it is noted that the FFT blocks and the IFFT blocks described in this disclosure document may be implemented as configurable software algorithms, where the value of Size N may be modified according to the implementation. 
     Furthermore, although this disclosure is directed to an embodiment that implements the Fast Fourier Transform and the Inverse Fast Fourier Transform, this is by way of illustration only and may not be construed to limit the scope of the disclosure. It may be appreciated that in an alternate embodiment of the present disclosure, the Fast Fourier Transform functions and the Inverse Fast Fourier Transform functions may easily be replaced by discrete Fourier transform (DFT) functions and inverse discrete Fourier transform (IDFT) functions, respectively. It may be appreciated that for DFT and IDFT functions, the value of the N variable may be any integer number (i.e., 1, 4, 3, 4, etc.), while for FFT and IFFT functions, the value of the N variable may be any integer number that is a power of two (i.e., 1, 2, 4, 8, 16, etc.). 
     In transmit path circuitry  400 , channel coding and modulation block  405  receives a set of information bits, applies coding (e.g., LDPC coding) and modulates (e.g., quadrature phase shift keying (QPSK) or quadrature amplitude modulation (QAM)) the input bits to produce a sequence of frequency-domain modulation symbols. Serial-to-parallel block  410  converts (i.e., de-multiplexes) the serial modulated symbols to parallel data to produce N parallel symbol streams where N is the IFFT/FFT size used in BS  102  and UE  116 . Size N IFFT block  415  then performs an IFFT operation on the N parallel symbol streams to produce time-domain output signals. Parallel-to-serial block  420  converts (i.e., multiplexes) the parallel time-domain output symbols from Size N IFFT block  415  to produce a serial time-domain signal. Add cyclic prefix block  425  then inserts a cyclic prefix to the time-domain signal. Finally, up-converter  430  modulates (i.e., up-converts) the output of add cyclic prefix block  425  to RF frequency for transmission via a wireless channel. The signal may also be filtered at baseband before conversion to RF frequency. 
     The transmitted RF signal arrives at UE  116  after passing through the wireless channel, and reverse operations to those at eNB  102  are performed. Down-converter  455  down-converts the received signal to baseband frequency, and remove cyclic prefix block  460  removes the cyclic prefix to produce the serial time-domain baseband signal. Serial-to-parallel block  465  converts the time-domain baseband signal to parallel time-domain signals. Size N FFT block  470  then performs an FFT algorithm to produce N parallel frequency-domain signals. Parallel-to-serial block  475  converts the parallel frequency-domain signals to a sequence of modulated data symbols. Channel decoding and demodulation block  480  demodulates and then decodes the modulated symbols to recover the original input data stream. 
     Each of eNBs  101 - 103  may implement a transmit path that is analogous to transmitting in the downlink to user equipment  111 - 116  and may implement a receive path that is analogous to receiving in the uplink from user equipment  111 - 116 . Similarly, each one of user equipment  111 - 116  may implement a transmit path corresponding to the architecture for transmitting in the uplink to eNBs  101 - 103  and may implement a receive path corresponding to the architecture for receiving in the downlink from eNBs  101 - 103 . 
     5G communication system use cases have been identified and described. Those use cases can be roughly categorized into three different groups. In one example, enhanced mobile broadband (eMBB) is determined to do with high bits/sec requirement, with less stringent latency and reliability requirements. In another example, ultra-reliable and low latency (URLL) is determined with less stringent bits/sec requirement. In yet another example, massive machine type communication (mMTC) is determined that a number of devices can be as many as 100,000 to 1 million per km2, but the reliability/throughput/latency requirement could be less stringent. This scenario may also involve power efficiency requirement as well, in that the battery consumption may be minimized as possible. 
     A communication system includes a downlink (DL) that conveys signals from transmission points such as base stations (BS s) or NodeBs to user equipments (UEs) and an Uplink (UL) that conveys signals from UEs to reception points such as NodeBs. A UE, also commonly referred to as a terminal or a mobile station, may be fixed or mobile and may be a cellular phone, a personal computer device, or an automated device. An eNodeB, which is generally a fixed station, may also be referred to as an access point or other equivalent terminology. For LTE systems, a NodeB is often referred as an eNodeB. 
     In a communication system, such as LTE system, DL signals can include data signals conveying information content, control signals conveying DL control information (DCI), and reference signals (RS) that are also known as pilot signals. An eNodeB transmits data information through a physical DL shared channel (PDSCH). An eNodeB transmits DCI through a physical DL control channel (PDCCH) or an Enhanced PDCCH (EPDCCH). 
     An eNodeB transmits acknowledgement information in response to data transport block (TB) transmission from a UE in a physical hybrid ARQ indicator channel (PHICH). An eNodeB transmits one or more of multiple types of RS including a UE-common RS (CRS), a channel state information RS (CSI-RS), or a demodulation RS (DMRS). A CRS is transmitted over a DL system bandwidth (BW) and can be used by UEs to obtain a channel estimate to demodulate data or control information or to perform measurements. To reduce CRS overhead, an eNodeB may transmit a CSI-RS with a smaller density in the time and/or frequency domain than a CRS. DMRS can be transmitted only in the BW of a respective PDSCH or EPDCCH and a UE can use the DMRS to demodulate data or control information in a PDSCH or an EPDCCH, respectively. A transmission time interval for DL channels is referred to as a subframe and can have, for example, duration of 1 millisecond. 
     DL signals also include transmission of a logical channel that carries system control information. A BCCH is mapped to either a transport channel referred to as a broadcast channel (BCH) when the DL signals convey a master information block (MIB) or to a DL shared channel (DL-SCH) when the DL signals convey a System Information Block (SIB). Most system information is included in different SIB s that are transmitted using DL-SCH. A presence of system information on a DL-SCH in a subframe can be indicated by a transmission of a corresponding PDCCH conveying a codeword with a cyclic redundancy check (CRC) scrambled with system information RNTI (SI-RNTI). Alternatively, scheduling information for a SIB transmission can be provided in an earlier SIB and scheduling information for the first SIB (SIB-1) can be provided by the MIB. 
     DL resource allocation is performed in a unit of subframe and a group of physical resource blocks (PRBs). A transmission BW includes frequency resource units referred to as resource blocks (RBs). Each RB includes N sc   RB  sub-carriers, or resource elements (REs), such as 12 REs. A unit of one RB over one subframe is referred to as a PRB. A UE can be allocated M PDSCH  RBs for a total of M sc   PDSCH =M PDSCH ·N sc    RB  REs for the PDSCH transmission BW. 
     UL signals can include data signals conveying data information, control signals conveying UL control information (UCI), and UL RS. UL RS includes DMRS and Sounding RS (SRS). A UE transmits DMRS only in a BW of a respective PUSCH or PUCCH. An eNodeB can use a DMRS to demodulate data signals or UCI signals. A UE transmits SRS to provide an eNodeB with an UL CSI. A UE transmits data information or UCI through a respective physical UL shared channel (PUSCH) or a Physical UL control channel (PUCCH). If a UE needs to transmit data information and UCI in a same UL subframe, the UE may multiplex both in a PUSCH. UCI includes Hybrid Automatic Repeat request acknowledgement (HARQ-ACK) information, indicating correct (ACK) or incorrect (NACK) detection for a data TB in a PDSCH or absence of a PDCCH detection (DTX), scheduling request (SR) indicating whether a UE has data in the UE&#39;s buffer, rank indicator (RI), and channel state information (CSI) enabling an eNodeB to perform link adaptation for PDSCH transmissions to a UE. HARQ-ACK information is also transmitted by a UE in response to a detection of a PDCCH/EPDCCH indicating a release of semi-persistently scheduled PDSCH. 
     An UL subframe includes two slots. Each slot includes N symb   UL  symbols for transmitting data information, UCI, DMRS, or SRS. A frequency resource unit of an UL system BW is a RB. A UE is allocated N RB  RBs for a total of N RB ·N sc   RB  REs for a transmission BW. For a PUCCH, N RB =1. A last subframe symbol can be used to multiplex SRS transmissions from one or more UEs. A number of subframe symbols that are available for data/UCI/DMRS transmission is N symb =2·(N symb   UL −1)−N SRS , where N SRS =1 if a last subframe symbol is used to transmit SRS and N SRS =0 otherwise. 
       FIG.  5    illustrates a transmitter block diagram  500  for a PDSCH in a subframe according to embodiments of the present disclosure. The embodiment of the transmitter block diagram  500  illustrated in  FIG.  5    is for illustration only.  FIG.  5    does not limit the scope of this disclosure to any particular implementation of the transmitter block diagram  500 . 
     As shown in  FIG.  5   , information bits  510  are encoded by encoder  520 , such as a turbo encoder, and modulated by modulator  530 , for example using quadrature phase shift keying (QPSK) modulation. A serial to parallel (S/P) converter  540  generates M modulation symbols that are subsequently provided to a mapper  550  to be mapped to REs selected by a transmission BW selection unit  555  for an assigned PDSCH transmission BW, unit  560  applies an Inverse fast Fourier transform (IFFT), the output is then serialized by a parallel to serial (P/S) converter  570  to create a time domain signal, filtering is applied by filter  580 , and a signal transmitted  590 . Additional functionalities, such as data scrambling, cyclic prefix insertion, time windowing, interleaving, and others are well known in the art and are not shown for brevity. 
       FIG.  6    illustrates a receiver block diagram  600  for a PDSCH in a subframe according to embodiments of the present disclosure. The embodiment of the diagram  600  illustrated in  FIG.  6    is for illustration only.  FIG.  6    does not limit the scope of this disclosure to any particular implementation of the diagram  600 . 
     As shown in  FIG.  6   , a received signal  610  is filtered by filter  620 , REs  630  for an assigned reception BW are selected by BW selector  635 , unit  640  applies a fast Fourier transform (FFT), and an output is serialized by a parallel-to-serial converter  650 . Subsequently, a demodulator  660  coherently demodulates data symbols by applying a channel estimate obtained from a DMRS or a CRS (not shown), and a decoder  670 , such as a turbo decoder, decodes the demodulated data to provide an estimate of the information data bits  680 . Additional functionalities such as time-windowing, cyclic prefix removal, de-scrambling, channel estimation, and de-interleaving are not shown for brevity. 
       FIG.  7    illustrates a transmitter block diagram  700  for a PUSCH in a subframe according to embodiments of the present disclosure. The embodiment of the block diagram  700  illustrated in  FIG.  7    is for illustration only.  FIG.  7    does not limit the scope of this disclosure to any particular implementation of the block diagram  700 . 
     As shown in  FIG.  7   , information data bits  710  are encoded by encoder  720 , such as a turbo encoder, and modulated by modulator  730 . A discrete Fourier transform (DFT) unit  740  applies a DFT on the modulated data bits, REs  750  corresponding to an assigned PUSCH transmission BW are selected by transmission BW selection unit  755 , unit  760  applies an IFFT and, after a cyclic prefix insertion (not shown), filtering is applied by filter  770  and a signal transmitted  780 . 
       FIG.  8    illustrates a receiver block diagram  800  for a PUSCH in a subframe according to embodiments of the present disclosure. The embodiment of the block diagram  800  illustrated in  FIG.  8    is for illustration only.  FIG.  8    does not limit the scope of this disclosure to any particular implementation of the block diagram  800 . 
     As shown in  FIG.  8   , a received signal  810  is filtered by filter  820 . Subsequently, after a cyclic prefix is removed (not shown), unit  830  applies a FFT, REs  840  corresponding to an assigned PUSCH reception BW are selected by a reception BW selector  845 , unit  850  applies an inverse DFT (IDFT), a demodulator  860  coherently demodulates data symbols by applying a channel estimate obtained from a DMRS (not shown), a decoder  870 , such as a turbo decoder, decodes the demodulated data to provide an estimate of the information data bits  880 . 
     In next generation cellular systems, various use cases are envisioned beyond the capabilities of LTE system. Termed 5G or the fifth generation cellular system, a system capable of operating at sub-6 GHz and above-6 GHz (for example, in mmWave regime) becomes one of the requirements. In 3GPP TR 22.891, 74 5G use cases has been identified and described; those use cases can be roughly categorized into three different groups. A first group is termed ‘enhanced mobile broadband’ (eMBB), targeted to high data rate services with less stringent latency and reliability requirements. A second group is termed “ultra-reliable and low latency (URLL)” targeted for applications with less stringent data rate requirements, but less tolerant to latency. A third group is termed “massive MTC (mMTC)” targeted for large number of low-power device connections such as 1 million per km 2  with less stringent the reliability, data rate, and latency requirements. 
     In order for the 5G network to support such diverse services with different quality of services (QoS), one method has been identified in LTE specification, called network slicing. To utilize PHY resources efficiently and multiplex various slices (with different resource allocation schemes, numerologies, and scheduling strategies) in DL-SCH, a flexible and self-contained frame or subframe design is utilized. 
       FIG.  9    illustrates an example multiplexing of two slices  900  according to embodiments of the present disclosure. The embodiment of the multiplexing of two slices  900  illustrated in  FIG.  9    is for illustration only.  FIG.  9    does not limit the scope of this disclosure to any particular implementation of the multiplexing of two slices  900 . 
     Two exemplary instances of multiplexing two slices within a common subframe or frame are depicted in  FIG.  9   . In these exemplary embodiments, a slice can be composed of one or two transmission instances where one transmission instance includes a control (CTRL) component (e.g.,  920   a ,  960   a ,  960   b ,  920   b , or  960   c ) and a data component (e.g.,  930   a ,  970   a ,  970   b ,  930   b , or  970   c ). In embodiment 910, the two slices are multiplexed in frequency domain whereas in embodiment 950, the two slices are multiplexed in time domain. These two slices can be transmitted with different sets of numerology. 
     LTE specification supports up to 32 CSI-RS antenna ports which enable an eNB to be equipped with a large number of antenna elements (such as 64 or 128). In this case, a plurality of antenna elements is mapped onto one CSI-RS port. For next generation cellular systems such as 5G, the maximum number of CSI-RS ports can either remain the same or increase. 
       FIG.  10    illustrates an example antenna blocks  1000  according to embodiments of the present disclosure. The embodiment of the antenna blocks  1000  illustrated in  FIG.  10    is for illustration only.  FIG.  10    does not limit the scope of this disclosure to any particular implementation of the antenna blocks  1000 . 
     For mmWave bands, although the number of antenna elements can be larger for a given form factor, the number of CSI-RS ports—which can correspond to the number of digitally precoded ports—tends to be limited due to hardware constraints (such as the feasibility to install a large number of ADCs/DACs at mmWave frequencies) as illustrated in  FIG.  10   . In this case, one CSI-RS port is mapped onto a large number of antenna elements which can be controlled by a bank of analog phase shifters. One CSI-RS port can then correspond to one sub-array which produces a narrow analog beam through analog beamforming. This analog beam can be configured to sweep across a wider range of angles by varying the phase shifter bank across symbols or subframes. The number of sub-arrays (equal to the number of RF chains) is the same as the number of CSI-RS ports N CSI-PORT . A digital beamforming unit performs a linear combination across N CSI-PORT  analog beams to further increase precoding gain. While analog beams are wideband (hence not frequency-selective), digital precoding can be varied across frequency sub-bands or resource blocks. 
       FIG.  11    illustrates an example network configuration  1100  according to embodiments of the present disclosure. The embodiment of the network configuration  1100  illustrated in  FIG.  11    is for illustration only.  FIG.  11    does not limit the scope of this disclosure to any particular implementation of the configuration  1100 . 
     In order for the 5G network to support such diverse services with different quality of services (QoS), one scheme has been identified in LTE specification, called network slicing. 
     As shown in  FIG.  11   , An operator&#39;s network  1110  includes a number of radio access network(s)  1120  (RAN(s)) that are associated with network devices such as eNBs  1130   a  and  1130   b , small cell base stations (femto/pico eNB s or Wi-Fi access points)  1135   a  and  1135   b . The network  1110  can support various services, each represented as a slice. 
     In the example, an URLL slice  1140   a  serves UEs requiring URLL services such as cars  1145   b , trucks  1145   c , smart watches  1145   a , and smart glasses  1145   d . Two mMTC slices  1150   a  and  550   b  serve UEs requiring mMTC services such as power meters  555   b , and temperature control box  1155   b . One eMBB slice  1160   a  serves UEs requiring eMBB services such as cells phones  1165   a , laptops  1165   b , and tablets  1165   c . A device configured with two slices can also be envisioned. 
     From LTE specification, MIMO has been identified as an essential feature in order to achieve high system throughput requirements and MIMO may continue to be the same in NR. One of the key components of a MIMO transmission scheme is the accurate CSI acquisition at the eNB (or TRP). For MU-MIMO, in particular, the availability of accurate CSI is necessary in order to guarantee high MU performance. For TDD systems, the CSI can be acquired using the SRS transmission relying on the channel reciprocity. 
     For FDD systems, on the other hand, it can be acquired using the CSI-RS transmission from eNB, and CSI acquisition and feedback from UE. In FDD systems, the CSI feedback framework is “implicit” in the form of CQI/PMI/RI derived from a codebook assuming SU transmission from eNB. Because of the inherent SU assumption while deriving CSI, this implicit CSI feedback is inadequate for MU transmission. Since future (e.g. NR) systems are likely to be more MU-centric, this SU-MU CSI mismatch may be a bottleneck in achieving high MU performance gains. Another issue with implicit feedback is the scalability with larger number of antenna ports at eNB. 
     For large number of antenna ports, the codebook design for implicit feedback is quite complicated (for example, in LTE specification, the total number of Class A codebooks=44), and the designed codebook is not guaranteed to bring justifiable performance benefits in practical deployment scenarios (for example, only a small percentage gain can be shown at the most). Realizing aforementioned issues, it has agreed to provide specification support to advanced CSI reporting in LTE specification, which, at the very least, can serve as a good starting point to design advanced CSI scheme in NR MIMO. Compared to LTE specification, the CSI acquisition for NR MIMO may consider the following additional differentiating factors. 
     In one example of flexibility CSI reporting framework, CSI reporting in NR may be flexible to support users with different CSI reporting capabilities. For example, some users may only be capable of reporting implicit CSI in the form of PMI/CQI/RI as in LTE and some other users may be capable of reporting both implicit as well as explicit channel reporting. In addition, UE motilities in NR can range from 0 kmph to 500 kmph. So, CSI reporting framework may be able to support such diverse use cases and UE capabilities. 
     In one example of increased number of antenna ports, in NR MIMO, the number of antenna elements at the eNB can be up to 256, which means that the total number of antenna ports can be more than 32, which is the maximum number of antenna ports supported in LTE eFD-MIMO. Although this can be accommodated with partial-port CSI-RS mapping where each subset consists of at most 32 ports, the total number of ports across time can be extended to a much larger number. As the number of ports increases, meaningful system gain can only be obtained in a MU-centric system. 
     In one example of increased throughput requirement, the system throughput requirements (e.g. for eMBB in NR) is several times more than that for LTE eFD-MIMO. Such high throughput requirements can only met with a mechanism to provide very accurate CSI to the eNB. 
     In one example of beamforming, following the trend established in FD-MIMO, NR MIMO system may be beam-formed either cell-specifically or UE-specifically, where the beams can either be of analog (RF) or digital or hybrid type. For such a beam-formed system, a mechanism is needed to obtain accurate beam-forming information at the eNB. 
     In one example of unified design, since NR includes both above and below 6 GHz frequency bands, a unified MIMO framework working for both frequency regimes may be preferable. 
     In the following, for brevity, both FDD and TDD are considered as the duplex method for both DL and UL signaling. Although exemplary descriptions and embodiments to follow assume orthogonal frequency division multiplexing (OFDM) or orthogonal frequency division multiple access (OFDMA), the present disclosure can be extended to other OFDM-based transmission waveforms or multiple access schemes such as filtered OFDM (F-OFDM). 
     Depending on the network type, the term “base station” or “BS” can refer to any component (or collection of components) configured to provide wireless access to a network, such as transmit point (TP), transmit-receive point (TRP), an enhanced base station (eNodeB or eNB), gNB, a macrocell, a femtocell, a WiFi access point (AP), or other wirelessly enabled devices. Base stations may provide wireless access in accordance with one or more wireless communication protocols, e.g., 5G 3GPP new radio interface/access (NR), long term evolution (LTE), LTE advanced (LTE-A), high speed packet access (HSPA), Wi-Fi 802.11a/b/g/n/ac, etc. For the sake of convenience, the terms “BS” and “TRP” are used interchangeably in this patent document to refer to network infrastructure components that provide wireless access to remote terminals. 
     Also, depending on the network type, the term “user equipment” or “UE” can refer to any component such as “mobile station,” “subscriber station,” “remote terminal,” “wireless terminal,” “receive point,” 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 a BS, 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). 
       FIG.  12    illustrates an example multiple antenna panels  1200  according to embodiments of the present disclosure. The embodiment of the multiple antenna panels  1200  illustrated in  FIG.  12    is for illustration only.  FIG.  12    does not limit the scope of this disclosure to any particular implementation. 
     In the following, it is assumed that N 1  and N 2  are the number of antenna ports with the same polarization in the first and second dimensions, respectively. For 2D antenna port layouts, it may be N 1 &gt;1, N 2&gt;1 , and for 1D antenna port layouts N 1 &gt;1 and N 2=1 . So, for a dual-polarized antenna port layout, the total number of antenna ports is 2N 1 N 2 . 
     The focus of the present disclosure is on the CSI acquisition for the antenna structure to which multiple antenna panels are applied where each panel is a dual-polarized antenna ports with N 1  and N 2  ports in two dimensions. An illustration is shown in  FIG.  12    in which there are M=1, 2, 4 antenna panels. Furthermore, the antenna pot layout, i.e., (N 1 , N 2 ) value, for each antenna panel is identical. 
     In one embodiment, a dual-stage codebook: W=W 1 W 2  has been proposed for the multiple antenna panels in which the first stage W 1  codebook is used to report a beam group comprising L beams, and the second stage W 2  codebook is used to report a single beam selection (per layer) from the reported beam group which is common for two polarizations, and a co-phase value selection for the two polarizations, where L beam selection is WB, the single beam selection and co-phase selection is SB. 
     In one embodiment 1, a UE is configured with W 1  codebook for multiple antenna panels as shown in  FIG.  12    with M≥1 panels, which has a block diagonal structure with 2M blocks, where the first 2 consecutive blocks are associated with the two polarizations of the 1 st  antenna panel, the next 2 consecutive blocks are associated with the two polarizations of the 2 nd  antenna panel, and so on. The W 1  codebook structure is according to at least one of the following two alternatives. 
     In one example of Alt 1-0 (common W 1 ), 
     
       
         
           
             
               W 
               1 
             
             = 
             
               [ 
               
                 
                   
                     
                       B 
                       0 
                     
                   
                   
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     for M=1 panel, 
     
       
         
           
             
               W 
               1 
             
             = 
             
               [ 
               
                 
                   
                     
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                       0 
                     
                   
                   
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     for M=2 panels and 
     
       
         
           
             
               W 
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             = 
             
               [ 
               
                 
                   
                     
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                       0 
                     
                   
                   
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     for M=4 panels, where B 0 =[b 0 , b 1 , . . . , b L-1 ] is a common beam group for all panels comprising L beams. 
     In one example of Alt 1-1 (per panel W 1 ), 
     
       
         
           
             
               W 
               1 
             
             = 
             
               [ 
               
                 
                   
                     
                       B 
                       0 
                     
                   
                   
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     for M=1 panel, 
     
       
         
           
             
               W 
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     for M=2 panels and 
     
       
         
           
             
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               ] 
             
           
         
       
     
     for M=4 panels B 0 =[b 0,0 , b 0,1 , . . . , b 0,L-1 ], B 1 =[b 1,0 , b 1,1 , . . . , b 1,L-1 ], B 2 =[b 2,0 , b 2,1 , . . . , b 2,L-1 ], and B 3 =[b 3,0 , b 3,1 , . . . , b 3,L-1 ] are beam groups for panels 0, 1, 2, and 3, respectively, each comprising L beams. 
     In one example, only one of the two W 1  codebook structures (Alt 1-0, Alt 1-1) is supported in the specification, for example, Alt 1-0. In another example, one of the two structures is configured to the UE via 1-bit higher layer (RRC) or MAC CE based or DCI based signaling. In yet another example, the UE reports a preferred a W 1  codebook structure as a 1-bit WB CSI report either jointly with other WB CSI reports or separately as a separate WB report. In yet another example, only of the two structures is supported for each antenna port layouts and/or M values. 
     In one embodiment 1A, a UE is configured with W 1  codebook (cf. Alt 1-0 or Alt 1-1), where the number of beams (L value) in the beam group for each panel is the same and is according to at least one of the two alternatives: Alt 1A-0: L=1; and Alt 1A-1: L=2. 
     In one example, only one of the two alternatives (Alt 1A-0, Alt 1A-1) is supported in the specification, for example, Alt 1A-0. In another example, one of the two alternatives is configured to the UE via 1-bit higher layer (RRC) or MAC CE based or DCI based signaling. In yet another example, the UE reports a preferred L value as a 1-bit WB CSI report either jointly with other WB CSI reports or separately as a separate WB report. In yet another example, only of the two alternatives is supported for each antenna port layouts and/or M values. 
     For L=2, at least one of the following is supported for the beam group structure or patterns comprising two beams. In one example, only one beam pattern is supported regardless of the antenna pot layout or (N 1 , N 2 ) values. In one example, only one beam pattern is supported for 2D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 &gt;1, and only one beam pattern is supported for 1D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 =1. In one example, two beam patterns are supported regardless of the antenna pot layout or (N 1 , N 2 ) values. In one example, two beam patterns are supported for 2D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 &gt;1, and one beam pattern is supported for 1D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 =1. In one example, two beam patterns are supported for 2D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 &gt;1, and two beam patterns are supported for 1D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 =1. 
     In one embodiment 1B, a UE is configured with W 1  codebook (cf. Alt 1-0 or Alt 1-1), where the number of beams (L value) in the beam group for each panel is the same and is according to at least one of the two alternatives: Alt 1B-0: L=1; and Alt 1B-1: L=4. 
     In one example, only one of the two alternatives (Alt 1B-0, Alt 1B-1) is supported in the specification, for example, Alt 1B-0. In another example, one of the two alternatives is configured to the UE via 1-bit higher layer (RRC) or MAC CE based or DCI based signaling. In yet another example, the UE reports a preferred L value as a 1-bit WB CSI report either jointly with other WB CSI reports or separately as a separate WB report. In yet another example, only of the two alternatives is supported for each antenna port layouts and/or M values. 
     For L=4, at least one of the following is supported for the beam group structure or patterns comprising four beams. In one example, only one beam pattern is supported regardless of the antenna pot layout or (N 1 , N 2 ) values. In one example, only one beam pattern is supported for 2D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 &gt;1, and only one beam pattern is supported for 1D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 =1. In one example, two beam patterns are supported regardless of the antenna pot layout or (N 1 , N 2 ) values. In one example, two beam patterns are supported for 2D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 &gt;1, and one beam pattern is supported for 1D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 =1. In one example, two beam patterns are supported for 2D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 &gt;1, and two beam patterns are supported for 1D antenna port layouts, i.e., (N 1 , N 2 ) with N 1 &gt;1 and N 2 =1. 
     In one embodiment 1C, the W 1  beam groups (B 0 , B 1 , . . . ) comprises of oversampled 2D DFT beams. For a given antenna port layout (N 1 , N 2 ) and oversampling factors (O1, O2) for two dimensions, the DFT beam v l,m  can be expressed as follows: 
     
       
         
           
             
               v 
               
                 l 
                 , 
                 m 
               
             
             = 
             
               
                 [ 
                 
                   
                     
                       
                         u 
                         m 
                       
                     
                     
                       
                         
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                             ⁢ 
                             
                               
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                 ] 
               
               T 
             
           
         
       
       
         
           where 
         
       
       
         
           
             
               u 
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               . 
             
           
         
       
     
     In one embodiment 2, a UE is configured with W 2  codebook for M≥1 antenna panels according to at least one of the following alternatives. In one example of Alt 2-0 (common intra-panel W 2 ), W 2 =c⊗d or d⊗c where c is an intra-panel W 2  vector (size 2L×1), common for all panels, and d is an inter-panel phase vector (size M×1), where c⊗d denotes the Kronecker product of c and d which is defined as c⊗d=[c 0 d c 1 d . . . c 2L−1 d] T  where d=[d 0  d 1  . . . d M−1 ]. 
     If W 2 =c⊗d, then for M=2: W 2 =[c 0 d 0  c 0 d 1  c 1 d 0  c 1 d 1 ] T . If one of c 0  and d 0  is fixed to 1, one of the two alternate forms for W 2  is considered: W 2 =[d 0  d 1  c 1 d 0  c 1 d 1 ] T ; and W 2 =[c 0  c 0 d 1  c 1  c 1 d 1 ] T . If both c 0  and d 0  are fixed to 1, then W 2 =[1 d 1  c 1  c 1 d 1 ] T . 
     If W 2 =c⊗d, then for M=4: W 2 =[c 0 d 0  c 0 d 1  c 0 d 2  c 0 d 3  c 1 d 0  c 1 d 1  c 1 d 2  c 1 d 3 ] T ; since one of c 0  and d 0  can be fixed to 1, one of the two alternate forms for W 2  is considered: W 2 =[d 0  d 1  d 2  d 3  c 1 d 0  c 1 d 1  c 1 d 2  c 1 d 3 ] T , and W 2 =[c 0  c 0 d 1  c 0 d 2  c 0 d 3  c 1  c 1 d 1  c 1 d 2  c 1 d 3 ] T . If both c 0  and d 0  are fixed to 1, then W 2 =[1 d 1  d 2  d 3  c 1  c 1 d 1  c 1 d 2  c 1 d 3 ] T . 
     If W 2 =d⊗c, then for M=2: W 2 =[c 0 d 0  c 1 d 0  c 0 d 1  c 1 d 1 ] T ; since one of c 0  and d 0  can be fixed to 1, one of the two alternate forms for W 2  is considered: W 2 =[d 0  c 1 d 0  d 1  c 1 d 1 ] T ; and W 2 =[c 0  c 1  c 0  d 1  c 1 d 1 ] T . For M=4: W 2 =[c 0 d 0  c 1 d 0  c 0 d 1  c 1  d 1  c 0 d 2  c 1 d 2  c 0  d 3  c 1 d 3 ] T ; since one of c 0  and d 0  can be fixed to 1, one of the two alternate forms for W 2  is considered: W 2 =[d 0  c 1  d 0  d 1  c 1 d 1 d 2  c 1 d 2  d 3  c 1 d 3 ] T ; and W 2 =[c 0  c 1  c 0  d 1  c 1  d 1  c 0  d 2  c 1 d 2  c 0  d 3  c 1 d 3 ] T . 
     In one example of Alt 2-1 (per panel W 2 ), W 2 =[1 c 1  c 2  c 3  c 2LM−1 ] T , where {c 1 } are independent phase for M panels and 2 polarizations. For M=2: W 2 =[1 c 1  c 2  c 3 ] T . For M=4: W 2 =[1 c 1  c 2  c 3 C 4  C 5  c 6  c 7 ] T.    
     The codebook to report the W 2  phase is at least one of BPSK {1, −1} or QPSK {1, j, −1, −j} or two stage a WB b WB  where a WB  and a SB  codebooks are according to at least one of the following: a WB ={1,j, −1, −j}(2 bit WB phase) and a SB ={1,j}(1-bit SB phase); a WB ={1,j, −1, −j}(2 bit WB phase) and a SB ={1, −j}(1-bit SB phase); a WB ={1,j, −1, −j}(2 bit WB phase) and 
     
       
         
           
             
               a 
               
                 S 
                 ⁢ 
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             = 
             
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                     - 
                     
                       
                         j 
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                         π 
                       
                       4 
                     
                   
                 
                 , 
                   
                 
                   e 
                   
                     
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                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (1-bit SB phase); 
     
       
         
           
             
               a 
               WB 
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
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                   e 
                   
                     
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                       ⁢ 
                       3 
                       ⁢ 
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                     4 
                   
                 
                 , 
                 
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                       ⁢ 
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                       ⁢ 
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                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and 
     
       
         
           
             
               a 
               
                 S 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
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     (1-bit SB phase); 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
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                       ⁢ 
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                       ⁢ 
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                       ⁢ 
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                       ⁢ 
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                       ⁢ 
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     (2 bit WB phase) and a SB ={1, −j}(1-bit SB phase); and 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
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                       ⁢ 
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                       ⁢ 
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                       ⁢ 
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     (2 bit WB phase) and a SB ={1,j}(1-bit SB phase). 
     The codebook alternatives for inter-panel phase reporting is according to at least one of the following. In one example of Alt 2-0A, a separate codebook (e.g. W 3 ) is used to report the inter-panel phase regardless of whether the inter-panel phase is reported in a WB or SB manner. This alternative is applicable to the case in which the inter-panel phase can be decoupled from the intra-panel phase. An example of which is Alt 2-0. 
     In one example of Alt 2-1A, if the inter-panel phase is reported in a WB manner, then the inter-panel phase is reported jointly with the first PMI (i 1 ) indicating beam group using the W 1  codebook. 
     In one example of Alt 2-2A, if the inter-panel phase is reported in a SB manner, then the inter-panel phase is reported jointly with the second PMI (i 2 ) indicating co-phasing for two polarizations (and beam selection of L&gt;1) using the W 2  codebook. 
     In one example of Alt 2-3A, if the inter-panel phase is reported differentially with both WB and SB components, then the WB component of the inter-panel phase is reported jointly with the first PMI (i 1 ) indicating beam group using the W 1  codebook, and the SB component of the inter-panel phase is reported jointly with the second PMI (i 2 ) indicating co-phasing for two polarizations (and beam selection of L&gt;1) using the W 2  codebook. 
     One of these alternatives is either fixed in the specification or configured via higher layer RRC or dynamic DCI signaling. 
     In one embodiment 2A, the amplitude is also reported in addition to inter-panel phase according to at least one of the following alternatives. In one example of Alt 2A-0, the amplitude is reported independently for each panel and common for the two polarizations in each panel. For M panels, M−1 amplitude needs to be reported since the amplitude for the first panel can be assumed to be 1 without loss of generality. In one example of Alt 2A-1, the amplitude is reported independently for each panel and for each polarization. For M panels, 2M−1 amplitude needs to be reported since the amplitude for the first polarization of the first panel can be assumed to be 1 without loss of generality. 
     The amplitude reporting can either be in a WB manner or in a SB manner or in a differential manner with both WB and SB components. One of these three reporting can either be fixed (e.g. WB reporting) or configurable via higher layer RRC or dynamic DCI signaling. For example, the amplitude reporting can be turned ON or OFF using RRC or dynamic DCI signaling whereas the phase reporting is always ON. 
     For N-bit amplitude reporting, the amplitude quantization codebook (WB and/or SB) is according to at least one of the following alternatives. In one example, if N=1, then the amplitude codebook is one of the following: C 0 ={ 1 , √{square root over (0.5)}}; C 1 ={ 1 , 0 }; and C 2 ={√{square root over (1.4125)}, √{square root over (0.7079)}}. In one example, if N=2, then the amplitude codebook is one of the following: C 0 ={1, √{square root over (0.5)}, √{square root over (0.25)}, √{square root over (0.125)}}; and C 1 ={1, √{square root over (0.5)}, √{square root over (0.25)}, 0}. In one example, if N=3, then the amplitude codebook is one of the following: C 0 ={1, √{square root over (0.5)}, √{square root over (0.25)}, √{square root over (0.125)}, √{square root over (0.0625)}, √{square root over (0.0313)}, √{square root over (0.0156)}, √{square root over (0.0078)}}; C 1 ={1, √{square root over (0.5)}, √{square root over (0.25)}, √{square root over (0.125)}, √{square root over (0.0625)}, √{square root over (0.0313)}, √{square root over (0.0156)}, 0}; and C 2 ={1, √{square root over (0.6683)}, √{square root over (0.4467)}, √{square root over (0.2985)}, √{square root over (0.1995)}, √{square root over (0.1334)}, √{square root over (0.0891)}, 0}. 
     In one embodiment 3, the multi-panel codebook using a modular approach where the multi-panel pre-coder vector/matrix W MP  is built from the single-panel pre-coder vector/matrix W SP  as follows. In one example of M=2, for rank 1: 
     
       
         
           
             
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                 ⁢ 
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             = 
             
               
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     and for rank 2: 
     
       
         
           
             
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                   . 
                 
               
             
           
         
       
     
     In one example of M=4, for rank 1: 
     
       
         
           
             
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                 M 
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             = 
             
               
                 [ 
                 
                   
                     
                       
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                           ⁢ 
                           
                             v 
                             1 
                           
                         
                       
                     
                   
                   ] 
                 
               
             
           
         
       
     
     and for rank 2: 
     
       
         
           
             
               
                 W 
                 MP 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         
                           W 
                           
                             S 
                             ⁢ 
                             P 
                           
                         
                       
                     
                     
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
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                           ⁢ 
                           
                             W 
                             
                               S 
                               ⁢ 
                               P 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 = 
                 
                   
                     [ 
                     
                       
                         
                           
                             
                               W 
                               1 
                             
                             ⁢ 
                             
                               W 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               W 
                               1 
                             
                             ⁢ 
                             
                               W 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               W 
                               1 
                             
                             ⁢ 
                             
                               W 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   3 
                                 
                               
                             
                             ⁢ 
                             
                               W 
                               1 
                             
                             ⁢ 
                             
                               W 
                               2 
                             
                           
                         
                       
                     
                     ] 
                   
                   = 
                   
                     [ 
                     
                       
                         
                           
                             v 
                             1 
                           
                         
                         
                           
                             v 
                             1 
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 β 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 e 
                                 
                                   j 
                                   ⁢ 
                                   β 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     α 
                                     1 
                                   
                                   + 
                                   β 
                                 
                                 ) 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 e 
                                 
                                   j 
                                   ⁡ 
                                   ( 
                                   
                                     
                                       α 
                                       1 
                                     
                                     + 
                                     β 
                                   
                                   ) 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     α 
                                     2 
                                   
                                   + 
                                   β 
                                 
                                 ) 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 e 
                                 
                                   j 
                                   ⁡ 
                                   ( 
                                   
                                     
                                       α 
                                       2 
                                     
                                     + 
                                     β 
                                   
                                   ) 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   3 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   3 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     α 
                                     3 
                                   
                                   + 
                                   β 
                                 
                                 ) 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 e 
                                 
                                   j 
                                   ⁡ 
                                   ( 
                                   
                                     
                                       α 
                                       3 
                                     
                                     + 
                                     β 
                                   
                                   ) 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               1 
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             , 
           
         
       
     
     where: v 1  is an oversampled 2D DFT beam; the selection of W SP  is limited to be the same for all panels; and the inter-panel phase e jα     i   , (i=1 or 1-3) can be reported either WB or SB or both WB and SB; and the co-phase e jβ  is reported SB. 
     In one embodiment 4, the UE is configured with a PMI codebook (via higher layer RRC signaling) for CSI reporting for P=2N 1 N 2 ≥CSI-RS antenna ports in M=2 panels as follows: the PMI codebook assumes W=W 1 W 2  pre-coder structure for rank 1 to 8 (1 layer to 8 layers), where for each layer 
     
       
         
           
             
               
                 W 
                 1 
               
               = 
               
                 [ 
                 
                   
                     
                       
                         b 
                         1 
                       
                     
                     
                       0 
                     
                     
                       0 
                     
                     
                       0 
                     
                   
                   
                     
                       0 
                     
                     
                       
                         b 
                         1 
                       
                     
                     
                       0 
                     
                     
                       0 
                     
                   
                   
                     
                       0 
                     
                     
                       0 
                     
                     
                       
                         b 
                         1 
                       
                     
                     
                       0 
                     
                   
                   
                     
                       0 
                     
                     
                       0 
                     
                     
                       0 
                     
                     
                       
                         b 
                         1 
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     b 1  is an oversampled 2D DFT beam; and W 2  performs QPSK co-phasing between panels and polarizations. 
     The supported combinations of (M, N 1 , N 2 , O 1 , O 2 ) are tabulated in TABLE 1. The UE is configured with higher-layer parameters (e.g., RRC) multipanel-Config-M, codebook-Config-N1, and codebook-Config-N2, to configure the codebook parameters M, N 1  and N 2 , respectively. Note that there is no need to signal (configure) (O 1 , O 2 ) since only one (O 1 , O 2 ) is supported for each (N 1 , N 2 ). Other alternate tables are shown in TABLES 2-5. Note that in TABLE 5, (M, N 1 , N 2 )=(2, 1, 1) and (4, 1, 1) are also considered. Since for these two port configurations N 1 =N 2 =1, the W1 codebook structure reduces to an M×M identity matrix, there is no W 1  feedback needed, i.e., the WB reporting of b 1  is needed (b 1 =1). Only one of these (M, N 1 , N 2 , O 1 , O 2 ) combination tables (or their any combinations) is supported in the specification. 
     
       
         
           
               
             
               
                 TABLE 1 
               
             
            
               
                   
               
               
                 Supported configurations of (O 1 , O 2 ) and (N 1 , N 2 ) 
               
            
           
           
               
               
               
            
               
                 Number of 
                   
                   
               
               
                 CSI-RS ports 
                 (M, N 1 , N 2 ) 
                 (O 1 , O 2 ) 
               
               
                   
               
            
           
           
               
               
               
            
               
                 8 
                 (2, 2, 1) 
                 (4, —) 
               
               
                 12 
                 (2, 3, 1) 
                 (4, —) 
               
               
                 16 
                 (2, 2, 2) 
                 (4, 4) 
               
               
                   
                 (2, 4, 1) 
                 (4, —) 
               
               
                 24 
                 (2, 3, 2), (2, 2, 3) 
                 (4, 4) 
               
               
                   
                 (2, 6, 1) 
                 (4, —) 
               
               
                 32 
                 (2, 4, 2), (2, 2, 4) 
                 (4, 4) 
               
               
                   
                 (2, 8, 1) 
                 (4, —) 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 2 
               
             
            
               
                   
               
               
                 Supported configurations of (O 1 , O 2 ) and (N 1 , N 2 ) 
               
            
           
           
               
               
               
            
               
                 Number of 
                   
                   
               
               
                 CSI-RS ports 
                 (M, N 1 , N 2 ) 
                 (O 1 , O 2 ) 
               
               
                   
               
            
           
           
               
               
               
            
               
                 8 
                 (2, 2, 1) 
                 (4, —) 
               
               
                 12 
                 (2, 3, 1) 
                 (4, —) 
               
               
                 16 
                 (2, 2, 2) 
                 (4, 4) 
               
               
                   
                 (2, 4, 1) 
                 (4, —) 
               
               
                 24 
                 (2, 3, 2) 
                 (4, 4) 
               
               
                   
                 (2, 6, 1) 
                 (4, —) 
               
               
                 32 
                 (2, 4, 2) 
                 (4, 4) 
               
               
                   
                 (2, 8, 1) 
                 (4, —) 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 3 
               
             
            
               
                   
               
               
                 Supported configurations of (O 1 , O 2 ) and (N 1 , N 2 ) 
               
            
           
           
               
               
               
            
               
                 Number of 
                   
                   
               
               
                 CSI-RS ports 
                 (M, N 1 , N 2 ) 
                 (O 1 , O 2 ) 
               
               
                   
               
            
           
           
               
               
               
            
               
                 8 
                 (2, 2, 1) 
                 (4, —) 
               
               
                 16 
                 (2, 2, 2) 
                 (4, 4) 
               
               
                   
                 (2, 4, 1), (4, 2, 1) 
                 (4, —) 
               
               
                 24 
                 (2, 3, 2) 
                 (4, 4) 
               
               
                   
                 (2, 6, 1) 
                 (4, —) 
               
               
                 32 
                 (2, 4, 2), (4, 2, 2) 
                 (4, 4) 
               
               
                   
                 (2, 8, 1), (4, 4, 1) 
                 (4, —) 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 4 
               
             
            
               
                   
               
               
                 Supported configurations of (O 1 , O 2 ) and (N 1 , N 2 ) 
               
            
           
           
               
               
               
            
               
                 Number of 
                   
                   
               
               
                 CSI-RS ports 
                 (M, N 1 , N 2 ) 
                 (O 1 , O 2 ) 
               
               
                   
               
            
           
           
               
               
               
            
               
                 8 
                 (2, 2, 1) 
                 (4, —) 
               
               
                 16 
                 (2, 2, 2) 
                 (4, 4) 
               
               
                   
                 (2, 4, 1), (4, 2, 1) 
                 (4, —) 
               
               
                 32 
                 (2, 4, 2), (4, 2, 2) 
                 (4, 4) 
               
               
                   
                 (2, 8, 1), (4, 4, 1) 
                 (4, —) 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 5 
               
             
            
               
                   
               
               
                 Supported configurations of (O 1 , O 2 ) and (N 1 , N 2 ) 
               
            
           
           
               
               
               
            
               
                 Number of 
                   
                   
               
               
                 CSI-RS ports 
                 (M, N 1 , N 2 ) 
                 (O 1 , O 2 ) 
               
               
                   
               
            
           
           
               
               
               
            
               
                 4 
                 (2, 1, 1) 
                 (—, —) 
               
               
                 8 
                 (4, 1, 1) 
                 (—, —) 
               
               
                   
                 (2, 2, 1) 
                 (4, ) 
               
               
                 16 
                 (2, 2, 2) 
                 (4, 4) 
               
               
                   
                 (2, 4, 1), (4, 2, 1) 
                 (4, —) 
               
               
                 32 
                 (2, 4, 2), (4, 2, 2) 
                 (4, 4) 
               
               
                   
                 (2, 8, 1), (4, 4, 1) 
                 (4, —) 
               
               
                   
               
            
           
         
       
     
     If multiple (O 1 , O 2 ) pairs are supported for any (N 1 , N 2 ) pair, then the UE is further configured with higher-layer parameters codebook-Over-Sampling-RateConfig-O1 and codebook-Over-Sampling-RateConfig-O2, to configure O 1  and O 2 , respectively. 
     The codebook details for rank 1 and rank 2 CSI reporting are as follows. 2D DFT beam index (k 1 , k 2 ) may be defined, where k 1 =i 1,1 , k 2 =i 1,2 . The leading beam index (i 1,1 , i 1,2 ) is reported wideband, where i 1,1 =0, 1, . . . N 1 O 1 −1 and i 1,2 =0,1, . . . N 2 O 2 −1, hence it requires ┌log 2  (N 1 O 1 N 2 O 2 )┐ bits. 
     For 1 layer CSI reporting (rank 1), the pre-coding vector is given by 
     
       
         
           
             
               W 
               = 
               
                 
                   1 
                   
                     
                       M 
                       ⁢ 
                       P 
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         w 
                         
                           0 
                           , 
                           0 
                           , 
                           0 
                         
                       
                     
                   
                   
                     
                       
                         w 
                         
                           0 
                           , 
                           1 
                           , 
                           0 
                         
                       
                     
                   
                   
                     
                       
                         w 
                         
                           1 
                           , 
                           0 
                           , 
                           0 
                         
                       
                     
                   
                   
                     
                       
                         w 
                         
                           1 
                           , 
                           1 
                           , 
                           0 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     and for 2 layer CSI reporting (rank 2), the pre-coding matrix is given by 
     
       
         
           
             
               W 
               = 
               
                 
                   1 
                   
                     
                       2 
                       ⁢ 
                       M 
                       ⁢ 
                       P 
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         w 
                         
                           0 
                           , 
                           0 
                           , 
                           0 
                         
                       
                     
                     
                       
                         w 
                         
                           0 
                           , 
                           0 
                           , 
                           1 
                         
                       
                     
                   
                   
                     
                       
                         w 
                         
                           0 
                           , 
                           1 
                           , 
                           0 
                         
                       
                     
                     
                       
                         w 
                         
                           0 
                           , 
                           1 
                           , 
                           1 
                         
                       
                     
                   
                   
                     
                       
                         w 
                         
                           1 
                           , 
                           0 
                           , 
                           0 
                         
                       
                     
                     
                       
                         w 
                         
                           1 
                           , 
                           0 
                           , 
                           1 
                         
                       
                     
                   
                   
                     
                       
                         w 
                         
                           1 
                           , 
                           1 
                           , 
                           0 
                         
                       
                     
                     
                       
                         w 
                         
                           1 
                           , 
                           1 
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where: w p,r,l =b k     1     ,k     2   ·c p,r,l , p=0,1 (for two panels), r=0,1 (for two polarizations), l=0,1 (for two layers); b k     1     ,k     2    is an oversampled 2D DFT beam; and c p,r,l  is the co-phase value for panel p, polarization r and layer l. 
     For rank 1, the reporting of c 0,1,0 , c 1,0,0 , and c 1,0,0  are according to at least one of the following alternatives. In one example of Alt 4-0A, c 0,0,0 =1, c 0,1,0 ∈{1,j, −1, −j}, c 1,0,0  ∈{1, j, −1, −j} and c 1,1,0  ∈{1, j, −1, −j}, where the calculation and reporting of c 0,1,0 , c 1,0,0  and c 1,1,0  can be SB (which requires 6 bits/SB). 
     In one example of Alt 4−1A, c 0,0,0 =1, ∈{1,j, −1, −j}, c 0,1,0 ∈{1, j, −1, −j}, c 1,0,0 ∈{1,j, −1, −j} and c 1,1,0 =c 0,1,0 ×c 1,0,0 , where the calculation and reporting of c 0,1,0 , c 1,0,0  and c 1,1,0  can be SB (which requires 4 bits/SB). 
     In one example of Alt 4-2A, c 0,0,0 =1, c 0,1,0  ∈{1, j, −1, −j}, c 1,0,0 =a 1,0,0 b 1,0,0  and c 1,1,0 =a 1,1,0 b 1,1,0  where a 1,r,0   
     
       
         
           
             
               
                 ∈ 
                 
                   
                     { 
                     
                       
                         e 
                         
                           
                             j 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                       , 
                         
                       
                         e 
                         
                           
                             j 
                             ⁢ 
                             3 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                       , 
                         
                       
                         e 
                         
                           
                             j 
                             ⁢ 
                             5 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                       , 
                       
                         e 
                         
                           
                             j 
                             ⁢ 
                             7 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                     
                     } 
                   
                   ⁢ 
                       
                   and 
                   ⁢ 
                       
                   
                     b 
                     
                       1 
                       , 
                       r 
                       , 
                       0 
                     
                   
                 
               
               = 
               
                 { 
                 
                   
                     e 
                     
                       - 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   , 
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 } 
               
             
             , 
           
         
       
     
     where the calculation and reporting of c 0,1,0 , b 1,0,0  and b 1,1,0  can be SB (which requires 4 bits/SB), and the calculation and report of a 1,0,0  and a 1,1,0  are WB (which requires 4 bits). 
     In one example of Alt 4-3A, c 0,0,0 =1, c 1,0,0  ∈{1, j, −1, −j}, c 0,1,0 =a 0,1,0 b 0,1,0  and c 1,1,0 =a 1,1,0 b 1,1,0  where 
     
       
         
           
             
               
                 a 
                 
                   p 
                   , 
                   1 
                   , 
                   0 
                 
               
               ∈ 
               
                 
                   { 
                   
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           3 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           5 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           7 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   } 
                 
                 ⁢ 
                     
                 and 
                 ⁢ 
                 
                     
                      
                 
                 ⁢ 
                 
                   b 
                   
                     p 
                     , 
                     1 
                     , 
                     0 
                   
                 
               
               ∈ 
               
                 { 
                 
                   
                     e 
                     
                       - 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   , 
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 } 
               
             
             , 
           
         
       
     
     where the calculation and reporting of c 1,0,0 , b 0,1,0  and b 1,1,0  can be SB (which requires 4 bits/SB), and the calculation and report of a 0,1,0  and a 1,1,0  are WB (which requires 4 bits). 
     In one example of Alt 4-4A, c 0,0,0 =1, c 1,1,0  ∈{1, j, −1, −j}, c 1,0,0 =a 1,0,0 b 1,0,0  and c 0,1,0 =a 0,1,0 b 0,1,0  where 
     
       
         
           
             
               a 
               
                 1 
                 , 
                 0 
                 , 
                 0 
               
             
             , 
             
               
                 a 
                 
                   0 
                   , 
                   1 
                   , 
                   0 
                 
               
               ∈ 
               
                 
                   { 
                   
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           3 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           5 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           7 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   } 
                 
                 ⁢ 
                     
                 and 
                 ⁢ 
                     
                 
                   b 
                   
                     1 
                     , 
                     0 
                     , 
                     0 
                   
                 
               
             
             , 
             
               
                 b 
                 
                   0 
                   , 
                   1 
                   , 
                   0 
                 
               
               ∈ 
               
                 { 
                 
                   
                     e 
                     
                       - 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   , 
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 } 
               
             
             , 
           
         
       
     
     where the calculation and reporting of c 1,1,0 , b 1,0,0  and b 0,1,0  can be SB (which requires 4 bits/SB), and the calculation and report of a 1,0,0  and a 0,1,0  are WB (which requires 4 bits). 
     In one example of Alt 4-5A, the codebook 
     
       
         
           
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
             ⁢ 
                 
             and 
             ⁢ 
                 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     are respectively replaced with any one of the following: a WB ={1, j, −1, −j}(2 bit WB phase) and a SB ={1, j}(1-bit SB phase); a WB ={1, j, −1, −j}(2 bit WB phase) and a SB ={1, −j}(1-bit SB phase); a WB ={1, j, −1, −j}(2 bit WB phase) and 
     
       
         
           
             
               a 
               
                 S 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (1-bit SB phase); 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and 
     
       
         
           
             
               a 
               
                 S 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (1-bit SB phase); 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and a SB ={1, −j}(1-bit SB phase); and 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and a SB ={1, j}(1-bit SB phase). 
     In one example of Alt 4-6A, c 0,0,0 =1, c 0,1,0  ∈{1, j, −1, −j}, c 1,0,0  ∈{1, j, −1, −j} and c 1,1,0 =c 0,1,0 ×c 1,0,0 , where the calculation and reporting of c 1,0,0  is WB (which requires 2 bits), and that of c 0,1,0  can be WB or SB (which requires 2 bits/SB). 
     At least one of the following embodiments may be used to support at least one of the above alternatives. In one embodiment, only one of the alternatives is fixed in the specification (e.g. Alt 4-2A). In another embodiment, two of these alternatives are supported in the specification (e.g. Alt 4-6A, Alt 4-2A) and one of the two is configured to the UE (RRC). In another embodiment, one of the alternatives is either configured (via higher layer RRC signaling or dynamic DCI signaling) or UE reports a preferred alternative. In yet another embodiment, Alt 4-6A is supported for both M=2 and 4, and Alt 4-2A is supported for M=2 only. Only one of these embodiments is specified in the specification. 
     For rank 2, the reporting of c 0,1,l , c 1,0,l , and c 1,0,l  are according to at least one of the following alternatives. In one example of Alt 4-0B, c p,0,0 =c p,0,1 , c p,1,0 =−c p,1,1 , c 0,0,0 =1, c 0,1,0  ∈{1, j}, c 1,0,0  ∈{1, j, −1, −j}, c 1,1,0 ={1, j, −1, −j}, where the calculation and reporting of c 0,1,0 , c 1,0,0  and c 1,1,0  can be SB (which requires 5 bits/SB). 
     In one example of Alt 4−1B, c p,0,0 =c p,0,1 , c p,1,0 =−c p,1,1 , c 0,0,0 =1, c 0,1,0  ∈{1, j}, c 1,0,0  ∈{1, j, −1, −j}, c 1,1,0 =c 0,1,0 ·c 1,0,0 , where the calculation and reporting of c 0,1,0  and c 1,0,0  can be SB (which requires 3 bits/SB). 
     In one example of Alt 4-2B, c p,0,0 =c p,0,1 , c p,1,0 =−c p,1,1 , c 0,0,0 =1, c 0,1,0  ∈ 
     
       
         
           
             
               
                 a 
                 
                   1 
                   , 
                   r 
                   , 
                   0 
                 
               
               = 
               
                 
                   
                     { 
                     
                       
                         e 
                         
                           
                             j 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                       , 
                         
                       
                         e 
                         
                           
                             j 
                             ⁢ 
                             3 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                       , 
                         
                       
                         e 
                         
                           
                             j 
                             ⁢ 
                             5 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                       , 
                         
                       
                         e 
                         
                           
                             j 
                             ⁢ 
                             7 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                     
                     } 
                   
                   ⁢ 
                       
                   and 
                   ⁢ 
                       
                   
                     b 
                     
                       1 
                       , 
                       r 
                       , 
                       0 
                     
                   
                 
                 = 
                 
                   { 
                   
                     
                       e 
                       
                         - 
                         
                           
                             j 
                             ⁢ 
                             π 
                           
                           4 
                         
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   } 
                 
               
             
             , 
           
         
       
     
     where the calculation and reporting of c 0,1,0 , b 1,0,0  and b 1,1,0  can be SB (which requires 3 bits/SB) and the calculation and report of a 1,0,0  and a 1,1,0  are wideband (which requires 4 bits). 
     In one example of Alt 4-3B, c p,0,0 =−c p,0,1 , c p,1,0 =−c p,1,1 , c 0,0,0 =1, c1,0,0∈{1, j}, c 0,1,0 =a 0,1,0 b 0,1,0  and c 1,1,0 =a 1,1,0 b 1,1,0  where 
     
       
         
           
             
               
                 a 
                 
                   p 
                   , 
                   1 
                   , 
                   0 
                 
               
               ∈ 
               
                 
                   { 
                   
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           3 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           5 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           7 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   } 
                 
                 ⁢ 
                     
                 and 
                 ⁢ 
                     
                 
                   b 
                   
                     p 
                     , 
                     1 
                     , 
                     0 
                   
                 
               
               ∈ 
               
                 { 
                 
                   
                     e 
                     
                       - 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   , 
                     
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 } 
               
             
             , 
           
         
       
     
     where the calculation and reporting of c 1,0,0 , b 0,1,0  and b 1,1,0  can be SB (which requires 3 bits/SB), and the calculation and report of a 0,1,0  and a 1,1,0  are WB (which requires 4 bits). 
     In one example of Alt 4-4B, c p,0,0 =c p,0,1 , c p,1,0 =−c p,1,1 , c 0,0,0 =1, c 1,1,0  ∈{1, j}, c 1,0,0 =a 1,0,0 b 1,0,0  and c 0,1,0 =a 0,1,0 b 0,1,0  where 
     
       
         
           
             
               a 
               
                 1 
                 , 
                 0 
                 , 
                 0 
               
             
             , 
             
               
                 a 
                 
                   0 
                   , 
                   1 
                   , 
                   0 
                 
               
               ∈ 
               
                 
                   { 
                   
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           3 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           5 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           7 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   } 
                 
                 ⁢ 
                     
                 and 
                 ⁢ 
                     
                 
                   b 
                   
                     1 
                     , 
                     0 
                     , 
                     0 
                   
                 
               
             
             , 
             
               
                 b 
                 
                   0 
                   , 
                   1 
                   , 
                   0 
                 
               
               ∈ 
               
                 { 
                 
                   
                     e 
                     
                       - 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   , 
                     
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 } 
               
             
             , 
           
         
       
     
     where the calculation and reporting of c 1,1,0 , b 1,0,0  and b 0,1,0  can be SB (which requires 3 bits/SB), and the calculation and report of a 1,0,0  and a 0,1,0  are WB (which requires 4 bits). 
     In one example of Alt 4-5B, the codebook 
     
       
         
           
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
             ⁢ 
                 
             and 
             ⁢ 
                 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     are respectively replaced with any one of the following: a WB ={1,j, −1, −j}(2 bit WB phase) and a SB ={1, j}(1-bit SB phase); a WB ={1,j, −1, −j}(2 bit WB phase) and a SB ={1, −j}(1-bit SB phase); a WB ={1, j, −1, −j}(2 bit WB phase) and 
     
       
         
           
             
               a 
               
                 S 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (1-bit SB phase); 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and 
     
       
         
           
             
               a 
               
                 S 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (1-bit SB phase); 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and a SB ={1, −j}(1-bit SB phase); and 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and a SB ={1,j}(1-bit SB phase). 
     In one example of Alt 4-6B, c p,0,0 =c p,0,1 , c p,1,0 =−c 0,1,0 =1, c 0,1,0 ∈{1, j}, c 1,0,0 ∈{1, j, −1, −j}, c 1,1,0 =c 0,1,0 ·c 1,0,0 , where +the calculation and reporting of c 1,0,0  is WB (which requires 2 bits), and that of c 0,1,0  can be WB or SB (which requires 1 bits/SB). 
     At least one of the following embodiments may be used to support at least one of the above alternatives. In one embodiment, only one of the alternatives is fixed in the specification (e.g. Alt 4-2B). In another embodiment, two of these alternatives are supported in the specification (e.g. Alt 4-6B, Alt 4-2B) and one of the two is configured to the UE (RRC). In another embodiment, one of the alternatives is either configured (via higher layer RRC signaling or dynamic DCI signaling) or UE reports a preferred alternative. In yet another embodiment, Alt 4-6B is supported for both M=2 and 4, and Alt 4-2B is supported for M=2 only. Only one of these methods is specified in the specification. 
     An alternative expression for 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               
                 
                   { 
                   
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           3 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           5 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                     , 
                       
                     
                       e 
                       
                         
                           j 
                           ⁢ 
                           7 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   } 
                 
                 ⁢ 
                     
                 and 
                 ⁢ 
                     
                 
                   a 
                   
                     S 
                     ⁢ 
                     B 
                   
                 
               
               = 
               
                 { 
                 
                   
                     e 
                     
                       - 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   , 
                     
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 } 
               
             
           
         
       
     
     are as follows: 
     
       
         
           
             
               
                 
                   a 
                   
                     W 
                     ⁢ 
                     B 
                   
                 
                 = 
                 
                   
                     { 
                     
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 π 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     k 
                                     2 
                                   
                                   + 
                                   
                                     1 
                                     4 
                                   
                                 
                                 ) 
                               
                             
                           
                           : 
                           k 
                         
                         = 
                         0 
                       
                       , 
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                     } 
                   
                   ⁢ 
                       
                   or 
                   ⁢ 
                       
                   
                     { 
                     
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 π 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     
                                       2 
                                       ⁢ 
                                       k 
                                     
                                     + 
                                     1 
                                   
                                   4 
                                 
                                 ) 
                               
                             
                           
                           : 
                           k 
                         
                         = 
                         0 
                       
                       , 
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                     } 
                   
                   ⁢ 
                       
                   or 
                 
               
                   
             
             ⁢ 
             
 
             
               
                 
                   { 
                   
                     
                       
                         
                           e 
                           
                             
                               j 
                               ⁢ 
                               π 
                             
                             4 
                           
                         
                         ⁢ 
                         
                           e 
                           
                             
                               j 
                               ⁢ 
                               π 
                               ⁢ 
                               k 
                             
                             2 
                           
                         
                         : 
                         k 
                       
                       = 
                       0 
                     
                     , 
                     1 
                     , 
                     2 
                     , 
                     3 
                   
                   } 
                 
                 ; 
                     
                 
                   
                     and 
                     ⁢ 
                         
                     
                       a 
                       
                         S 
                         ⁢ 
                         B 
                       
                     
                   
                   = 
                   
                     
                       { 
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   π 
                                   ⁡ 
                                   ( 
                                   
                                     
                                       k 
                                       2 
                                     
                                     - 
                                     
                                       1 
                                       4 
                                     
                                   
                                   ) 
                                 
                               
                             
                             : 
                             k 
                           
                           = 
                           0 
                         
                         , 
                         1 
                       
                       } 
                     
                     ⁢ 
                         
                     or 
                   
                 
               
                   
             
             ⁢ 
             
 
             
               
                 
                   { 
                   
                     
                       
                         
                           e 
                           
                             j 
                             ⁢ 
                             
                               π 
                               ⁡ 
                               ( 
                               
                                 
                                   
                                     2 
                                     ⁢ 
                                     k 
                                   
                                   - 
                                   1 
                                 
                                 4 
                               
                               ) 
                             
                           
                         
                         : 
                         k 
                       
                       = 
                       0 
                     
                     , 
                     1 
                   
                   } 
                 
                 ⁢ 
                     
                 or 
                 ⁢ 
                     
                 
                   a 
                   
                     S 
                     ⁢ 
                     B 
                   
                 
               
               = 
               
                 
                   { 
                   
                     
                       
                         
                           e 
                           
                             - 
                             
                               
                                 j 
                                 ⁢ 
                                 π 
                               
                               4 
                             
                           
                         
                         ⁢ 
                         
                           e 
                           
                             
                               j 
                               ⁢ 
                               π 
                               ⁢ 
                               k 
                             
                             2 
                           
                         
                         : 
                         k 
                       
                       = 
                       0 
                     
                     , 
                     1 
                   
                   } 
                 
                 . 
               
             
           
         
       
     
     In one embodiment 4A, the PMI codebook for rank 3 and 4 CSI reporting comprises of the following pre-coding matrices 
     
       
         
           
             
               
                 W 
                 = 
                 
                   
                     
                       1 
                       
                         
                           3 
                           ⁢ 
                           M 
                           ⁢ 
                           P 
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             w 
                             
                               0 
                               , 
                               0 
                               , 
                               0 
                             
                           
                         
                         
                           
                             w 
                             
                               0 
                               , 
                               0 
                               , 
                               1 
                             
                           
                         
                         
                           
                             w 
                             
                               0 
                               , 
                               0 
                               , 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             w 
                             
                               0 
                               , 
                               1 
                               , 
                               0 
                             
                           
                         
                         
                           
                             w 
                             
                               0 
                               , 
                               1 
                               , 
                               1 
                             
                           
                         
                         
                           
                             w 
                             
                               0 
                               , 
                               1 
                               , 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             w 
                             
                               1 
                               , 
                               0 
                               , 
                               0 
                             
                           
                         
                         
                           
                             w 
                             
                               1 
                               , 
                               0 
                               , 
                               1 
                             
                           
                         
                         
                           
                             w 
                             
                               1 
                               , 
                               0 
                               , 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             w 
                             
                               1 
                               , 
                               1 
                               , 
                               0 
                             
                           
                         
                         
                           
                             w 
                             
                               1 
                               , 
                               1 
                               , 
                               1 
                             
                           
                         
                         
                           
                             w 
                             
                               1 
                               , 
                               1 
                               , 
                               2 
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                       
                   and 
                 
               
                   
             
             ⁢ 
             
 
             
               
                 W 
                 = 
                 
                   
                     1 
                     
                       
                         4 
                         ⁢ 
                         M 
                         ⁢ 
                         P 
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           w 
                           
                             0 
                             , 
                             0 
                             , 
                             0 
                           
                         
                       
                       
                         
                           w 
                           
                             0 
                             , 
                             0 
                             , 
                             1 
                           
                         
                       
                       
                         
                           w 
                           
                             0 
                             , 
                             0 
                             , 
                             2 
                           
                         
                       
                       
                         
                           w 
                           
                             0 
                             , 
                             0 
                             , 
                             3 
                           
                         
                       
                     
                     
                       
                         
                           w 
                           
                             0 
                             , 
                             1 
                             , 
                             0 
                           
                         
                       
                       
                         
                           w 
                           
                             0 
                             , 
                             1 
                             , 
                             1 
                           
                         
                       
                       
                         
                           w 
                           
                             0 
                             , 
                             1 
                             , 
                             2 
                           
                         
                       
                       
                         
                           w 
                           
                             0 
                             , 
                             1 
                             , 
                             3 
                           
                         
                       
                     
                     
                       
                         
                           w 
                           
                             1 
                             , 
                             0 
                             , 
                             0 
                           
                         
                       
                       
                         
                           w 
                           
                             1 
                             , 
                             0 
                             , 
                             1 
                           
                         
                       
                       
                         
                           w 
                           
                             1 
                             , 
                             0 
                             , 
                             2 
                           
                         
                       
                       
                         
                           w 
                           
                             1 
                             , 
                             0 
                             , 
                             3 
                           
                         
                       
                     
                     
                       
                         
                           w 
                           
                             1 
                             , 
                             1 
                             , 
                             0 
                           
                         
                       
                       
                         
                           w 
                           
                             1 
                             , 
                             1 
                             , 
                             1 
                           
                         
                       
                       
                         
                           w 
                           
                             1 
                             , 
                             1 
                             , 
                             2 
                           
                         
                       
                       
                         
                           w 
                           
                             1 
                             , 
                             1 
                             , 
                             3 
                           
                         
                       
                     
                   
                   ] 
                 
               
               , 
             
           
         
       
     
     respectively, where: w p,r,l =b k     1     +k     1,l     ′k     2     +k     2,l     ′ ·c p,r,l , p=0,1 (for two panels), r=0,1 (for two polarizations), l=0,1,2,3 (for four layers); b k     1     +k     1,l     ′k     2     +k     2,l     ′  is an oversampled 2D DFT beam; k 1 =i 1,1 , k 2 =i 1,2  and the leading beam index (i 1,1 , i 1,2 ) is reported wideband, where i 1,1 =0, 1, . . . N 1 O 1 −1 and i 1,2 =0,1, . . . N 2 O 2 −1, hence it requires ┌log 2 (N 1 O 1 N 2 O 2 )┐ bits; for layer 0 and 1 (l=0, 1), the index pair (k 1,l ′, k 2,l ′)=(0,0); for layer 2 and 3 (l=2, 3), the index pair (k 1,l ′, k 2,l ′) is calculated and reported in a wideband manner according to at least one of the following alternatives. 
     One of the alternatives is supported in the specification. In one example of Alt 4A-0, the same as in LTE Release 13/14 Class A rank 3-4 codebook for Codebook-Config=1, i.e., (k 1,1 ′, k 2,1 ′)∈{(1,0), (0,1)} for 2D antenna port layouts (N 1 &gt;1, N 2 &gt;1), and (k 1,1 ′, k 2,1 ′)∈{(1,0), (2,0), (3,0)} for 1D antenna port layouts (N 1 &gt;1, N 2 =1). 
     In one example of Alt 4A-1, (k 1,1 ′, k 2,1 ′)∈{(1,0), (0,1)} for 2D antenna port layouts (N 1 &gt;1, N 2 &gt;1), and (k 1,1 ′, k 2,1 ′)∈{(1,0), (2,0)} for 1D antenna port layouts (N 1 &gt;1, N 2 =1). 
     In one example of Alt 4A-2, for N 1 &gt;1 and N 2 &gt;2 and N 2 &gt;N 1 : (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (0, O 2 ), (0, 2O 2 )}; for N 2 &gt;1 and N 1 &gt;2 and N 2 &gt;N 1 : (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (0, O 2 ), (2O 1 , 0)}; for N 2 &gt;1 and N 1 &gt;1 and N 1 =N 2 : (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (0, O 2 ), (O 1 , O 2 )}; and for N 2 =1: (k 1,1 ′, k 2,1 ′)={(0,0), (O 1  0), (2O 1 , 0), (3O 1 , 0)} The last two values are not applicable for 4 ports (i.e., N 1 =2). 
     In one example of Alt 4A-3, for N 1 &gt;1 and N 2 &gt;2 and N 2 &gt;N 1 : (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (0, O 2 ), (0, (N 2 −1)O 2 )}; for N 2 &gt;1 and N 1 &gt;2 and N 1 &gt;N 2 : (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (0, O 2 ), ((N 1 −1)O 1 , 0)}; for N 2 &gt;1 and N 1 &gt;1 and N 1 =N 2 : (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (0, O 2 ), (O 1 , O 2 )}; and for N 2 =1: (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (2O 1 , 0), ((N 1 −1)O 1 , 0)}. The last two values are not applicable for 4 ports (i.e., N 1 =2). 
     In one example of Alt 4A-4, for N 2 &gt;1 and N 1 &gt;1: (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (0, O 2 ), (O 1 , O 2 )}; and for N 2 =1: (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (2O 1 , 0), (3O 1 , 0)}. The last two values are not applicable for 4 ports (i.e., N 1 =2). 
     In one example of Alt 4A-5, for N 2 &gt;1 and N 1 &gt;1: (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (0, O 2 ), (O 1 , O 2 )}; and for N 2 =1: (k 1,1 ′, k 2,1 ′)={(0,0), (O 1 , 0), (2O 1 , 0), ((N 1 −1)O 1 , 0)}. The last two values are not applicable for 4 ports (i.e., N 1 =2). 
     c p,r,l  is the co-phase value for panel p, polarization r and layer l. The reporting of c p,r,l  is according to the codebook in at least one of Alt 4-0A through Alt 4-5A or/and Alt 4-0B through Alt 4-5B. 
     In one embodiment 4B, the PMI codebook for rank 5, rank 6, rank 7, and 8 CSI reporting comprises of the following pre-coding matrices 
     
       
         
           
             
               
                 W 
                 = 
                 
                   
                     1 
                     
                       
                         5 
                         ⁢ 
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                         ⁢ 
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                   [ 
                   
                     
                       
                         
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                             0 
                             , 
                             0 
                             , 
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                                   , 
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                                   , 
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                   ] 
                 
               
               , 
               
 
               
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                 = 
                 
                   
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                   ] 
                 
               
               , 
               
 
               and 
             
             ⁢ 
             
 
             
               W 
               = 
               
                 
                   
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                   ] 
                 
                 ⁢ 
                     
                 
                   respectively 
                   . 
                 
               
             
           
         
       
     
     In such embodiment, w p,r,l =b k     1     +k     1,l     ′k     2     +k     2,l     ′ ·c p,r,l , p=0,1 (for two panels), r=0,1 (for two polarizations), l=0,1,2,3,5,6,7,8 (for up to eight layers), b k     1     +k     1,l     ′k     2     +k     2,l     ′  is an oversampled 2D DFT beam, k 1 =i 1,1 , k 2 =i 1,2  and the leading beam index (i 1,1 , i 1,2 ) is reported wideband, where i 1,1 =0, 1, . . . N 1 O 1 −1 and i 1,2 =0,1, . . . N 2 O 2 −1, hence it requires ┌log 2 (N 1 O 1 N 2 O 2 )┐ bits. 
     For layer 0 and 1 (l=0, 1), the index pair (k 1,l ′, k 2,l ′)=(b 1,0 , b 2,0 ), for layer 2 and 3 (l=2, 3), the index pair (k 1,l ′, k 2,l ′)=(b 1,1 , b 2,1 ), for layer 4 and 5 (l=4, 5), the index pair (k 1,l ′, k 2,l ′)=(b 1,2 , b 2,2 ) and for layer 6 and 7 (l=6, 7), the index pair (k 1,l ′, k 2,l ′)=(b 1,3 , b 2,3 ), where (b 1,0 , b 2,0 ), (b 1,1 , b 2,1 ), (b 1,2 , b 2,2 ), and (b 1,3 , b 2,3 ) for different layers are determined according to at least one of the following alternatives. 
     In one example of Alt 4B-0, (b 1,0 , b 2,0 ), (b 1,1 , b 2,1 ), (b 1,2 , b 2,2 ), and (b 1,3 , b 2,3 ) are determined based on fixed orthogonal beam patterns (similar to Rel. 13/14 LTE Class A rank 5-8) using higher layer RRC parameter Codebook-Config, where Codebook-Config=1,2,3,4 which correspond to the orthogonal beam groups in LTE specification Class A rank 5-8. 
     In one example of Alt 4B-1, Alt 4B-0 in which UE reports a preferred orthogonal beam group using a 2-bit CSI reporting which is reported in a WB manner. This reporting can be separate or joint with other WB CSI reports such as (PMI i 1 ). Alternatively, the reporting can be restricted to 1 bit. 
     In one example of Alt 4B-2, (b 1,0 , b 2,0 ), (b 1,1 , b 2,1 ), (b 1,2 , b 2,2 ), and (b 1,3 , b 2,3 ) are determined based on independent or free selection from full orthogonal DFT basis comprising of N 1 N 2  orthogonal beams. 
     The extension of embodiment 4 to M&gt;2 antenna panels, for example M=4, is straightforward to those the skilled in the art. 
     In one embodiment 5, the UE is configured with the CQI reporting, in addition to RI/PMI, according to at least one of the following alternatives. In one example of Alt 5-0, a joint CQI common for all panels is reported. An example use case of this alternative is when all layers are transmitted from all panels. In one example of Alt 5-1, per panel CQI is reported, i.e. M CQIs are reported in total. An example use case of this alternative is when different layers are transmitted from different panels. For example, layer 0 is transmitted from panel 0, layer 1 is transmitted from panel 1, and so on. 
     In one embodiment 6, the UE is configured with the RI reporting, in addition to CQI/PMI, according to at least one of the following alternatives. In one example of Alt 6-0, RI=M is fixed, and hence no RI is reported. In one example of Alt 6−1, a joint RI common for all panels is reported. An example use case of this alternative is when all layers are transmitted from all panels. In one example of Alt 5-2, per panel RI is reported, i.e. M RIs are reported in total. An example use case of this alternative is when different layers are transmitted from different panels. For example, at least one of layer 0 and 1 is transmitted from panel 0, at least one of layer 2 and 3 is transmitted from panel 1, and so on. In this case, each reported RI can be 1 bit. 
     In one embodiment 7, the UE is configured with the CRI reporting either alone or together with CSI reports CQI/PMI/RI. 
     In one embodiment 8, the UE is configured the CSI reporting for hybrid beamforming architecture comprising of both radio frequency (RF) or analog beams (precoding) in addition to the digital or baseband precoding. In addition, the beams in the W1 codebook is used to report analog beam and W2 is used to report inter-panel or/and intra-panel phase where the W 2  codebook is according to some embodiment of the present disclosure. 
     In one embodiment 9, the UE is configured with the SB sizes K 1  and K 2  respectively for inter-panel co-phasing and intra-panel (inter-polarization) co-phasing. A few alternatives for (K 1 , K 2 ) are as follows. In one example of Alt 9-0, K 1 =K 2 . In one example of Alt 9-1, K 1 =r×K 2 , where r is an integer, for example belonging to {1, 2, 3, 4}. In one example of Alt 9-2, K 2 =r×K 1 , where r is an integer, for example belonging to {1, 2, 3, 4}. In one example of Alt 9-3, K 1 =r×K 2 , where r is an integer or 1 or a fraction, for example belonging to {¼, ⅓, ½, 1, 2, 3, 4}. In one example of Alt 9-4, Alt-3 where the r value depends on the system bandwidth (BW). For example, for smaller BWs, r=1, and for larger BWs, r=2 or 4. In one example of Alt 9-5, a single (K 1 , K 2 ) according to one of Alt 9-0 to Alt 9-3 is configured either higher layer RRC or dynamic MAC CE based or DCI signaling. In one example of Alt 9-6, the K 1  value is configured via higher layer RRC or dynamic MAC CE based or DCI signaling and the K 2  value is fixed, either BW-dependent or BW-independent. In one example of Alt 9-7, the K 2  value is configured via higher layer RRC or dynamic MAC CE based or DCI signaling and the K 1  value is fixed, either BW-dependent or BW-independent. In one example of Alt 9-8, a combination of at least one of Alt 9-0 through Alt 9-7. 
     In one embodiment, only one of the alternatives is fixed in the specification. In another embodiment, one of the alternatives is either configured (via higher layer RRC signaling or dynamic DCI signaling) or UE reports a preferred alternative 
     In one embodiment 10, for M=4, a UE is configured with a PMI codebook for CSI feedback according to at least one of the following alternatives. In one example of Alt 10-0 (panel selection), 2 out of 4 panels are selected, and then the PMI codebook for 2 panels is used to report PMI for the selected two panels. This panel selection can be reported either in a WB manner or per SB, where this reporting requires 
     
       
         
           
             
               ⌈ 
               
                 
                   log 
                   2 
                 
                 ( 
                 
                   
                     
                       4 
                     
                   
                   
                     
                       2 
                     
                   
                 
                 ) 
               
               ⌉ 
             
             = 
             
               3 
               ⁢ 
                   
               bits 
             
           
         
       
     
     which can be reported either jointly with other WB/SB CSI components such as PMI1/PMI2 or separately as a separate WB/SB CSI report. In an example, panel selection is reported using CRI (CSI-RS resource indicator). 
     In one example of Alt 10-1 (panel/polarization combination selection), 4 out of 8 panel and polarization combinations (2 polarizations and 4 panels, hence 8 combinations) are selected, and then the PMI codebook for 2 panels (which is equivalent to 4 panel and polarization combinations) is used to report PMI for the selected four panel and polarization combinations. This panel/polarization combination selection can be reported either in a WB manner or per SB, where this reporting requires 
     
       
         
           
             
               ⌈ 
               
                 
                   log 
                   2 
                 
                 ( 
                 
                   
                     
                       8 
                     
                   
                   
                     
                       4 
                     
                   
                 
                 ) 
               
               ⌉ 
             
             = 
             
               7 
               ⁢ 
                   
               bits 
             
           
         
       
     
     which can be reported either jointly with other WB/SB CSI components such as PMI1/PMI2 or separately as a separate WB/SB CSI report. In an example, panel/polarization combination selection is reported using CRI (CSI-RS resource indicator) 
     In one example of Alt 10-2, for rank 1 W 2 =[C 0,0,0  c 0,1,0  c 1,0,0  c 1,1,0  c 2,0,0  c 2,1,0  c 3,0,0  c 3,1,0 ] T . In such example, p=0: c 0,0,0 =1, c 1,1,0  ∈{1, j, −1, −j} is reported SB (requires 2 bits for reporting), and p&gt;0, r=0,1,: c p,r,0 =a p,r,0 b p,r,0  where 
     
       
         
           
             
               a 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     is reported WB and 
     
       
         
           
             
               b 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     is reported SB (hence, requires 12 WB bits and 6 SB bit). In total, this alternative requires, 12 WB bits to report WB part of the phase and 8 SB bits to report SB part of the phase. For rank 2, c p,0,1 =c p,0,0  and c p,1,1 =−c p,1,0 . 
     In one example of Alt 10-3, for rank 1 W 2 =[C 0,0,0  c 0,1,0  c 1,0,0  c 1,1,0  c 2,0,0  c 2,1,0  C 3,0,0  c 3,1,0 ] T , p=0,1,2,3, and r=0, 1: c p,r,0 =a p,r,0 b p,r,0  where 
     
       
         
           
             
               a 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     is reported WB and 
     
       
         
           
             
               b 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     is reported SB. In total, this alternative requires, 14 WB bits to report WB part of the phase and 7 SB bits to report SB part of the phase. For rank 2, c p,0,1 =c p,0,0  and c p,1,1 =−c p,1,0 . 
     In one example of Alt 10-4, for rank 1 W 2 =[C 0,0,0  c 0,1,0  c 1,0,0  c 1,1,0  c 2,0,0  c 2,1,0  c 3,0,0  c 3,1,0 ] T , p=0: c 0,0,0 =1, c 1,1,0  ∈{1, j, −1, −j} is reported SB (requires 2 bits for reporting), and p&gt;0, r=0,1,: c p,0,0 =c p,1,0 =a p,r,0 b p,r,0  where 
     
       
         
           
             
               a 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     is reported WB and 
     
       
         
           
             
               b 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     is reported SB (hence, requires 6 WB bits and 3 SB bit). In total, this alternative requires, 6 WB bits to report WB part of the phase and 5 SB bits to report SB part of the phase. For rank 2, c p,0,1 =c p,0,0  and c p,1,1 =−c p,1,0 . 
     In one example of Alt 10-5, for rank 1 W 2 =[C 0,0,0  c 0,1,0  c 1,0,0  c 1,1,0  c 2,0,0  c 2,1,0  c 3,0,0  c 3,1,0 ] T , p=0, 1, 2, 3, and r=0, 1,: c p,0,0 =c p,1,0 =a p,r,0 b p,r,0  where 
     
       
         
           
             
               a 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     is reported WB and 
     
       
         
           
             
               b 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                   
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     is reported SB. In total, this alternative requires, 8 WB bits to report WB part of the phase and 4 SB bits to report SB part of the phase. For rank 2, c p,0,1 =c p,0,0  and c p,1,1 =−c p,1,0 . 
     In one embodiment 11, a UE is configured with a PMI codebook for multi panels (N g =M&gt;1) for all ranks (e.g. 1-8), which can be constructed from the single panel PMI codebook (N g =M=1) by the following pre-coder relation: w p,r,l =b k     1     +k     1,l     ′k     2     +k     2,l     ′ ·c p,r,l , where p=0,1, . . . , N g −1 (panel, where N g  denotes the number of panels), r=0,1 (two polarizations), l=0, 1, . . . , R−1 (layers, where R denotes rank), b k     1     +k     1,l     ′k     2     +k     2,l     ′  corresponds to a single 2D DFT beam (L=1) in the W 1  codebook; where (k 1,l ′, k 2,l ′)=(0,0) for rank 1 and 2, is according to Embodiment 4A and 4B for rank 3-8, and c p,r,l  is co-phasing coefficient between panels and polarizations. The inter-panel co-phasing payload is configurable via RRC. In one example of Mode 1, this mode corresponds to lower payload, and is supported for both N g =2 or 4. In one example of Mode 2, his mode corresponds to higher payload, and at least supported for N g =2. For N g =4, this mode can be supported with maximum 4 bits/subband according to at least one alternative in the aforementioned embodiment 10. 
     For rank 1, c p,r,0  is given as follows. In one example of Mode 1, c 0,0,0 =1, c 0,1,0  ∈{1, j, −1, −j}, c p,0,0  ∈{1, j, −1, −j} and c p,1,0 =c 0,1,0 ×c p,0,0 . In such mode, the calculation and reporting of c 0,1,0  can be subband (requires 2 bits/subband). In such mode, the calculation and reporting of c p,0,0  is wideband (requires 2×(N g −1) bits). 
     In one example of Mode 2, c 0,0,0 =1, c 0,1,0  ∈{1, j, −1, −j} and c p,r,0 =a p,r,0 ×b p,r,0  where p&gt;0, 
     
       
         
           
             
               a 
               
                 p 
                 , 
                 r 
                 , 
                 0 
               
             
             ∈ 
             
               
                 { 
                 
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                   , 
                     
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         3 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                   , 
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         5 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                   , 
                     
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         7 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 } 
               
               ⁢ 
                   
               and 
               ⁢ 
               
                   
                    
               
               ⁢ 
               
                 b 
                 
                   p 
                   , 
                   r 
                   , 
                   0 
                 
               
             
             ∈ 
             
               
                 { 
                 
                   
                     e 
                     
                       - 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   , 
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 } 
               
               . 
             
           
         
       
     
     In such mode, the calculation and reporting of c 0,1,0  and b p,r,0  can be subband (2+2×(N g −1) bits/subband). In such mode, the calculation and reporting of a p,r,0  is wideband (4×(N g −1) bits). 
     For rank 2, 
     
       
         
           
             
               c 
               
                 p 
                 , 
                 r 
                 , 
                 l 
               
             
             = 
             
               
                 
                   c 
                   
                     r 
                     , 
                     l 
                   
                 
                 
                   c 
                   
                     r 
                     , 
                     0 
                   
                 
               
               × 
               
                 c 
                 
                   p 
                   , 
                   r 
                   , 
                   0 
                 
               
             
           
         
       
     
     for l=1, c 0,1,0  ∈{1, j}, c p,0,1 =c p,0,0  and c p,1,1 =−c p,1,0 ·c 0,0 =c 0,1 =1, c 1,0 =−c 1,1 , and c 1,0  ∈{1, j} and c p,r,0  is given in the above rank 1 MP codebook for each mode. For ranks 3-8, the codebook in (or their extension) the aforementioned embodiments 4A and 4B can be used. 
     In one embodiment 12, a UE is configured with a PMI codebook for multi panels (N g =M&gt;1) as follows. For 8 antenna ports (e.g. {15, 16, . . . , 22}), 16 antenna ports (e.g. {15, 16, . . . , 30}), 32 antenna ports (e.g. {15, 16, . . . , 46}), when the number of layers v=1, each PMI value corresponds to four codebook indices i 1,1 , i 1,2 , i 1,4 , i 2  and when the number of layers V∈{2,3,4}, each PMI value corresponds to five codebook indices i 1,1 , i 1,2 , i 1,3 , i 1,4 , i 2 . The codebooks for 1-4 layers are given respectively in TABLES 8-11. The mapping from i 1,3  to k 1  and k 2  for 2-layer reporting is given in TABLE 6. The mapping from i 1,3  to k 1  and k 2  for 3-layer and 4-layer reporting is given in TABLE 7. The quantities φ n , a p , b p , u m , and v l,m , are given by: 
     
       
         
           
             
               
                 
                   
                     
                       φ 
                       n 
                     
                     = 
                     
                       e 
                       
                         j 
                         ⁢ 
                         π 
                         ⁢ 
                         
                           n 
                           / 
                           2 
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       a 
                       p 
                     
                     = 
                     
                       
                         e 
                         
                           j 
                           ⁢ 
                           
                             π 
                             ⁡ 
                             ( 
                             
                               
                                 p 
                                 / 
                                 2 
                               
                               + 
                               
                                 1 
                                 / 
                                 4 
                               
                             
                             ) 
                           
                         
                       
                       = 
                       
                         
                           e 
                           
                             j 
                             ⁢ 
                             
                               π 
                               / 
                               4 
                             
                           
                         
                         ⁢ 
                         
                           e 
                           
                             j 
                             ⁢ 
                             π 
                             ⁢ 
                             
                               p 
                               / 
                               2 
                             
                           
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       b 
                       p 
                     
                     = 
                     
                       
                         e 
                         
                           j 
                           ⁢ 
                           
                             π 
                             ⁡ 
                             ( 
                             
                               
                                 p 
                                 / 
                                 2 
                               
                               - 
                               
                                 1 
                                 / 
                                 4 
                               
                             
                             ) 
                           
                         
                       
                       = 
                       
                         
                           e 
                           
                             
                               - 
                               j 
                             
                             ⁢ 
                             
                               π 
                               / 
                               4 
                             
                           
                         
                         ⁢ 
                         
                           e 
                           
                             j 
                             ⁢ 
                             π 
                             ⁢ 
                             
                               p 
                               / 
                               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 
                                             
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           
                             
                               
                                 N 
                                 2 
                               
                               &gt; 
                               1 
                             
                           
                         
                         
                           
                             1 
                           
                           
                             
                               
                                 N 
                                 2 
                               
                               = 
                               1 
                             
                           
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       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 g , N 1 , and N 2  are configured with the higher-layer parameters CodebookConfig-Ng, CodebookConfig-N1 and CodebookConfig-N2, respectively. The supported configurations of (N g , N 1 , N 2 ) for a given number of CSI-RS ports and the corresponding values of (O 1 , O 2 ) are given in TABLE 4. The number of CSI-RS ports, P CSI-RS , is 2N g N 1 N 2 . 
     A UE may only use i 1,2 =0 and may not report i 1,2  if the value of CodebookConfig-N2 is set to 1. 
     
       
         
           
               
             
               
                 TABLE 6 
               
             
            
               
                   
               
               
                 Mapping of i 1,3  to k 1  and k 2  for 2-layer CSI reporting for N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
            
               
                   
                 N 1  = 4, N 2  = 2 
                 N 1  = 2, N 2  = 2 
                 N 1  = 2, N 2  = 1 
                 N 1  &gt; 2, N 2  = 1 
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 i 1,3   
                 k 1   
                 k 2   
                 k 1   
                 k 2   
                 k 1   
                 k 2   
                 k 1   
                 k 2   
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
            
               
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 1 
                   0 1   
                 0 
                  0 1   
                 0 
                  0 1   
                 0 
                  0 1   
                 0 
               
               
                 2 
                 0 
                   0 2   
                 0 
                   0 2   
                   
                   
                 20 1   
                 0 
               
               
                 3 
                 20 1    
                 0 
                  0 1   
                   0 2   
                   
                   
                 30 1   
                 0 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 7 
               
             
            
               
                   
               
               
                 Mapping of i 1,3  to k 1  and k 2  for 3-layer and 4-layer CSI reporting for N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
               
            
               
                   
                 N 1  = 2, N 2  = 1 
                 N 1  = 4, N 2  = 1 
                 N 1  = 8, N 2  = l 
                 N 1  = 2, N 2  = 2 
                 N 1  = 4, N 2  = 2 
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 i 1,3   
                 k 1   
                 k 2   
                 k 1   
                 k 2   
                 k 1   
                 k 2   
                 k 1   
                 k 2   
                 k 1   
                 k 2   
               
               
                   
               
            
           
           
               
               
               
               
               
               
               
               
               
               
               
            
               
                 0 
                 0 1   
                 0 
                  0 1   
                 0 
                  0 1   
                 0 
                  0 1   
                 0 
                  0 1   
                 0 
               
               
                 1 
                   
                   
                 20 1   
                 0 
                 20 1   
                 0 
                 0 
                  0 2   
                 0 
                   0 2   
               
               
                 1 
                   
                 30 1    
                 0 
                 30 1   
                 0 
                   0 1   
                  0 2   
                  0 1   
                  0 2   
                   
               
               
                 3 
                   
                   
                   
                 40 1   
                 0 
                   
                   
                 20 1   
                 0 
                   
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 8 
               
             
            
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 4 N     g     −1  − 1 
                 0, 1, 2, 3 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             for 
                             ⁢ 
                                 
                             
                               N 
                               g 
                             
                           
                           = 
                           2 
                         
                         , 
                         
                           
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 1 
                                 ) 
                               
                             
                             = 
                             
                               
                                 1 
                                 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         x 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           ; 
                           and 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             for 
                             ⁢ 
                                 
                             
                               N 
                               g 
                             
                           
                           = 
                           4 
                         
                         , 
                         
                           
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 1 
                                 ) 
                               
                             
                             = 
                             
                               
                                 1 
                                 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           ; 
                           
                             
                               p 
                               1 
                             
                             = 
                             
                               ⌊ 
                               
                                 p 
                                 16 
                               
                               ⌋ 
                             
                           
                           ; 
                           
                             
                               p 
                               2 
                             
                             = 
                             
                               ⌊ 
                               
                                 p 
                                 4 
                               
                               ⌋ 
                             
                           
                           ; 
                           
                             
                               p 
                               3 
                             
                             = 
                             
                               p 
                               . 
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 1 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                                
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 9 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 4 N     g     −1  − 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             for 
                             ⁢ 
                                 
                             
                               N 
                               g 
                             
                           
                           = 
                           2 
                         
                         , 
                         
                           
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                             = 
                             
                               
                                 1 
                                 
                                   
                                     2 
                                     ⁢ 
                                     
                                       P 
                                       
                                         CSI 
                                         ⁢ 
                                         ‐ 
                                         ⁢ 
                                         RS 
                                       
                                     
                                   
                                 
                               
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           p 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           ; 
                           and 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             for 
                             ⁢ 
                                 
                             
                               N 
                               g 
                             
                           
                           = 
                           4 
                         
                         , 
                         
                           
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                             = 
                             
                               
                                 1 
                                 
                                   
                                     2 
                                     ⁢ 
                                     
                                       P 
                                       
                                         CSI 
                                         ⁢ 
                                         ‐ 
                                         ⁢ 
                                         RS 
                                       
                                     
                                   
                                 
                               
                               [ 
                               
                                 
                                   
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                   
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           
                                             p 
                                             1 
                                           
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           
                                             p 
                                             2 
                                           
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           
                                             p 
                                             3 
                                           
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           ; 
                           
                             
                               p 
                               1 
                             
                             = 
                             
                               ⌊ 
                               
                                 p 
                                 16 
                               
                               ⌋ 
                             
                           
                           ; 
                           
                             
                               p 
                               2 
                             
                             = 
                             
                               ⌊ 
                               
                                 p 
                                 4 
                               
                               ⌋ 
                             
                           
                           ; 
                           
                             
                               p 
                               3 
                             
                             = 
                             
                               p 
                               . 
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, . . . , 7 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                                
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 10 
               
             
            
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 4 N     g     −1  − 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             for 
                             ⁢ 
                                 
                             
                               N 
                               g 
                             
                           
                           = 
                           2 
                         
                         , 
                         
                           
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                             = 
                             
                               
                                 1 
                                 
                                   
                                     3 
                                     ⁢ 
                                     
                                       P 
                                       
                                         CSI 
                                         ⁢ 
                                         ‐ 
                                         ⁢ 
                                         RS 
                                       
                                     
                                   
                                 
                               
                               [ 
                               
                                 
                                   
                                     
                                       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 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           p 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           ; 
                           and 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   
                                     for 
                                     ⁢ 
                                         
                                     
                                       N 
                                       g 
                                     
                                   
                                   = 
                                   4 
                                 
                                 , 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       3 
                                       ) 
                                     
                                   
                                   = 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         3 
                                         ⁢ 
                                         
                                           P 
                                           
                                             CSI 
                                             ⁢ 
                                             ‐ 
                                             ⁢ 
                                             RS 
                                           
                                         
                                       
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           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 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 2 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 ; 
                                 
                                   
                                     p 
                                     1 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       16 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     2 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       4 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     3 
                                   
                                   = 
                                   
                                     p 
                                     . 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, . . . , 7 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                                
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 11 
               
             
            
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 4 N     g     −1  − 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             for 
                             ⁢ 
                                 
                             
                               N 
                               g 
                             
                           
                           = 
                           2 
                         
                         , 
                         
                           
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 4 
                                 ) 
                               
                             
                             = 
                             
                               
                                 1 
                                 
                                   
                                     4 
                                     ⁢ 
                                     
                                       P 
                                       
                                         CSI 
                                         ⁢ 
                                         ‐ 
                                         ⁢ 
                                         RS 
                                       
                                     
                                   
                                 
                               
                               [ 
                               
                                 
                                   
                                     
                                       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 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         p 
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           p 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           l 
                                           , 
                                           m 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           p 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         v 
                                         
                                           
                                             l 
                                             ′ 
                                           
                                           , 
                                           
                                             m 
                                             ′ 
                                           
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           ; 
                           and 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   
                                     for 
                                     ⁢ 
                                         
                                     
                                       N 
                                       g 
                                     
                                   
                                   = 
                                   4 
                                 
                                 , 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                   = 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         4 
                                         ⁢ 
                                         
                                           P 
                                           
                                             CSI 
                                             ⁢ 
                                             ‐ 
                                             ⁢ 
                                             RS 
                                           
                                         
                                       
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           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 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 2 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 2 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 ; 
                                 
                                   
                                     p 
                                     1 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       16 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     2 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       4 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     3 
                                   
                                   = 
                                   
                                     p 
                                     . 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, . . . , 7 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         4 
                                         ⁢ 
                                         
                                           P 
                                           
                                             CSI 
                                             ⁢ 
                                             ‐ 
                                             ⁢ 
                                             RS 
                                           
                                         
                                       
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               n 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               n 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 n 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 n 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               a 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               a 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 ; 
                                 
                                   
                                     p 
                                     2 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       4 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     3 
                                   
                                   = 
                                   p 
                                 
                                 ; 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                                
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment 12A, for Codebook-Config=1, two separate codebook tables are used for N g =2 and N g =4, as shown in TABLES 12-15 for 1-layer, 2-layer, 3-layer, and 4-layer, respectively. 
     
       
         
           
               
             
               
                 TABLE 12 
               
             
            
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 P 
                                 
                                   CSI 
                                   ⁢ 
                                   ‐ 
                                   ⁢ 
                                   RS 
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     x 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 1, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 63 
                 0, 1, 2, 3 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 1 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       x 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       x 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               16 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 13 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 2 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     
                                       l 
                                       ′ 
                                     
                                     , 
                                     
                                       m 
                                       ′ 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       n 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       p 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 1, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 63 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               16 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 14 
               
             
            
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 3 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   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 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       p 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 1, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 63 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       3 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         3 
                                         ⁢ 
                                         
                                           P 
                                           
                                             CSI 
                                             ⁢ 
                                             ‐ 
                                             ⁢ 
                                             RS 
                                           
                                         
                                       
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           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 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 2 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 ; 
                                 
                                   
                                     p 
                                     1 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       16 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     2 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       4 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     3 
                                   
                                   = 
                                   p 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 15 
               
             
            
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 4 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   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 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       p 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       p 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 1, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 63 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         4 
                                         ⁢ 
                                         
                                           P 
                                           
                                             CSI 
                                             ⁢ 
                                             ‐ 
                                             ⁢ 
                                             RS 
                                           
                                         
                                       
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           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 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 2 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 2 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             φ 
                                             n 
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 ; 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     p 
                                     1 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       16 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     2 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       4 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     3 
                                   
                                   = 
                                   p 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment 12B, for Codebook-Config=1, and N g =4, instead of joint reporting of p 1 , p 2 , and p 3  using i 1,4 , CSI is reported separately using indices (i 1,4,1 , i 1,4,2 , i 1,4,3 ) or (i 1,4 , i 1,5 , i 1,6 ) for (p 1 , p 2 , p 3 ). The codebook tables for 1-4 layers are shown in TABLES 16-19. 
     
       
         
           
               
             
               
                 TABLE 16 
               
             
            
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 1, N g  = 4 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 1,4,3   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 W i     1,1     ,i     1,2     ,i     1,4,1     ,i     1,4,2     ,i     1,4,3     ,i     2     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               
                                 p 
                                 1 
                               
                               , 
                               
                                 p 
                                 2 
                               
                               , 
                               
                                 p 
                                 3 
                               
                               , 
                               n 
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 P 
                                 
                                   CSI 
                                   ⁢ 
                                   ‐ 
                                   ⁢ 
                                   RS 
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 17 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 1, N g  = 4 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 1,4,3   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     1,4,3     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 p 
                                 1 
                               
                               , 
                               
                                 p 
                                 2 
                               
                               , 
                               
                                 p 
                                 3 
                               
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 2 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     
                                       l 
                                       ′ 
                                     
                                     , 
                                     
                                       m 
                                       ′ 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       n 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 18 
               
             
            
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 1, N g  = 4 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 1,4,3   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     1,4,3     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 p 
                                 1 
                               
                               , 
                               
                                 p 
                                 2 
                               
                               , 
                               
                                 p 
                                 3 
                               
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 3 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   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 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
                     TABLE 19                  Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ]       Codebook-Config = 1, N g  = 4                                         i 1,1     i 1,2     i 1,4,1     i 1,4,2     i 1,4,3     i 2                     0, 1, . . . , N 1 O 1  − 1   0, 1, . . . , N 2 O 2  − 1   0, 1, 2, 3   0, 1, 2, 3   0, 1, 2, 3   0, 1   W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     1,4,3     ,i     2     (4)                                     where   ⁢           W     l   ,     l   ′     ,   m   ,     m   ′     ,     p   1     ,     p   2     ,     p   3     ,   n       (   4   )         =       1       4   ⁢     P     CSI   ⁢   ‐   ⁢   RS             [           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   ′                       φ     p   1       ⁢     v     l   ,   m                 φ     p   1       ⁢     v       l   ′     ,     m   ′                   φ     p   1       ⁢     v     l   ,   m                 φ     p   1       ⁢     v       l   ′     ,     m   ′                       φ     p   1       ⁢     φ   n     ⁢     v     l   ,   m                 φ     p   1       ⁢     φ   n     ⁢     v       l   ′     ,     m   ′                   -     φ     p   1         ⁢     φ   n     ⁢     v     l   ,   m                 -     φ     p   1         ⁢     φ   n     ⁢     v       l   ′     ,     m   ′                       φ     p   2       ⁢     v     l   ,   m                 φ     p   2       ⁢     v       l   ′     ,     m   ′                   φ     p   2       ⁢     v     l   ,   m                 φ     p   2       ⁢     v       l   ′     ,     m   ′                       φ     p   2       ⁢     φ   n     ⁢     v     l   ,   m                 φ     p   2       ⁢     φ   n     ⁢     v       l   ′     ,     m   ′                   -     φ     p   2         ⁢     φ   n     ⁢     v     l   ,   m                 -     φ     p   2         ⁢     φ   n     ⁢     v       l   ′     ,     m   ′                       φ     p   3       ⁢     v     l   ,   m                 φ     p   3       ⁢     v       l   ′     ,     m   ′                   φ     p   3       ⁢     v     l   ,   m                 φ     p   3       ⁢     v       l   ′     ,     m   ′                       φ     p   3       ⁢     φ   n     ⁢     v     l   ,   m                 φ     p   3       ⁢     φ   n     ⁢     v       l   ′     ,     m   ′                   -     φ     p   3         ⁢     φ   n     ⁢     v     l   ,   m                 -     φ     p   3         ⁢     φ   n     ⁢     v       l   ′     ,     m   ′                 ]                              
Similarly, for Codebook-Config=2, and N g =2, instead of joint reporting of p 2  and p 3  using i 1,4 , CSI is reported separately using indices (i 1,4,1 , i 1,4,2 ) or (i 1,4 , i 1,5 ) for (p 2 , p 3 ), and instead of joint reporting of n 1 , n 2 , and n 3  using i 2 , CSI is reported separately using indices (i 2,1 , i 2,2 , i 2,3 ) or (i 2 , i 3 , i 4 ) for (n 1 , n 2 , n 3 ). The codebook tables for 1-4 layers are shown in TABLES 20-23.
 
     
       
         
           
               
             
               
                 TABLE 20 
               
             
            
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 2,1   
                 i 2,2   
                 i 2,3   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 0, 1 
                 W i     1,1     ,i     1,2     ,i     1,4,1     ,i     1,4,2     ,i     2,1     ,i     2,2     ,i     2,3     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               
                                 p 
                                 2 
                               
                               , 
                               
                                 p 
                                 3 
                               
                               , 
                               
                                 n 
                                 1 
                               
                               , 
                               
                                 n 
                                 2 
                               
                               , 
                               
                                 n 
                                 3 
                               
                             
                             
                               ( 
                               1 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 P 
                                 
                                   CSI 
                                   ⁢ 
                                   ‐ 
                                   ⁢ 
                                   RS 
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       n 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 21 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 2,1   
                 i 2,2   
                 i 2,3   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 0, 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     2,1     ,i     2,2     ,i     2,3     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 p 
                                 2 
                               
                               , 
                               
                                 p 
                                 3 
                               
                               , 
                               
                                 n 
                                 1 
                               
                               , 
                               
                                 n 
                                 2 
                               
                               , 
                               
                                 n 
                                 3 
                               
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 2 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     
                                       l 
                                       ′ 
                                     
                                     , 
                                     
                                       m 
                                       ′ 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       n 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 22 
               
             
            
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 2,1   
                 i 2,2   
                 i 2,3   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 0, 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     2,1     ,i     2,2     ,i     2,3     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 p 
                                 2 
                               
                               , 
                               
                                 p 
                                 3 
                               
                               , 
                               
                                 n 
                                 1 
                               
                               , 
                               
                                 n 
                                 2 
                               
                               , 
                               
                                 n 
                                 3 
                               
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 3 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     
                                       l 
                                       ′ 
                                     
                                     , 
                                     
                                       m 
                                       ′ 
                                     
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       n 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       n 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 23 
               
             
            
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 2,1   
                 i 2,2   
                 i 2,3   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 0, 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     2,1     ,i     2,2     ,i     2,3     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 p 
                                 2 
                               
                               , 
                               
                                 p 
                                 3 
                               
                               , 
                               
                                 n 
                                 1 
                               
                               , 
                               
                                 n 
                                 2 
                               
                               , 
                               
                                 n 
                                 3 
                               
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 4 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     
                                       l 
                                       ′ 
                                     
                                     , 
                                     
                                       m 
                                       ′ 
                                     
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     
                                       l 
                                       ′ 
                                     
                                     , 
                                     
                                       m 
                                       ′ 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       n 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       n 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In another alternative, for Codebook-Config=2, and N g =2, instead of joint reporting of p 2  and p 3  using i 1,4 , CSI is reported separately using indices (i 1,4,1 , i 1,4,2 ) or (i 1,4 , i 1,5 ) for (p 2 , p 3 ), and n 1 , n 2 , and n 3  are reported jointly using i 2 . The codebook tables for 1-4 layers are shown in TABLES 24-27. 
     
       
         
           
               
             
               
                 TABLE 24 
               
             
            
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4,1     ,i     1,4,2     ,i     2     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 
                                   p 
                                   2 
                                 
                                 , 
                                 
                                   p 
                                   3 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 1 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                                
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 25 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, . . . , 7 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 
                                   p 
                                   2 
                                 
                                 , 
                                 
                                   p 
                                   3 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                                
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 26 
               
             
            
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, . . . , 7 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 
                                   p 
                                   2 
                                 
                                 , 
                                 
                                   p 
                                   3 
                                 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                                
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 27 
               
             
            
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,1   
                 i 1,4,2   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, . . . , 7 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4,1     ,i     1,4,2     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               
                                 p 
                                 2 
                               
                               , 
                               
                                 p 
                                 3 
                               
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 4 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     
                                       l 
                                       ′ 
                                     
                                     , 
                                     
                                       m 
                                       ′ 
                                     
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     
                                       l 
                                       ′ 
                                     
                                     , 
                                     
                                       m 
                                       ′ 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       n 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       n 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     a 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                   ⁢ 
                                   
                                     b 
                                     
                                       n 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                                
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In another alternative, for Codebook-Config=2, and N g =2, p 2  and p 3  are reported jointly using i 1,4 , and instead of joint reporting of n 1 , n 2 , and n 3  using i 2 , CSI is reported separately using indices (i 2,1 , i 2,2 , i 2,3 ) or (i 2 , i 3 , i 4 ) for (n 1 , n 2 , n 3 ). The codebook tables for 1-4 layers are shown in TABLE 28-31. 
     
       
         
           
               
             
               
                 TABLE 28 
               
             
            
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2,1   
                 i 2,2   
                 i 2,3   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, 1, 2, 3 
                 0, 1 
                 0, 1 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2,1     ,i     2,2     ,i     2,3     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 
                                   n 
                                   1 
                                 
                                 , 
                                 
                                   n 
                                   2 
                                 
                                 , 
                                 
                                   n 
                                   3 
                                 
                               
                               
                                 ( 
                                 1 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 29 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2,1   
                 i 2,2   
                 i 2,3   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, 1 
                 0, 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2,1     ,i     2,2     ,i     2,3     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 
                                   n 
                                   1 
                                 
                                 , 
                                 
                                   n 
                                   2 
                                 
                                 , 
                                 
                                   n 
                                   3 
                                 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 30 
               
             
            
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2,1   
                 i 2,2   
                 i 2,3   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, 1 
                 0, 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2,1     ,i     2,2     ,i     2,3     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 
                                   n 
                                   1 
                                 
                                 , 
                                 
                                   n 
                                   2 
                                 
                                 , 
                                 
                                   n 
                                   3 
                                 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 31 
               
             
            
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2,1   
                 i 2,2   
                 i 2,3   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, 1 
                 0, 1 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2,1     ,i     2,2     ,i     2,3     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       
                                         n 
                                         1 
                                       
                                       , 
                                       
                                         n 
                                         2 
                                       
                                       , 
                                       
                                         n 
                                         3 
                                       
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         4 
                                         ⁢ 
                                         
                                           P 
                                           
                                             CSI 
                                             ⁢ 
                                             ‐ 
                                             ⁢ 
                                             RS 
                                           
                                         
                                       
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               n 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               n 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 n 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 n 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               a 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               a 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 ; 
                                 
                                   
                                     p 
                                     2 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       4 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     3 
                                   
                                   = 
                                   p 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In another alternative, for Codebook-Config=2, and N g =2, codebook tables for 1-4 layers are shown in TABLES 32-35. 
     
       
         
           
               
             
               
                 TABLE 32 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 0 
                 1 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,0,0,0   (1)   
                 W i     1,1     ,i     1,2     ,i     1,4     ,0,0,1   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 2 
                 3 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,0,1,0   (1)   
                 W i     1,1     ,i     1,2     ,i     1,4     ,0,1,1   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 4 
                 5 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,1,0,0   (1)   
                 W i     1,1     ,i     1,2     ,i     1,4     ,1,0,1   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 6 
                 7 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,1,1,0   (1)   
                 W i     1,1     ,i     1,2     ,i     1,4     ,1,1,1   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 8 
                 9 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,2,0,0   (1)   
                 W i     1,1     ,i     1,2     ,i     1,4     ,2,0,1   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 10 
                 11 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,2,1,0   (1)   
                 W i     1,1     ,i     1,2     ,i     1,4     ,2,1,1   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 12 
                 13 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,3,0,0   (1)   
                 W i     1,1     ,i     1,2     ,i     1,4     ,3,0,1   (1)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 14 
                 15 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,2     ,i     1,4     ,3,1,0   (1)   
                 W i     1,1     ,i     1,2     ,i     1,4     ,3,1,1   (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 
                                   n 
                                   1 
                                 
                                 , 
                                 
                                   n 
                                   2 
                                 
                                 , 
                                 
                                   n 
                                   3 
                                 
                               
                               
                                 ( 
                                 1 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 33 
               
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 0 
                 1 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,0,0   (2)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,0,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 2 
                 3 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,1,0   (2)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,1,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 4 
                 5 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,0,0   (2)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,0,1   (2)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 6 
                 7 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,1,0   (2)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,1,1   (2)   
               
               
                   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 
                                   n 
                                   1 
                                 
                                 , 
                                 
                                   n 
                                   2 
                                 
                                 , 
                                 
                                   n 
                                   3 
                                 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 34 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 0 
                 1 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,0,0   (3)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,0,1   (3)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 2 
                 3 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,1,0   (3)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,1,1   (3)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 4 
                 5 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,0,0   (3)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,0,1   (3)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 6 
                 7 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,1,0   (3)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,1,1   (3)   
               
               
                   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 
                                   n 
                                   1 
                                 
                                 , 
                                 
                                   n 
                                   2 
                                 
                                 , 
                                 
                                   n 
                                   3 
                                 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 35 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 2 
               
               
                   
               
             
            
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 0 
                 1 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,0,0   (4)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,0,1   (4)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 2 
                 3 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,1,0   (4)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,0,1,1   (4)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 4 
                 5 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,0,0   (4)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,0,1   (4)   
               
               
                   
               
            
           
           
               
               
               
               
            
               
                   
                   
                   
                 i 2   
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 6 
                 7 
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,1,0   (4)   
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,1,1,1   (4)   
               
               
                   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       m 
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       
                                         n 
                                         1 
                                       
                                       , 
                                       
                                         n 
                                         2 
                                       
                                       , 
                                       
                                         n 
                                         3 
                                       
                                     
                                     
                                       ( 
                                       4 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       
                                         4 
                                         ⁢ 
                                         
                                           P 
                                           
                                             CSI 
                                             ⁢ 
                                             ‐ 
                                             ⁢ 
                                             RS 
                                           
                                         
                                       
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             l 
                                             , 
                                             m 
                                           
                                         
                                       
                                       
                                         
                                           v 
                                           
                                             
                                               l 
                                               ′ 
                                             
                                             , 
                                             
                                               m 
                                               ′ 
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             φ 
                                             
                                               n 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             φ 
                                             
                                               n 
                                               1 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 n 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               φ 
                                               
                                                 n 
                                                 1 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               2 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                     
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             a 
                                             
                                               p 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               a 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               l 
                                               , 
                                               m 
                                             
                                           
                                         
                                       
                                       
                                         
                                           
                                             - 
                                             
                                               a 
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                           ⁢ 
                                           
                                             b 
                                             
                                               n 
                                               3 
                                             
                                           
                                           ⁢ 
                                           
                                             v 
                                             
                                               
                                                 l 
                                                 ′ 
                                               
                                               , 
                                               
                                                 m 
                                                 ′ 
                                               
                                             
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 ; 
                                 
                                   
                                     p 
                                     2 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       p 
                                       4 
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     p 
                                     3 
                                   
                                   = 
                                   p 
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment 12C, for Codebook-Config=1 and N g =2, the pre-coding vector/matrix for 1-4 layer CSI reporting is given by one of the following alternative equations. In one example of 1-layer, equation 1: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 1 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     P 
                     
                       CSI 
                       - 
                       RS 
                     
                   
                 
               
               [ 
               
                 
                   
                     
                       v 
                       
                         l 
                         , 
                         m 
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         
                           
                             
                               n 
                               x 
                             
                             ⁢ 
                             l 
                           
                           , 
                           m 
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     and equation 2: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 1 
                 ) 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           - 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             m 
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             p 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 where 
                 ⁢ 
                 
                     
                      
                 
                 ⁢ 
                 
                   x 
                   
                     l 
                     , 
                     m 
                     , 
                     n 
                   
                 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 . 
               
             
           
         
       
     
     In one example of 2-layer, equation 1: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 2 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     2 
                     ⁢ 
                     
                       P 
                       
                         CSI 
                         - 
                         RS 
                       
                     
                   
                 
               
               [ 
               
                 
                   
                     
                       v 
                       
                         l 
                         , 
                         m 
                       
                     
                   
                   
                     
                       v 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         - 
                         
                           φ 
                           n 
                         
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         - 
                         
                           φ 
                           p 
                         
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     and equation 2: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 2 
                 ) 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         2 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             p 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 where 
                 ⁢ 
                     
                 
                   x 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     n 
                   
                 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 . 
               
             
           
         
       
     
     In one example of 3-layer, equation 1: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 2 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     3 
                     ⁢ 
                     
                       P 
                       
                         CSI 
                         - 
                         RS 
                       
                     
                   
                 
               
               [ 
               
                 
                   
                     
                       v 
                       
                         l 
                         , 
                         m 
                       
                     
                   
                   
                     
                       v 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                       
                     
                   
                   
                     
                       v 
                       
                         l 
                         , 
                         m 
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                   
                     
                       
                         - 
                         
                           φ 
                           n 
                         
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     and equation 2: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         3 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             p 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                 where 
                 ⁢ 
                     
                 
                   x 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     n 
                   
                 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 . 
               
             
           
         
       
     
     In one example of 4-layer, equation 1: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 4 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     4 
                     ⁢ 
                     
                       P 
                       
                         CSI 
                         - 
                         RS 
                       
                     
                   
                 
               
               [ 
               
                 
                   
                     
                       v 
                       
                         l 
                         , 
                         m 
                       
                     
                   
                   
                     
                       v 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                       
                     
                   
                   
                     
                       v 
                       
                         l 
                         , 
                         m 
                       
                     
                   
                   
                     
                       v 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                   
                     
                       - 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       - 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                   
                     
                       - 
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       - 
                       
                         φ 
                         p 
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     and equation 2: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 4 
                 ) 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         4 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             p 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                 where 
                 ⁢ 
                     
                 
                   x 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     n 
                   
                 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         
                           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 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 . 
               
             
           
         
       
     
     In one embodiment 12D, for Codebook-Config=1 and N g =4, the pre-coding vector/matrix for 1-4 layer CSI reporting is given by one of the following alternative equations. 
     In one example of 1-layer, equation 1: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 1 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   
                     P 
                     
                       CSI 
                       - 
                       RS 
                     
                   
                 
               
               [ 
               
                 
                   
                     
                       v 
                       
                         l 
                         , 
                         m 
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         
                           p 
                           1 
                         
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         
                           p 
                           2 
                         
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         
                           p 
                           3 
                         
                       
                       ⁢ 
                       
                         x 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         
                           p 
                           1 
                         
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         
                           p 
                           2 
                         
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
                 
                   
                     
                       
                         φ 
                         
                           p 
                           3 
                         
                       
                       ⁢ 
                       
                         φ 
                         n 
                       
                       ⁢ 
                       
                         x 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     and equation 2: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     1 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           - 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             m 
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
               
                 
                   p 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     16 
                   
                   ⌋ 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 
                   
                     p 
                     ⁢ 
                         
                     where 
                     ⁢ 
                         
                     
                       x 
                       
                         l 
                         , 
                         m 
                         , 
                         n 
                       
                     
                   
                   = 
                   
                     
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     . 
                   
                 
               
             
           
         
       
     
     In one example of 2-layer, equation 1: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     2 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         2 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     16 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 p 
               
             
           
         
       
     
     and equation 2: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     2 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         2 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
               
                 
                   p 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     16 
                   
                   ⌋ 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 
                   
                     p 
                     ⁢ 
                         
                     where 
                     ⁢ 
                         
                     
                       x 
                       
                         l 
                         , 
                         
                           l 
                           ′ 
                         
                         , 
                         m 
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         n 
                       
                     
                   
                   = 
                   
                     
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                           
                             
                               v 
                               
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   
                                     l 
                                     ′ 
                                   
                                   , 
                                   
                                     m 
                                     ′ 
                                   
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     . 
                   
                 
               
             
           
         
       
     
     In one example of 3-layer, equation 1: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     3 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         3 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     16 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 p 
               
             
           
         
       
     
     and equation 2: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     3 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         3 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     16 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 
                   p 
                   ⁢ 
                       
                   where 
                 
               
             
           
         
       
       
         
           
             
               x 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 n 
               
             
             = 
             
               
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                     
                       
                         v 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                         
                       
                     
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                     
                     
                       
                         - 
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
               . 
             
           
         
       
     
     In one example of 4-layer, equation 1: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     4 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         4 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     16 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 p 
               
             
           
         
       
     
     and equation 2: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     4 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         4 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             
                               l 
                               ′ 
                             
                             , 
                             m 
                             , 
                             
                               m 
                               ′ 
                             
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     16 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 
                   p 
                   ⁢ 
                       
                   where 
                 
               
             
           
         
       
       
         
           
             
               x 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 n 
               
             
             = 
             
               
                 [ 
                 
                   
                     
                       
                         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 
                               ′ 
                             
                           
                         
                       
                     
                   
                 
                 ] 
               
               . 
             
           
         
       
     
     In one embodiment 12E, for Codebook-Config=2 and N g =2, the pre-coding vector/matrix for 1-4 layer CSI reporting is given by one of the following alternative equations: 1-layer: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     1 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           - 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           x 
                           
                             l 
                             , 
                             m 
                             , 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             x 
                             
                               l 
                               , 
                               m 
                               , 
                               n 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   3 
                 
                 = 
                 p 
               
               ; 
               
                 
                   n 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     n 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   n 
                   2 
                 
                 = 
                 
                   
                     ⌊ 
                     
                       n 
                       2 
                     
                     ⌋ 
                   
                   ⁢ 
                   mod 
                   ⁢ 
                   2 
                 
               
               ; 
               
                 
                   n 
                   3 
                 
                 = 
                 
                   n 
                   ⁢ 
                   mod 
                   ⁢ 
                   2 
                 
               
               ; 
             
           
         
       
     
     2-layer: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     2 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         2 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 p 
               
               ; 
             
           
         
       
     
     3-layer: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     3 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         3 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 p 
               
               ; 
             
           
         
       
       
         
           
             
               
                 n 
                 1 
               
               = 
               
                 ⌊ 
                 
                   n 
                   4 
                 
                 ⌋ 
               
             
             ; 
             
               
                 n 
                 2 
               
               = 
               
                 
                   ⌊ 
                   
                     n 
                     2 
                   
                   ⌋ 
                 
                 ⁢ 
                 mod 
                 ⁢ 
                 2 
               
             
             ; 
             
               
                 n 
                 3 
               
               = 
               
                 
                   n 
                   ⁢ 
                   mod 
                   ⁢ 
                   2 
                 
                 ;; 
               
             
           
         
       
     
     and 4-layer: 
     
       
         
           
             
               
                 
                   W 
                   
                     l 
                     , 
                     
                       l 
                       ′ 
                     
                     , 
                     m 
                     , 
                     
                       m 
                       ′ 
                     
                     , 
                     p 
                     , 
                     n 
                   
                   
                     ( 
                     4 
                     ) 
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         4 
                         ⁢ 
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                       
                         
                           v 
                           
                             
                               l 
                               ′ 
                             
                             , 
                             
                               m 
                               ′ 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             φ 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               
                                 l 
                                 ′ 
                               
                               , 
                               
                                 m 
                                 ′ 
                               
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 
                   p 
                   2 
                 
                 = 
                 
                   ⌊ 
                   
                     p 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   p 
                   3 
                 
                 = 
                 p 
               
               ; 
             
           
         
       
       
         
           
             
               
                 
                   n 
                   1 
                 
                 = 
                 
                   ⌊ 
                   
                     n 
                     4 
                   
                   ⌋ 
                 
               
               ; 
               
                 
                   n 
                   2 
                 
                 = 
                 
                   
                     ⌊ 
                     
                       n 
                       2 
                     
                     ⌋ 
                   
                   ⁢ 
                   mod 
                   ⁢ 
                   2 
                 
               
               ; 
               
                 
                   n 
                   3 
                 
                 = 
                 
                   n 
                   ⁢ 
                   mod 
                   ⁢ 
                   2 
                 
               
               ; 
             
             . 
           
         
       
     
     In one embodiment 12F, the four codebook indices i 1,1 , i 1,2  i 1,3  and i 2  for 1-layer CSI reporting are reported as two PMIs: the first PMI i 1  comprising three components, i.e., i 1 =(i 1,1 , i 1,2 , i 1,4 ); and the second PMI i 2 . 
     Similarly, the five codebook indices i 1,1 , i 1,2 , i 1,3 , i 1,4 , and i 2  for 2, 3, or 4-layer CSI reporting are reported as two PMIs: the first PMI i 1  comprising four components, i.e., i 1 =(i 1,1 , i 1,2 , i 1,3 , i 1,4 ); and the second PMI i 2 . 
     In one embodiment 12G, the codebook index i 1,4  is reported as a separate (third) PMI i 3  for inter-panel co-phase. The 1-layer CSI is reported as three PMIs: the first PMI i 1  comprising two components, i.e., i 1 =(i 1,1 , i 1,2 ); the second PMI i 2 ; and the third PMI i 3 =i 1,4 . 
     Similarly, the 2, 3, or 4-layer CSI is reported as three PMIs: the first PMI i 1  comprising three components, i.e., i 1 =(i 1,1 , i 1,2 , i 1,3 ); the second PMI i 2 ; and the third PMI i 3 =i 1,4 . 
     For Codebook-Config=1, the inter-panel co-phase φ p , for N g =2 and (φ p     1   , φ p     2   , φ p     3   ) for N g =4 is reported using the third PMI i 3  in a WB manner. For Codebook-Config=2, the inter-panel co-phase has two components: (φ p     2   , φ p     3   ) reported in WB manner and (φ n     2   , φ n     3   ) reported in a SB manner. The WB and SB components are reported according to at least one of the following alternatives. In one example of Alt 12G-0, the third PMI has two components, i.e., i 3 =(i 3,1 , i 3,2 ), where the component i 3,1  is reported in a WB manner to indicate (φ p     2   , φ p     3   ) and the component i 3,2  is reported in a SB manner to indicate (φ n     2   , φ n     3   ). 
     In one example of Alt 12G-1, the third PMI i 3  indicates the WB component (φ p     2   , φ p     3   ), and the SB component (φ n     2   , φ n     3   ) is reported using the second PMI i 2 . In one example of Alt 2, the third PMI i 3  indicates the WB component (φ p     2   , φ p     3   ), and the SB component (φ n     2   , φ n     3   ) is reported using a separate fourth PMI i 4 . In one example of Alt 12G-3, the third PMI i 3  indicates the WB component (φ p     2   , φ p     3   ), and the SB component (φ n     2   , φ n     3   ) is reported using the second component i 2,2  of the second PMI i 2 =(i 2,1 , i 2,2 ), where the first component i 2,1  indicates the SB co-phase φ n     1   . 
     In one embodiment 12H, the codebook indices i 1,3  and i 1,4  in the codebook tables in the present disclosure are swapped. That is, i 1,4  indicates the mapping to k 1  and k 2  in TABLE 6 and TABLE 7, and i 1,3  indicates the WB inter-panel co-phase: φ p  for Codebook-Config=1, N g =2; (φ p     1   , φ p     2   , φ p     3   ) for Codebook-Config=1, N g =4; and (φ p     2   , φ p     3   ) for Codebook-Config=2, N g =2. 
     In one embodiment 12I, the codebook table for Codebook-Config=2, N g =4 is given by TABLES 36-39. 
     
       
         
           
               
             
               
                 TABLE 36 
               
             
            
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 4095 
                 0, . . . , 255 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2     (1)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 1 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 1 
                                 ⁢ 
                                 0 
                                 ⁢ 
                                 2 
                                 ⁢ 
                                 4 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 2 
                                 ⁢ 
                                 5 
                                 ⁢ 
                                 6 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             4 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 6 
                                 ⁢ 
                                 4 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             5 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 1 
                                 ⁢ 
                                 6 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             6 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             7 
                           
                           = 
                           p 
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   
                                     n 
                                     1 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       n 
                                       
                                         6 
                                         ⁢ 
                                         4 
                                       
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     2 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         
                                           3 
                                           ⁢ 
                                           2 
                                         
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                        
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     3 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         
                                           1 
                                           ⁢ 
                                           6 
                                         
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     n 
                                     4 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         8 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     5 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         4 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     6 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         2 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     7 
                                   
                                   = 
                                   
                                     n 
                                     ⁢ 
                                        
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 37 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 4095 
                 0, . . . , 127 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           5 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           7 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 1 
                                 ⁢ 
                                 0 
                                 ⁢ 
                                 2 
                                 ⁢ 
                                 4 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 2 
                                 ⁢ 
                                 5 
                                 ⁢ 
                                 6 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             4 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 6 
                                 ⁢ 
                                 4 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             5 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 1 
                                 ⁢ 
                                 6 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             6 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             7 
                           
                           = 
                           p 
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   
                                     n 
                                     1 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       n 
                                       
                                         6 
                                         ⁢ 
                                         4 
                                       
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     2 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         
                                           3 
                                           ⁢ 
                                           2 
                                         
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                        
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     3 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         
                                           1 
                                           ⁢ 
                                           6 
                                         
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     n 
                                     4 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         8 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     5 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         4 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     6 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         2 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     7 
                                   
                                   = 
                                   
                                     n 
                                     ⁢ 
                                        
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 38 
               
             
            
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 4095 
                 0, . . . , 127 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 3 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   3 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           5 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           7 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 1 
                                 ⁢ 
                                 0 
                                 ⁢ 
                                 2 
                                 ⁢ 
                                 4 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 2 
                                 ⁢ 
                                 5 
                                 ⁢ 
                                 6 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             4 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 6 
                                 ⁢ 
                                 4 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             5 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 1 
                                 ⁢ 
                                 6 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             6 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             7 
                           
                           = 
                           p 
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   
                                     n 
                                     1 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       n 
                                       
                                         6 
                                         ⁢ 
                                         4 
                                       
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     2 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         
                                           3 
                                           ⁢ 
                                           2 
                                         
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                        
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     3 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         
                                           1 
                                           ⁢ 
                                           6 
                                         
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     n 
                                     4 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         8 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     5 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         4 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     6 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         2 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     7 
                                   
                                   = 
                                   
                                     n 
                                     ⁢ 
                                        
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 39 
               
             
            
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 Codebook-Config = 2, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 4095 
                 0, . . . , 127 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 
                                   l 
                                   ′ 
                                 
                                 , 
                                 m 
                                 , 
                                 
                                   m 
                                   ′ 
                                 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 4 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   4 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         4 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           5 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           5 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         5 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         6 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           7 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           7 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         7 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         
                                           l 
                                           ′ 
                                         
                                         , 
                                         
                                           m 
                                           ′ 
                                         
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 1 
                                 ⁢ 
                                 0 
                                 ⁢ 
                                 2 
                                 ⁢ 
                                 4 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 2 
                                 ⁢ 
                                 5 
                                 ⁢ 
                                 6 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             4 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 6 
                                 ⁢ 
                                 4 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             5 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               
                                 1 
                                 ⁢ 
                                 6 
                               
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             6 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             7 
                           
                           = 
                           p 
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   
                                     n 
                                     1 
                                   
                                   = 
                                   
                                     ⌊ 
                                     
                                       n 
                                       
                                         6 
                                         ⁢ 
                                         4 
                                       
                                     
                                     ⌋ 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     2 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         
                                           3 
                                           ⁢ 
                                           2 
                                         
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                        
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     3 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         
                                           1 
                                           ⁢ 
                                           6 
                                         
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     n 
                                     4 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         8 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     5 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         4 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     6 
                                   
                                   = 
                                   
                                     
                                       ⌊ 
                                       
                                         n 
                                         2 
                                       
                                       ⌋ 
                                     
                                     ⁢ 
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                                 
                                   
                                     n 
                                     7 
                                   
                                   = 
                                   
                                     n 
                                     ⁢ 
                                        
                                     mod 
                                     ⁢ 
                                       
                                     2 
                                   
                                 
                                 ; 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment 12J, an alternative 2-layer (rank 2) codebook comprises of precoding matrices such that the DFT beams for the two layers are the same, i.e., l=l′,m=m′. In this case, when the number of layers v=2, each PMI value corresponds to four codebook indices i 1,1 , i 1,2 , i 1,4 , i 2 , similar to the case of v=1. There is no need to have the codebook index i 1,3  to k 1  and k 2  mapping such as TABLE 6 for 2-layer reporting. The 2-layer codebook table is given by TABLE 40. 
     
       
         
           
               
             
               
                 TABLE 40 
               
             
            
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4   
                 i 2   
                   
               
               
                   
               
            
           
           
               
            
               
                 Codebook-Config = 1, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 3 
                 0, 1 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               m 
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 2 
                                 ⁢ 
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       n 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     p 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       p 
                                     
                                   
                                   ⁢ 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 1, N g  = 4 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 63 
                 0, 1 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       n 
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               16 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           
                             p 
                             . 
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Codebook-Config = 2, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, . . . , 15 
                 0, . . . , 7 
                 W i     1,1     ,i     1,2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           
                             where 
                             ⁢ 
                                 
                             
                               W 
                               
                                 l 
                                 , 
                                 m 
                                 , 
                                 p 
                                 , 
                                 n 
                               
                               
                                 ( 
                                 2 
                                 ) 
                               
                             
                           
                           = 
                           
                             
                               1 
                               
                                 
                                   2 
                                   ⁢ 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                                 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       φ 
                                       
                                         n 
                                         1 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           n 
                                           1 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         2 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       a 
                                       
                                         p 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         a 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                     ⁢ 
                                     
                                       b 
                                       
                                         n 
                                         3 
                                       
                                     
                                     ⁢ 
                                     
                                       v 
                                       
                                         l 
                                         , 
                                         m 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         ; 
                         
                           
                             p 
                             2 
                           
                           = 
                           
                             ⌊ 
                             
                               p 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             p 
                             3 
                           
                           = 
                           p 
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
               
                 
                   
                     
                       
                         
                           
                             n 
                             1 
                           
                           = 
                           
                             ⌊ 
                             
                               n 
                               4 
                             
                             ⌋ 
                           
                         
                         ; 
                         
                           
                             n 
                             2 
                           
                           = 
                           
                             
                               ⌊ 
                               
                                 n 
                                 2 
                               
                               ⌋ 
                             
                             ⁢ 
                             mod 
                             ⁢ 
                                
                             2 
                           
                         
                         ; 
                         
                           
                             n 
                             3 
                           
                           = 
                           
                             n 
                             ⁢ 
                               
                             mod 
                             ⁢ 
                               
                             2 
                           
                         
                         ; 
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment 12K, the higher layer codebook configuration parameter Codebook-Config in codebook tables in the present disclosure is referred to as Codebook-Mode or Mode. For example, Codebook-Config=1 and Codebook-Config=2 respectively are mapped to Mode1 and Mode2. 
     In one embodiment 13, a UE is configured with a PMI codebook for multi panels (N g =M&gt;1) as follows. 
     For 8 antenna ports (e.g. {15, 16, . . . , 22}), 16 antenna ports (e.g. {15, 16, . . . , 30}), 32 antenna ports (e.g. {15, 16, . . . , 46}), and the UE configured with higher layer (e.g. RRC) parameter MultiPanelCodebook set to Mode1 or Mode2, each PMI value corresponds to the codebook indices i 1  and i 2 , where i 1  is the vector given by: 
     
       
         
           
             
               i 
               1 
             
             = 
             
               { 
               
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   
                     
                       v 
                       = 
                       1 
                     
                   
                 
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   
                     
                       v 
                       ∈ 
                       
                         { 
                         
                           2 
                           , 
                           3 
                           , 
                           4 
                         
                         } 
                       
                     
                   
                 
               
             
           
         
       
     
     and v is the associated RI value. 
     The values of N g , N 1 , and N 2  are configured with the higher-layer parameters CodebookConfig-Ng, CodebookConfig-N1 and CodebookConfig-N2, respectively. The supported configurations of (N g , N 1 , N 2 ) for a given number of CSI-RS ports and the corresponding values of (O 1 , O 2 ) are given in TABLE 41. The number of CSI-RS ports, P CSI-RS  is 2N g N 1 N 2 . A UE may only use i 1,2 =0 and may not report i 1,2  if the value of CodebookConfig-N2 is set to 1. 
     
       
         
           
               
             
               
                 TABLE 41 
               
             
            
               
                   
               
               
                 Supported configurations of (N g , N 1 , N 2 ) and (O 1 , O 2 ) 
               
            
           
           
               
               
               
               
            
               
                 Number of CSI-RS 
                   
                   
                   
               
               
                 antenna ports, P CSI-RS   
                 (N g , N 1 , N 2 ) 
                 (O 1 , O 2 ) 
                 MultiPanelCodebook 
               
               
                   
               
            
           
           
               
               
               
               
            
               
                 8 
                 (2, 2, 1) 
                 (4, 1) 
                 Mode1, Mode2 
               
               
                 16 
                 (2, 4, 1) 
                 (4, 1) 
                 Mode1, Mode2 
               
               
                   
                 (4, 2, 1) 
                 (4, 1) 
                 Mode1 
               
               
                   
                 (2, 2, 2) 
                 (4, 4) 
                 Mode1, Mode2 
               
               
                 32 
                 (2, 8, 1) 
                 (4, 1) 
                 Mode1, Mode2 
               
               
                   
                 (4, 4, 1) 
                 (4, 1) 
                 Mode1 
               
               
                   
                 (2, 4, 2) 
                 (4, 4) 
                 Mode1, Mode2 
               
               
                   
                 (4, 2, 2) 
                 (4, 4) 
                 Mode1 
               
               
                   
               
            
           
         
       
     
     The mapping from i 1,3  to k 1  and k 2  for 2-layer reporting is given in TABLE 6. The mapping from i 1,3  to k 1  and k 2  for 3-layer and 4-layer reporting is given in TABLE 7. When MultiPanelCodebook is set to Mode1, i 1,4  is given by: 
     
       
         
           
             
               i 
               
                 1 
                 , 
                 4 
               
             
             = 
             
               { 
               
                 
                   
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         2 
                       
                     
                   
                   
                     
                       
                         [ 
                         
                           
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   1 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   2 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   3 
                                 
                               
                             
                           
                         
                         ] 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         4 
                       
                     
                   
                 
                 . 
               
             
           
         
       
     
     When MultiPanelCodebook is set to Mode2 (where N g =2), i 1,4  and i 2  are 
     
       
         
           
             
               
                 i 
                 
                   1 
                   , 
                   4 
                 
               
               = 
               
                 [ 
                 
                   
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                           , 
                           2 
                         
                       
                     
                   
                 
                 ] 
               
             
             ⁢ 
             
 
             
               
                 i 
                 2 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         
                           i 
                           
                             2 
                             , 
                             0 
                           
                         
                       
                       
                         
                           i 
                           
                             2 
                             , 
                             1 
                             , 
                             1 
                           
                         
                       
                       
                         
                           i 
                           
                             2 
                             , 
                             1 
                             , 
                             2 
                           
                         
                       
                     
                   
                   ] 
                 
                 . 
               
             
           
         
       
     
     The quantities φ n , a p , b n , u m , and v l,m  are given by: 
     
       
         
           
             
               
                 φ 
                 n 
               
               = 
               
                 e 
                 
                   j 
                   ⁢ 
                   π 
                   ⁢ 
                   
                     n 
                     / 
                     2 
                   
                 
               
             
             ⁢ 
               
             
               
                 a 
                 p 
               
               = 
               
                 
                   e 
                   
                     j 
                     ⁢ 
                     
                       π 
                       / 
                       4 
                     
                   
                 
                 ⁢ 
                 
                   e 
                   
                     j 
                     ⁢ 
                     π 
                     ⁢ 
                     
                       p 
                       / 
                       2 
                     
                   
                 
               
             
             ⁢ 
               
             
               
                 b 
                 n 
               
               = 
               
                 
                   e 
                   
                     
                       - 
                       j 
                     
                     ⁢ 
                     
                       π 
                       / 
                       4 
                     
                   
                 
                 ⁢ 
                 
                   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 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                         
                         
                           
                             
                               N 
                               2 
                             
                             &gt; 
                             1 
                           
                         
                       
                       
                         
                           1 
                         
                         
                           
                             
                               N 
                               2 
                             
                             = 
                             1 
                           
                         
                       
                     
                     ⁢ 
                       
                     
                       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 
                     
                     . 
                   
                 
               
             
           
         
       
     
     Furthermore, the quantities W l,m,p,n   1,1,N     g    and W l,m,p,n   1,2,N     g    (N g ∈{2,4}) are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 1 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     1 
                     , 
                     2 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                       
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       1 
                       , 
                       1 
                       , 
                       4 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         2 
                         , 
                         4 
                       
                     
                   
                   = 
                   
                     
                       
                         
                           1 
                           
                             
                               P 
                               
                                 CSI 
                                 ⁢ 
                                 ‐ 
                                 ⁢ 
                                 RS 
                               
                             
                           
                         
                         [ 
                         
                           
                             
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                 
                                 ⁢ 
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   φ 
                                   
                                     p 
                                     1 
                                   
                                 
                                 ⁢ 
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                 
                                 ⁢ 
                                 
                                   φ 
                                   
                                     p 
                                     1 
                                   
                                 
                                 ⁢ 
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   φ 
                                   
                                     p 
                                     2 
                                   
                                 
                                 ⁢ 
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                 
                                 ⁢ 
                                 
                                   φ 
                                   
                                     p 
                                     2 
                                   
                                 
                                 ⁢ 
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   φ 
                                   
                                     p 
                                     3 
                                   
                                 
                                 ⁢ 
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                 
                                 ⁢ 
                                 
                                   φ 
                                   
                                     p 
                                     3 
                                   
                                 
                                 ⁢ 
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                           
                         
                         ] 
                       
                       ⁢ 
                            
                       where 
                       ⁢ 
                           
                       p 
                     
                     = 
                     
                       { 
                       
                         
                           
                             
                               
                                 p 
                                 1 
                               
                             
                             
                               
                                 
                                   N 
                                   g 
                                 
                                 = 
                                 2 
                               
                             
                           
                           
                             
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         p 
                                         1 
                                       
                                     
                                     
                                       
                                         p 
                                         2 
                                       
                                     
                                     
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                             
                               
                                 
                                   N 
                                   g 
                                 
                                 = 
                                 4 
                               
                             
                           
                         
                           
                         , 
                       
                     
                   
                 
               
             
           
         
       
     
     and the quantities W l,m,p,n   2,1,N     g    and W l,m,p,n   2,2,N     g    (N g =2) are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 2 
                 , 
                 1 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               a 
                               
                                 p 
                                 2 
                               
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 where 
                 ⁢ 
                     
                 
                   
                     
                       
                         
                           p 
                           = 
                           
                             [ 
                             
                               
                                 
                                   
                                     p 
                                     1 
                                   
                                 
                                 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                     
                       
                         
                           n 
                           = 
                           
                             [ 
                             
                               
                                 
                                   
                                     n 
                                     0 
                                   
                                 
                                 
                                   
                                     n 
                                     1 
                                   
                                 
                                 
                                   
                                     n 
                                     2 
                                   
                                 
                               
                             
                             ] 
                           
                         
                       
                     
                   
                   . 
                 
               
             
           
         
       
     
     The codebooks for 1-4 layers are given respectively in TABLES 42-45. 
     
       
         
           
               
             
               
                 TABLE 42 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Mode1, N  g ∈  (2, 4) 
               
            
           
           
               
               
               
               
               
            
               
                 i 1, 1   
                 i 1, 2   
                 i 1, 4, q , q = 1, . . . , N  g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 W i     1, 1     , i     1, 2     , i     1, 4     , i     2     (1)   
               
            
           
           
               
            
               
                 where W l, m, p, n   (1)  = W l, m, p, n   1, 1, N      g   . 
               
               
                   
               
               
                 Mode2, N g  = 2 
               
            
           
           
               
               
               
               
               
               
            
               
                 i 1, 1   
                 i 1, 2   
                 i 1, 4, q , q = 1, 2 
                 i 2, 0   
                 i 2, 1, q  , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1, 1     , i     1, 2     , i     1, 4     , i     2     (1)   
               
            
           
           
               
            
               
                 where W l, m, p, n   (1)  = W l, m, p, n   2,1,N      g   . 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 43 
               
               
                   
               
               
                 Codebook for 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Mode1, N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 2 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Mode2, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,0 , i 2,1,q , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 2 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 44 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Mode1, N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 3 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Mode2, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,0 , i 2,1,q , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 3 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 45 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Mode1, N g  ∈ {2, 4} 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 4 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Mode2, N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,0 , i 2,1,q , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 4 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment 13A, the 1-4 layer codebooks for Mode2 given respectively in TABLES 42-45 are also supported for N g =4, where i 1,4  and i 2  are replaced with the following: 
     
       
         
           
             
               i 
               
                 1 
                 , 
                 4 
               
             
             = 
             
               { 
               
                 
                   
                     
                       
                         
                           
                             [ 
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   1 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   2 
                                 
                               
                             
                             ] 
                           
                         
                         
                           
                             
                               N 
                               g 
                             
                             = 
                             2 
                           
                         
                       
                       
                         
                           
                             [ 
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   1 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   2 
                                 
                               
                               ⁢ 
                                   
                               
                                 
                                   i 
                                     
                                 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   3 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   4 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   5 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   6 
                                 
                               
                             
                             ] 
                           
                         
                         
                           
                             
                               N 
                               g 
                             
                             = 
                             4 
                           
                         
                       
                     
                     ⁢ 
                       
                     
                       i 
                       
                         1 
                         , 
                         4 
                         , 
                         q 
                       
                     
                   
                   ∈ 
                   
                     { 
                     
                       0 
                       , 
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                     } 
                   
                 
                 , 
                   
                 
                   q 
                   = 
                   1 
                 
                 , 
                    
                 … 
                     
                 , 
                   
                 
                   
                     2 
                     ⁢ 
                     
                       ( 
                       
                         
                           N 
                           g 
                         
                         - 
                         1 
                       
                       ) 
                     
                     ⁢ 
                       
                     
                       i 
                       2 
                     
                   
                   = 
                   
                     { 
                     
                       
                         
                           
                             
                               
                                 
                                   [ 
                                   
                                     
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             0 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                               
                               
                                 
                                   
                                     N 
                                     g 
                                   
                                   = 
                                   2 
                                 
                               
                             
                             
                               
                                 
                                   [ 
                                   
                                     
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             0 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             3 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             4 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             5 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             6 
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                               
                               
                                 
                                   
                                     N 
                                     g 
                                   
                                   = 
                                   4 
                                 
                               
                             
                           
                           ⁢ 
                             
                           
                             i 
                             
                               2 
                               , 
                               1 
                               , 
                               q 
                             
                           
                         
                         ∈ 
                         
                           { 
                           
                             0 
                             , 
                             1 
                           
                           } 
                         
                       
                       , 
                         
                       
                         q 
                         = 
                         1 
                       
                       , 
                          
                       … 
                           
                       , 
                         
                       
                         
                           2 
                           ⁢ 
                             
                           
                             ( 
                             
                               
                                 N 
                                 g 
                               
                               - 
                               1 
                             
                             ) 
                           
                         
                         ; 
                       
                     
                   
                 
               
             
           
         
       
     
     and the quantities W l,m,p,n   2,1,N     g    and W l,m,p,n   2,2,N     g    for N g =4 are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 2 
                 , 
                 1 
                 , 
                 4 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               4 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               4 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               5 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               5 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               6 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               6 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                     , 
                     4 
                   
                 
               
               = 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         ⁢ 
                         ‐ 
                         ⁢ 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               2 
                             
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             3 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             3 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               4 
                             
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             4 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             5 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             5 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               6 
                             
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             6 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
             
           
         
       
     
     In one embodiment 14, a UE is configured with a PMI codebook for multi panels (N g =M&gt;1) as follows. For 8 antenna ports (e.g. {15, 16, . . . , 22}), 16 antenna ports (e.g. {15, 16, . . . , 30}), 32 antenna ports (e.g. {15, 16, . . . , 46}), and the UE configured with higher layer parameter MultiPanelCodebook set to Mode1 or Mode2, where each PMI value corresponds to the codebook indices i 1  and i 2 , where i 1  is the vector given by: 
     
       
         
           
             
               i 
               1 
             
             = 
             
               { 
               
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   
                     
                       v 
                       = 
                       1 
                     
                   
                 
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   
                     
                       v 
                       ∈ 
                       
                         { 
                         
                           2 
                           , 
                           3 
                           , 
                           4 
                         
                         } 
                       
                     
                   
                 
               
             
           
         
       
     
     and v is the associated RI value. 
     The mapping from i 1,3  to k 1  and k 2  for 2-layer reporting is given in TABLE 6. The mapping from i 1,3  to k 1  and k 2  for 3-layer and 4-layer reporting is given in TABLE 7. The values of N g , N 1 , and N 2  are configured with the higher-layer parameters CodebookConfig-N g , CodebookConfig-N1 and CodebookConfig-N2, respectively. The supported configurations of (N g , N 1 , N 2 ) for a given number of CSI-RS ports and the corresponding values of (O 1 , O 2 ) are given in TABLE 41. The number of CSI-RS ports, P CSI-RS  is 2N g N 1 N 2 . A UE may only use i 1,2 =0 and may not report i 1,2  if the value of CodebookConfig-N2 is set to 1. 
     When MultiPanelCodebook is set to Mode1, i 1,4  is 
     
       
         
           
             
               i 
               
                 1 
                 , 
                 4 
               
             
             = 
             
               { 
               
                 
                   
                     
                       
                         
                           
                             [ 
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 1 
                               
                             
                             ] 
                           
                         
                         
                           
                             
                               N 
                               g 
                             
                             = 
                             2 
                           
                         
                       
                       
                         
                           
                             [ 
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   1 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   2 
                                 
                               
                               ⁢ 
                                   
                               
                                 
                                   i 
                                     
                                 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   3 
                                 
                               
                             
                             ] 
                           
                         
                         
                           
                             
                               N 
                               g 
                             
                             = 
                             4 
                           
                         
                       
                     
                     . 
                       
                     
                       i 
                       
                         1 
                         , 
                         4 
                         , 
                         q 
                       
                     
                   
                   ∈ 
                   
                     { 
                     
                       0 
                       , 
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                     } 
                   
                 
                 , 
                   
                 
                   q 
                   = 
                   1 
                 
                 , 
                   
                 2 
                 , 
                 
                   
                     3 
                     ⁢ 
                     
 
                     
                       φ 
                       n 
                     
                   
                   = 
                   
                     e 
                     
                       j 
                       ⁢ 
                       π 
                       ⁢ 
                       
                         n 
                         / 
                         2 
                       
                     
                   
                 
               
             
           
         
       
     
     The quantities φ n , u m , and v l,m , are given by: 
     
       
         
           
             
               u 
               m 
             
             = 
             
               { 
               
                 
                   
                     
                       
                         
                           [ 
                           
                             
                               
                                 1 
                                 ⁢ 
                                   
                                 
                                   e 
                                   
                                     j 
                                     ⁢ 
                                     
                                       
                                         2 
                                         ⁢ 
                                         π 
                                         ⁢ 
                                         m 
                                       
                                       
                                         
                                           O 
                                           2 
                                         
                                         ⁢ 
                                         
                                           N 
                                           2 
                                         
                                       
                                     
                                   
                                 
                               
                                 
                               ... 
                             
                             ⁢ 
                                  
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   
                                     2 
                                     ⁢ 
                                     π 
                                     ⁢ 
                                     
                                       m 
                                       ⁡ 
                                       ( 
                                       
                                         
                                           N 
                                           2 
                                         
                                         - 
                                         1 
                                       
                                       ) 
                                     
                                   
                                   
                                     
                                       O 
                                       2 
                                     
                                     ⁢ 
                                     
                                       N 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                       
                         
                           
                             N 
                             2 
                           
                           &gt; 
                           1 
                         
                       
                     
                     
                       
                         1 
                       
                       
                         
                           
                             N 
                             2 
                           
                           = 
                           1 
                         
                       
                     
                   
                   . 
                     
                   
                     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 
                 
               
             
           
         
       
     
     Furthermore, the quantities W l,m,p,n   1,N     g    and W l,m,p,n   2,N     g    (N g ∈{2, 4}) are given by: 
     
       
         
           
             
               
                 W 
                 
                   l 
                   , 
                   m 
                   , 
                   p 
                   , 
                   n 
                 
                 
                   1 
                   , 
                   2 
                 
               
               ⁢ 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         ⁢ 
                         ‐ 
                         ⁢ 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
               ⁢ 
                   
               
                 W 
                 
                   l 
                   , 
                   m 
                   , 
                   p 
                   , 
                   n 
                 
                 
                   2 
                   , 
                   2 
                 
               
               ⁢ 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         ⁢ 
                         ‐ 
                         ⁢ 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                         
                         ⁢ 
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
               ⁢ 
                   
               
                 W 
                 
                   l 
                   , 
                   m 
                   , 
                   p 
                   , 
                   n 
                 
                 
                   1 
                   , 
                   4 
                 
               
               ⁢ 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         ⁢ 
                         ‐ 
                         ⁢ 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             p 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           φ 
                           
                             p 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             p 
                             3 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           n 
                         
                         ⁢ 
                         
                           φ 
                           
                             p 
                             3 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
               ⁢ 
                   
               
                 W 
                 
                   l 
                   , 
                   m 
                   , 
                   p 
                   , 
                   n 
                 
                 
                   2 
                   , 
                   4 
                 
               
               ⁢ 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         ⁢ 
                         ‐ 
                         ⁢ 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                         
                         ⁢ 
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             p 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                         
                         ⁢ 
                         
                           φ 
                           
                             p 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             p 
                             3 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                         
                         ⁢ 
                         
                           φ 
                           
                             p 
                             3 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
               ⁢ 
                   
               where 
               ⁢ 
                   
               p 
             
             = 
             
               { 
               
                 
                   
                     
                       
                         p 
                         1 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         2 
                       
                     
                   
                   
                     
                       
                         [ 
                         
                           
                             
                               
                                 p 
                                 1 
                               
                             
                             
                               
                                 p 
                                 2 
                               
                             
                             
                               
                                 p 
                                 3 
                               
                             
                           
                         
                         ] 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         4 
                       
                     
                   
                 
                 . 
               
             
           
         
       
     
     The Mode1 codebooks for 1-4 layers are given respectively in TABLES 46-49. 
     
       
         
           
               
             
               
                 TABLE 46 
               
             
            
               
                   
               
               
                 Codebook for Model 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1, 1   
                 i 1, 2   
                 i 1, 4, q , q = 1, . . . , N  g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 W i     1, 1     , i     1, 2     , i     1, 4     , i     2     (1)   
               
            
           
           
               
            
               
                 where W l, m, p, n   (1)  = W l, m, p, n   1, N      s   . 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 47 
               
             
            
               
                   
               
               
                 Codebook for Mode1 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 2 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 48 
               
             
            
               
                   
               
               
                 Codebook for Mode1 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 3 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 49 
               
             
            
               
                   
               
               
                 Codebook for Mode1 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 4 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     When MultiPanelCodebook is set to Mode2 and N g =2, i 1,4  and i 2  are 
     
       
         
           
             
               
                 i 
                 
                   1 
                   , 
                   4 
                 
               
               = 
               
                 [ 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   ⁢ 
                        
                   
                     i 
                     
                       1 
                       , 
                       4 
                       , 
                       2 
                     
                   
                 
                 ] 
               
             
             ⁢ 
             
 
             
               
                 i 
                 2 
               
               = 
               
                 [ 
                 
                   
                     i 
                     
                       2 
                       , 
                       0 
                     
                   
                   ⁢ 
                        
                   
                     i 
                     
                       2 
                       , 
                       1 
                       , 
                       1 
                     
                   
                   ⁢ 
                        
                   
                     i 
                     
                       2 
                       , 
                       1 
                       , 
                       2 
                     
                   
                 
                 ] 
               
             
           
         
       
     
     The quantities a p  and b n  are given by: 
     
       
         
           
             
               
                 
                   
                     
                       a 
                       p 
                     
                     = 
                     
                       
                         e 
                         
                           j 
                           ⁢ 
                           
                             π 
                             / 
                             4 
                           
                         
                       
                       ⁢ 
                       
                         e 
                         
                           j 
                           ⁢ 
                           π 
                           ⁢ 
                           
                             p 
                             / 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       b 
                       n 
                     
                     = 
                     
                       
                         e 
                         
                           
                             - 
                             j 
                           
                           ⁢ 
                           
                             π 
                             / 
                             4 
                           
                         
                       
                       ⁢ 
                       
                         e 
                         
                           j 
                           ⁢ 
                           π 
                           ⁢ 
                           
                             n 
                             / 
                             2 
                           
                         
                       
                     
                   
                 
               
             
             . 
           
         
       
     
     Furthermore, the quantities W l,m,p,n   1,N     g    and W l,m,p,n   2,N     g    (N g =2) are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         ⁢ 
                         ‐ 
                         ⁢ 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               2 
                             
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
                   
             
           
         
       
     
     The Mode2 codebooks for 1-4 layers are given respectively in TABLES 50-53. 
     
       
         
           
               
             
               
                 TABLE 50 
               
             
            
               
                   
               
               
                 Codebook for Mode2 1-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 N  g  = 2 
               
            
           
           
               
               
               
               
               
               
            
               
                 i 1, 1   
                 i 1, 2   
                 i 1, 4, q , q = 1, 2 
                 i 2, 0   
                 i 2, 1, q , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1, 1     , i     1, 2     , i     1, 4     , i     2     (1)   
               
            
           
           
               
            
               
                 where W l, m, p, n   (1)  = W l, m, p, n   1, N      s   . 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 51 
               
             
            
               
                   
               
               
                 Codebook for Mode2 2-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,0 , i 2,1,q , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 2 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 52 
               
             
            
               
                   
               
               
                 Codebook for Mode2 3-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,0 , i 2,1,q , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 3 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 53 
               
             
            
               
                   
               
               
                 Codebook for Mode2 4-layer CSI reporting using antenna ports [15 to 14 + P CSI-RS ] 
               
               
                 N g  = 2 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,0 , i 2,1,q , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, . . . , N 1 O 1  − 1 
                 0, 1, . . . , N 2 O 2  − 1 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 4 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment 14A, the 1-4 layer codebooks for Mode2 given respectively in TABLES 50-53 are also supported for N g =4, where i 1,4  and i 2  are replaced with the following: 
     
       
         
           
             
               i 
               
                 1 
                 , 
                 4 
               
             
             = 
             
               { 
               
                 
                   
                     
                       
                         
                           
                             [ 
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   1 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   2 
                                 
                               
                             
                             ] 
                           
                         
                         
                           
                             
                               N 
                               g 
                             
                             = 
                             2 
                           
                         
                       
                       
                         
                           
                             [ 
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   1 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   2 
                                 
                               
                               ⁢ 
                                   
                               
                                 
                                   i 
                                     
                                 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   3 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   4 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   5 
                                 
                               
                               ⁢ 
                                   
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   6 
                                 
                               
                             
                             ] 
                           
                         
                         
                           
                             
                               N 
                               g 
                             
                             = 
                             4 
                           
                         
                       
                     
                     ⁢ 
                       
                     
                       i 
                       
                         1 
                         , 
                         4 
                         , 
                         q 
                       
                     
                   
                   ∈ 
                   
                     { 
                     
                       0 
                       , 
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                     } 
                   
                 
                 , 
                   
                 
                   q 
                   = 
                   1 
                 
                 , 
                    
                 … 
                     
                 , 
                   
                 
                   
                     2 
                     ⁢ 
                     
                       ( 
                       
                         
                           N 
                           g 
                         
                         - 
                         1 
                       
                       ) 
                     
                     ⁢ 
                       
                     
                       i 
                       2 
                     
                   
                   = 
                   
                     { 
                     
                       
                         
                           
                             
                               
                                 
                                   [ 
                                   
                                     
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             0 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                               
                               
                                 
                                   
                                     N 
                                     g 
                                   
                                   = 
                                   2 
                                 
                               
                             
                             
                               
                                 
                                   [ 
                                   
                                     
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             0 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             3 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             4 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             5 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             2 
                                             , 
                                             1 
                                             , 
                                             6 
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                               
                               
                                 
                                   
                                     N 
                                     g 
                                   
                                   = 
                                   4 
                                 
                               
                             
                           
                           ⁢ 
                             
                           
                             i 
                             
                               2 
                               , 
                               1 
                               , 
                               q 
                             
                           
                         
                         ∈ 
                         
                           { 
                           
                             0 
                             , 
                             1 
                           
                           } 
                         
                       
                       , 
                         
                       
                         q 
                         = 
                         1 
                       
                       , 
                          
                       … 
                           
                       , 
                         
                       
                         
                           2 
                           ⁢ 
                             
                           
                             ( 
                             
                               
                                 N 
                                 g 
                               
                               - 
                               1 
                             
                             ) 
                           
                         
                         ; 
                       
                     
                   
                 
               
             
           
         
       
     
     and the quantities W l,m,p,n   1,N     g    and W l,m,p,n   2,N     g    for N g =4 are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 2 
                 , 
                 1 
                 , 
                 4 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               4 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               4 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               5 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               5 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               6 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               6 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                     , 
                     4 
                   
                 
               
               = 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         ⁢ 
                         ‐ 
                         ⁢ 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               2 
                             
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             3 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             3 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               4 
                             
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             4 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             5 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             5 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           - 
                           
                             a 
                             
                               p 
                               6 
                             
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             6 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
             
           
         
       
     
       FIG.  13    illustrates an example multiple antenna panels with 2 ports per panel 1300 according to embodiments of the present disclosure. The embodiment of the multiple antenna panels with 2 ports per panel illustrated in  FIG.  13    is for illustration only.  FIG.  13    does not limit the scope of this disclosure to any particular implementation. 
     The present disclosure provides the CSI acquisition scheme for the antenna structure to which multiple antenna panels are applied, where each panel is a dual-polarized antenna ports with N 1 =1 and N 2 =1 ports in two dimensions, i.e., 2 ports per panel. As shown in  FIG.  13   , there are N g =2, 4 antenna panels with 2 ports per panel. 
     In one embodiment A1, a UE is configured with the PMI codebook with pre-coder W for (N g , N 1 , N 2 )∈{(2, 1, 1), (4,1,1)} antenna panels according to at least one of the following alternatives. In one example of Alt A1-0 (common intra-panel phase), W=c⊗d or d⊗c where c is an intra-panel phase vector (size 2×1), common for all panels, and d is an inter-panel phase vector (size N g ×1), where c⊗d denotes the Kronecker product of c and d which is defined as c⊗d=[c 0 d c 1 d] T  where d=[d 0 , d 1  . . . d N     g     −1 ]. If W=c⊗d, for N g =2, W=[c 0 d 0  c 0 d 1  c 1 d 0  c 1 d 1]   T . If one of c 0  and d 0  is fixed to 1, there may be one of the two alternate forms for W. In one instance, W=[d 0  d 1  c 1 d 0  c 1 d 1 ] T . In one instance, W=[c 0  c 0 d 1  c 1 c 1 d 1 ] T . If both c 0  and d 0  are fixed to 1, then W=[1 d 1  c 1  c 1 d 1 ] T . 
     If W=c⊗d,f or N g =4: W=[c 0 d 0  c 0 d 1  c 0 d 2  c 0 d 3  c 1 d 0  c 1 d 1  c 1 d 2  c 1 d 3 ] T ; since one of c 0  and d 0  can be fixed to 1, there may be one of the two alternate forms for W. In one instance, W=[d 0  d 1  d 2  d 3  c 1 d 0  c 1 d 1  c 1 d 2  c 1 d 3 ] T  In one instance, W=[c 0  c 0 d 1  c 0 d 2  c 0 d 3  c 1  c 1 d 1  c 1 d 2  c 1 d 3 ] T . If both c 0  and d 0  are fixed to 1, then W=[1 d 1  d 2  d 3  c 1  c 1 d 1  c 1 d 2  c 1 d 3 ] T . 
     If W=d⊗c, then, for N g =2: W=[c 0 d 0  c 1 d 0  c 0 d 1  c 1 d 1 ] T ; since one of c 0  and d 0  can be fixed to 1, there may be one of the two alternate forms for W. In one instance, W=[d 0  c 1  d 0  d 1  c 1 d 1 ] T . In one instance, W=[c 0  c 1  c 0 d 1  c 1 d 1 ] T . If W=d⊗c, then, for N g =4: W=[c 0 d 0  c 1 d 0  c 0 d 1  c 1 d 1  c 0 d 2  c 1 d 2  c 0 d 3  c 1 d 3 ] T ; since one of c 0  and d 0  can be fixed to 1, there may be one of the two alternate forms for W. In one instance, =[d 0  c 1 d 0  d 1  c 1 d 1  d 2  c 1 d 2  d 3  c 1 d 3 ] T . In one instance, W=[c 0  c 1  c 0  d 1  c 1 d 1  c 0  d 2  c 1 d 2  c 0 d 3  c 1 d 3 ] T . 
     In one example of Alt A1-1 (per panel phase): W=[1 c 1  c 2  c 3  . . . c 2N     g     −1 ] T , where {c i } are independent phase for N g  panels and 2 polarizations. For N g =2: W=[1 c 1  c 2  c 3 ] T . For N g =4: W=[1 c 1  c 2  c 3  C 4  C 5  c 6  c 7 ] T . 
     The codebook to report the pre-coder W is at least one of BPSK {1, −1} or QPSK {1,j, −1, −j} or two stage a WB b WB  where a WB  and a SB  codebooks are according to at least one of the following: a WB ={1,j, −1, −j}(2 bit WB phase) and a SB ={1,j}(1-bit SB phase); a WB ={1, j, −1, −j}(2 bit WB phase) and a SB ={1, −j}(1-bit SB phase); a WB ={1,j, −1, −j}(2 bit WB phase) and 
     
       
         
           
             
               
                 a 
                 
                   S 
                   ⁢ 
                   B 
                 
               
               = 
               
                 { 
                 
                   
                     e 
                     
                       - 
                       
                         
                           j 
                           ⁢ 
                           π 
                         
                         4 
                       
                     
                   
                   , 
                     
                   
                     e 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
               
             
             } 
           
         
       
     
     (1-bit SB phase); 
     
       
         
           
             
               a 
               WB 
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                          
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and 
     
       
         
           
             
               a 
               
                 S 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     - 
                     
                       
                         j 
                         ⁢ 
                         π 
                       
                       4 
                     
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (1-bit SB phase); 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit wB phase) and a SB ={1, −j}(1-bit SB phase); and 
     
       
         
           
             
               a 
               
                 W 
                 ⁢ 
                 B 
               
             
             = 
             
               { 
               
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       3 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       5 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
                 , 
                 
                   e 
                   
                     
                       j 
                       ⁢ 
                       7 
                       ⁢ 
                       π 
                     
                     4 
                   
                 
               
               } 
             
           
         
       
     
     (2 bit WB phase) and a SB ={1,j}(1-bit SB phase). 
     In one embodiment A2, the multi-panel codebook for (N g , N 1 , N 2 )∈{(2,1,1), (4,1,1)} is based on a modular approach where the multi-panel pre-coder vector/matrix W MP  is built from the single-panel pre-coder vector/matrix W SP  as follows. In one example of N g =2: Rank 1: W MP = 
     
       
         
           
             
               
                 [ 
                 
                   
                     
                       
                         W 
                         
                           S 
                           ⁢ 
                           P 
                         
                       
                     
                   
                   
                     
                       
                         
                           e 
                           
                             j 
                             ⁢ 
                             
                               α 
                               1 
                             
                           
                         
                         ⁢ 
                         
                           W 
                           
                             S 
                             ⁢ 
                             P 
                           
                         
                       
                     
                   
                 
                 ] 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         W 
                       
                     
                     
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 1 
                               
                             
                           
                           ⁢ 
                           W 
                         
                       
                     
                   
                   ] 
                 
                 = 
                 
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           e 
                           
                             j 
                             ⁢ 
                             β 
                           
                         
                       
                     
                     
                       
                         
                           e 
                           
                             j 
                             ⁢ 
                             
                               α 
                               1 
                             
                           
                         
                       
                     
                     
                       
                         
                           e 
                           
                             j 
                             ⁡ 
                             ( 
                             
                               
                                 α 
                                 1 
                               
                               + 
                               β 
                             
                             ) 
                           
                         
                       
                     
                   
                   ] 
                 
               
             
             ; 
           
         
       
     
     and Rank 2: 
     
       
         
           
             
               W 
               
                 M 
                 ⁢ 
                 P 
               
             
             = 
             
               
                 [ 
                 
                   
                     
                       
                         W 
                         
                           S 
                           ⁢ 
                           P 
                         
                       
                     
                   
                   
                     
                       
                         
                           e 
                           
                             j 
                             ⁢ 
                             
                               α 
                               1 
                             
                           
                         
                         ⁢ 
                         
                           W 
                           
                             S 
                             ⁢ 
                             P 
                           
                         
                       
                     
                   
                 
                 ] 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         W 
                       
                     
                     
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 1 
                               
                             
                           
                           ⁢ 
                           W 
                         
                       
                     
                   
                   ] 
                 
                 = 
                 
                   
                     
                       [ 
                     
                     
                       
                         
                           1 
                         
                         
                           1 
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               β 
                             
                           
                         
                         
                           
                             - 
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 β 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 1 
                               
                             
                           
                         
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁡ 
                               ( 
                               
                                 
                                   α 
                                   1 
                                 
                                 + 
                                 β 
                               
                               ) 
                             
                           
                         
                         
                           
                             - 
                             
                               e 
                               
                                 j 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     α 
                                     1 
                                   
                                   + 
                                   β 
                                 
                                 ) 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   . 
                 
               
             
           
         
       
     
     In one example of N g =4: Rank 1: 
     
       
         
           
             
               
                 W 
                 
                   M 
                   ⁢ 
                   P 
                 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         
                           W 
                           
                             S 
                             ⁢ 
                             P 
                           
                         
                       
                     
                     
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               α 
                             
                           
                           ⁢ 
                           
                             W 
                             
                               S 
                               ⁢ 
                               P 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 = 
                 
                   
                     [ 
                     
                       
                         
                           W 
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   1 
                                 
                               
                             
                             ⁢ 
                             W 
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   2 
                                 
                               
                             
                             ⁢ 
                             W 
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   3 
                                 
                               
                             
                             ⁢ 
                             W 
                           
                         
                       
                     
                     ] 
                   
                   = 
                   
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               β 
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁡ 
                               ( 
                               
                                 
                                   α 
                                   1 
                                 
                                 + 
                                 β 
                               
                               ) 
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁡ 
                               ( 
                               
                                 
                                   α 
                                   2 
                                 
                                 + 
                                 β 
                               
                               ) 
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁡ 
                               ( 
                               
                                 
                                   α 
                                   3 
                                 
                                 + 
                                 β 
                               
                               ) 
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             ; 
           
         
       
     
     and Rank 2: 
     
       
         
           
             
               
                 W 
                 
                   M 
                   ⁢ 
                   P 
                 
               
               = 
               
                 
                   [ 
                   
                     
                       
                         
                           W 
                           
                             S 
                             ⁢ 
                             P 
                           
                         
                       
                     
                     
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               α 
                             
                           
                           ⁢ 
                           
                             W 
                             
                               S 
                               ⁢ 
                               P 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 = 
                 
                   
                     [ 
                     
                       
                         
                           W 
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   1 
                                 
                               
                             
                             ⁢ 
                             W 
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   2 
                                 
                               
                             
                             ⁢ 
                             W 
                           
                         
                       
                       
                         
                           
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 
                                   α 
                                   3 
                                 
                               
                             
                             ⁢ 
                             W 
                           
                         
                       
                     
                     ] 
                   
                   = 
                   
                     [ 
                     
                       
                         
                           1 
                         
                         
                           1 
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               β 
                             
                           
                         
                         
                           
                             - 
                             
                               e 
                               
                                 j 
                                 ⁢ 
                                 β 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 1 
                               
                             
                           
                         
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁡ 
                               ( 
                               
                                 
                                   α 
                                   1 
                                 
                                 + 
                                 β 
                               
                               ) 
                             
                           
                         
                         
                           
                             - 
                             
                               e 
                               
                                 j 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     α 
                                     1 
                                   
                                   + 
                                   β 
                                 
                                 ) 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 2 
                               
                             
                           
                         
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁡ 
                               ( 
                               
                                 
                                   α 
                                   2 
                                 
                                 + 
                                 β 
                               
                               ) 
                             
                           
                         
                         
                           
                             - 
                             
                               e 
                               
                                 j 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     α 
                                     2 
                                   
                                   + 
                                   β 
                                 
                                 ) 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 3 
                               
                             
                           
                         
                         
                           
                             e 
                             
                               j 
                               ⁢ 
                               
                                 α 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             e 
                             
                               j 
                               ⁡ 
                               ( 
                               
                                 
                                   α 
                                   3 
                                 
                                 + 
                                 β 
                               
                               ) 
                             
                           
                         
                         
                           
                             - 
                             
                               e 
                               
                                 j 
                                 ⁡ 
                                 ( 
                                 
                                   
                                     α 
                                     3 
                                   
                                   + 
                                   β 
                                 
                                 ) 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             , 
           
         
       
     
     where the selection of W SP  is limited to be the same for all panels; and the inter-panel phase e jα     i    (i=1 or 1-3) can be reported either WB or SB or both WB and SB; and the co-phase e jβ  is reported SB. 
     In one embodiment A3, a UE is configured with a PMI codebook for (N g , N 1 , N 2 )∈{(2,1,1), (4,1,1)} as follows. For 4 antenna ports (e.g. {3000, 3001 . . . , 3003), 8 antenna ports (e.g. {3000, 3001 . . . , 3007}), and the UE configured with higher layer parameters CodebookType set to TypeI_MultiPanel and CodebookParameters set to TypeI_Parameters which includes {NumberOfPanels, CodebookConfig-N1, CodebookConfig-N2, CodebookMode}. The values of N g , N 1 , and N 2  are configured with the higher-layer parameters NumberOfPanels, CodebookConfig-N1 and CodebookConfig-N2, respectively. The number of CSI-RS ports, P CSI-RS  is 2N g N 1 N 2  which equals 2N g  if (N 1 , N 2 =(1,1). When N g =2, CodebookMode may be set to either Config1 or Config2. When N g =4, CodebookMode may be set to Config1. 
     Each PMI value corresponds to the codebook indices i 1  and i 2 , where i 1  is the vector given by: 
     
       
         
           
             
               i 
               1 
             
             = 
             
               { 
               
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                   
                     
                       υ 
                       = 
                       1 
                     
                   
                 
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 1 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                   
                     
                       υ 
                       ∈ 
                       
                         { 
                         
                           2 
                           , 
                           3 
                           , 
                           4 
                         
                         } 
                       
                     
                   
                 
               
             
           
         
       
     
     and v is the associated RI value. When CodebookMode is set to Config1, i 1,4  is 
     
       
         
           
             
               i 
               
                 1 
                 , 
                 4 
               
             
             = 
             
               { 
               
                 
                   
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         2 
                       
                     
                   
                   
                     
                       
                         [ 
                         
                           
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   1 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   2 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   1 
                                   , 
                                   4 
                                   , 
                                   3 
                                 
                               
                             
                           
                         
                         ] 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         4 
                       
                     
                   
                 
                 . 
               
             
           
         
       
     
     When CodebookMode is set to Config2, i 1,4  and i 2  are 
     
       
         
           
             
               
                 
                   
                     
                       i 
                       
                         1 
                         , 
                         4 
                       
                     
                     = 
                     
                       [ 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                             , 
                             1 
                           
                         
                         ⁢ 
                              
                         
                           i 
                           
                             1 
                             , 
                             4 
                             , 
                             2 
                           
                         
                       
                       ] 
                     
                   
                 
               
               
                 
                   
                     
                       i 
                       2 
                     
                     = 
                     
                       [ 
                       
                         
                           i 
                           
                             2 
                             , 
                             0 
                           
                         
                         ⁢ 
                              
                         
                           i 
                           
                             2 
                             , 
                             1 
                           
                         
                         ⁢ 
                              
                         
                           i 
                           
                             2 
                             , 
                             2 
                           
                         
                       
                       ] 
                     
                   
                 
               
             
             . 
           
         
       
     
     A UE may only use i 1,2 =0 and may not report i 1,2  if the value of CodebookConfig-N1 is set to greater than 1 and CodebookConfig-N2 is set to 1. A UE may only use i 1,1 =i 1,2 =i 1,3 =0 and may not report i 1,1 , i 1,2 , and i 1,3  if the value of CodebookConfig-N1 and CodebookConfig-N2 are set to 1. 
     The quantities φ n , a p , b n , u m , and v l,m , are given by 
     
       
         
           
             
               
                 
                   
                     
                       φ 
                       n 
                     
                     = 
                     
                       e 
                       
                         j 
                         ⁢ 
                         π 
                         ⁢ 
                         
                           n 
                           / 
                           2 
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       a 
                       p 
                     
                     = 
                     
                       
                         e 
                         
                           j 
                           ⁢ 
                           
                             π 
                             / 
                             4 
                           
                         
                       
                       ⁢ 
                       
                         e 
                         
                           j 
                           ⁢ 
                           π 
                           ⁢ 
                           
                             p 
                             / 
                             2 
                           
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       b 
                       n 
                     
                     = 
                     
                       
                         e 
                         
                           
                             - 
                             j 
                           
                           ⁢ 
                           
                             π 
                             / 
                             4 
                           
                         
                       
                       ⁢ 
                       
                         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 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           
                             
                               
                                 N 
                                 2 
                               
                               &gt; 
                               1 
                             
                           
                         
                         
                           
                             1 
                           
                           
                             
                               
                                 N 
                                 2 
                               
                               = 
                               1 
                             
                           
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       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 
                             
                           
                           
                             
                               
                                 N 
                                 2 
                               
                               &gt; 
                               1 
                             
                           
                         
                         
                           
                             1 
                           
                           
                             
                               
                                 N 
                                 1 
                               
                               = 
                               
                                 
                                   N 
                                   2 
                                 
                                 = 
                                 
                                   
                                     1 
                                     ⁢ 
                                         
                                     or 
                                     ⁢ 
                                         
                                     l 
                                   
                                   = 
                                   
                                     m 
                                     = 
                                     0 
                                   
                                 
                               
                             
                           
                         
                       
                     
                   
                 
               
             
             . 
           
         
       
     
     Furthermore, the quantities W l,m,p,n   1,N     g     ,1 , W l,m,p,n   2,N     g     ,1 , W l,m,p,n   3,N     g     ,1 , and W l,m,p,n   4,N     g     ,1  (N g ∈{2,4}) are given by: 
     
       
         
           
             
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       1 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       2 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       4 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       1 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       2 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       4 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
       
         
           
             
               where 
               ⁢ 
                   
               p 
             
             = 
             
               { 
               
                 
                   
                     
                       
                         p 
                         1 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         2 
                       
                     
                   
                   
                     
                       
                         [ 
                         
                           
                             
                               
                                 p 
                                 1 
                               
                             
                             
                               
                                 p 
                                 2 
                               
                             
                             
                               
                                 p 
                                 3 
                               
                             
                           
                         
                         ] 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         4 
                       
                     
                   
                 
                 , 
               
             
           
         
       
     
     and the quantities W l,m,p,n   1,N     g     ,2 , W l,m,p,n   2,N     g     ,2 , W l,m,p,n   3,N     g     ,2 , and W l,m,p,n   4,N     g     ,2  (N=2) are given by: 
     
       
         
           
             
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       1 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       2 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       4 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
       
         
           
             where 
             ⁢ 
             
                 
                  
             
             ⁢ 
             
               
                 
                   
                     
                       p 
                       = 
                       
                         [ 
                         
                           
                             
                               
                                 p 
                                 1 
                               
                             
                             
                               
                                 p 
                                 2 
                               
                             
                           
                         
                         ] 
                       
                     
                   
                 
                 
                   
                     
                       n 
                       = 
                       
                         [ 
                         
                           
                             
                               
                                 n 
                                 0 
                               
                             
                             
                               
                                 n 
                                 1 
                               
                             
                             
                               
                                 
                                   n 
                                   2 
                                 
                                 ] 
                               
                             
                           
                         
                       
                     
                   
                 
               
               . 
             
           
         
       
     
     The codebooks for 1-4 layers are given respectively in TABLES 54-57, where (k 1 , k 2 )=(0,0) if (N 1 , N 2 )=(1,1). 
     
       
         
           
               
             
               
                 TABLE 54 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [3000 to 2999 + P CSI-RS ]  
               
               
                   
               
             
            
               
                 Config1, (N  g , N  1 , N  2 ) ∈ {(2, 1, 1), (4, 1, 1)} 
               
            
           
           
               
               
               
               
               
            
               
                 i 1, 1   
                 i 1, 2   
                 i 1, 4, q , q = 1, . . . , N  g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0 
                 0 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 W i     1, 1     , i     1, 2     , i     1, 4     , i     2     (1)   
               
            
           
           
               
            
               
                 where W l, m, p, n   (1)  = W l, m, p, n   1, N      g       ,     1 . 
               
               
                   
               
               
                 Config2, (N  g , N  1 , N  2 ) = (2, 1, 1) 
               
            
           
           
               
               
               
               
               
               
            
               
                 i 1, 1   
                 i 1, 2   
                 i 1, 4, q , q = 1, 2 
                 i 2, 0   
                 i 2, q , q = 1, 2 
                   
               
               
                   
               
               
                 0 
                 0 
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1, 1     , i     1, 2     , i     1, 4     , i     2     (1)   
               
            
           
           
               
            
               
                 where W l, m, p, n   (1)  = W l, m, p, n   1, N      g       ,     2 . 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 55 
               
               
                   
               
               
                 Codebook for 2-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) ∈ {(2, 1, 1), (4, 1, 1)} 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0 
                 0 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 2 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (2, 1, 1) 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,q , q = 0, 1, 2 
                   
               
               
                   
               
               
                 0 
                 0 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 2 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 56 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) ∈ {(2, 1, 1), (4, 1, 1)} 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0 
                 0 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 3 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (2, 1, 1) 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,q , q = 0, 1, 2 
                   
               
               
                   
               
               
                 0 
                 0 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 3 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 57 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) ∈ {(2, 1, 1), (4, 1, 1)} 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0 
                 0 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 4 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       4 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (2, 1, 1) 
               
            
           
           
               
               
               
               
               
            
               
                 i 1,1   
                 i 1,2   
                 i 1,4,q , q = 1, 2 
                 i 2,q , q = 0, 1, 2 
                   
               
               
                   
               
               
                 0 
                 0 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,1     ,i     1,1     +k     1     ,i     1,2     ,i     1,2     +k     2     ,i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               l 
                               , 
                               
                                 l 
                                 ′ 
                               
                               , 
                               m 
                               , 
                               
                                 m 
                                 ′ 
                               
                               , 
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 4 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       l 
                                       , 
                                       m 
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         l 
                                         ′ 
                                       
                                       , 
                                       
                                         m 
                                         ′ 
                                       
                                       , 
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       4 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment A3A, the 1-4 layer codebooks for Config2 given respectively in TABLES 54-57 are also supported for N g =4, where i 1,4  and i 2  are replaced with the following: 
     
       
         
           
             
               
                 
                   
                     
                       i 
                       
                         1 
                         , 
                         4 
                       
                     
                     = 
                     
                       { 
                       
                         
                           
                             
                               [ 
                               
                                 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         4 
                                         , 
                                         1 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         4 
                                         , 
                                         2 
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           
                             
                               
                                 N 
                                 g 
                               
                               = 
                               2 
                             
                           
                         
                         
                           
                             
                               [ 
                               
                                 
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         4 
                                         , 
                                         1 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         4 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         4 
                                         , 
                                         3 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         4 
                                         , 
                                         4 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         4 
                                         , 
                                         5 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         1 
                                         , 
                                         4 
                                         , 
                                         6 
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           
                             
                               
                                 N 
                                 g 
                               
                               = 
                               4 
                             
                           
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                           , 
                           q 
                         
                       
                       ∈ 
                       
                         { 
                         
                           0 
                           , 
                           1 
                           , 
                           2 
                           , 
                           3 
                         
                         } 
                       
                     
                     , 
                       
                     
                       q 
                       = 
                       1 
                     
                     , 
                     … 
                        
                     , 
                     
                       2 
                       ⁢ 
                       
                         ( 
                         
                           
                             N 
                             g 
                           
                           - 
                           1 
                         
                         ) 
                       
                     
                   
                 
               
               
                 
                   
                     
                       i 
                       2 
                     
                     = 
                     
                       { 
                       
                         
                           
                             
                               [ 
                               
                                 
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         0 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         1 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         2 
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           
                             
                               
                                 N 
                                 g 
                               
                               = 
                               2 
                             
                           
                         
                         
                           
                             
                               [ 
                               
                                 
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         0 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         1 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         2 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         3 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         4 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         5 
                                       
                                     
                                   
                                   
                                     
                                       i 
                                       
                                         2 
                                         , 
                                         6 
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                           
                           
                             
                               
                                 N 
                                 g 
                               
                               = 
                               4 
                             
                           
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       
                         i 
                         
                           2 
                           , 
                           q 
                         
                       
                       ∈ 
                       
                         { 
                         
                           0 
                           , 
                           1 
                         
                         } 
                       
                     
                     , 
                     
                       q 
                       = 
                       1 
                     
                     , 
                     … 
                        
                     , 
                     
                       2 
                       ⁢ 
                       
                         ( 
                         
                           
                             N 
                             g 
                           
                           - 
                           1 
                         
                         ) 
                       
                     
                   
                 
               
               
                 
                   
                     
                       
                         
                           
                             i 
                             
                               2 
                               , 
                               0 
                             
                           
                           ∈ 
                           
                             { 
                             
                               0 
                               , 
                               1 
                               , 
                               2 
                               , 
                               3 
                             
                             } 
                           
                         
                       
                       
                         
                           υ 
                           = 
                           1 
                         
                       
                     
                   
                 
               
               
                 
                   
                     
                       
                         
                           
                             i 
                             
                               2 
                               , 
                               0 
                             
                           
                           ∈ 
                           
                             { 
                             
                               0 
                               , 
                               1 
                             
                             } 
                           
                         
                       
                       
                         
                           
                             υ 
                             = 
                             2 
                           
                           , 
                           3 
                           , 
                           4 
                         
                       
                     
                   
                 
               
             
             ; 
           
         
       
     
     and the quantities W l,m,p,n   1,N     g     ,2 , W l,m,p,n   2,N     g     ,2  W l,m,p,n   3,N     g     ,2  and W l,m,p,n   4,N     g     ,2  for N g =4 are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 4 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               4 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               4 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               5 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               5 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               6 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               6 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                    
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     4 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 4 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 5 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 5 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 6 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                       
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       2 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                        
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         2 
                       
                     
                   
                   = 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   
                                     n 
                                     0 
                                   
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     where 
                     ⁢ 
                         
                     
                       
                         
                           
                             
                               p 
                               = 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         p 
                                         1 
                                       
                                     
                                     
                                       
                                         p 
                                         2 
                                       
                                     
                                     
                                       
                                         p 
                                         3 
                                       
                                     
                                     
                                       
                                         p 
                                         4 
                                       
                                     
                                     
                                       
                                         p 
                                         5 
                                       
                                     
                                     
                                       
                                         p 
                                         6 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                           
                         
                         
                           
                             
                               n 
                               = 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         n 
                                         0 
                                       
                                     
                                     
                                       
                                         n 
                                         1 
                                       
                                     
                                     
                                       
                                         n 
                                         2 
                                       
                                     
                                     
                                       
                                         n 
                                         3 
                                       
                                     
                                     
                                       
                                         n 
                                         4 
                                       
                                     
                                     
                                       
                                         n 
                                         5 
                                       
                                     
                                     
                                       
                                         n 
                                         6 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                           
                         
                       
                       . 
                     
                   
                 
               
             
           
         
       
     
     In one embodiment A3B, the pre-coding matrix expression in the 3 layer codebook TABLE 56 is replaced with one of following: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config1 and 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config2; 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config1 and 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config2; and 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config1 and 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     For Config2. 
     In one embodiment A3C, the quantities W l,m,p,n   1,N     g     ,1 , W l,m,p,n   1,N     g     ,1 , W l,m,p,n   3,N     g     ,1 , and W l,m,p,n   4,N     g     ,1  for N g =4 in TABLES 54-57 are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 4 
                 , 
                 1 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     4 
                     , 
                     1 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                       
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       1 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   n 
                                 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   n 
                                 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         1 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
     
     and the quantities W l,m,p,n   1,N     g     ,2 , W l,m,p,n   2,N     g     ,2 , W l,m,p,n   3,N     g     ,2 , and W l,m,p,n   4,N     g     ,2  for N g =4 are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 4 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               4 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               4 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               5 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               5 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               6 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               6 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     4 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 4 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 4 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 5 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 6 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                      
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       2 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         2 
                       
                     
                   
                   = 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     . 
                   
                 
               
             
           
         
       
     
     In one embodiment A3D, the quantities W l,m,p,n   1,N     g     ,1 , W l,m,p,n   1,N     g     ,1 , W l,m,p,n   3,N     g     ,1  and W l,m,p,n   4,N     g     ,1  for N g =4 in TABLES 54-57 are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 4 
                 , 
                 1 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     4 
                     , 
                     1 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                       
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       1 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   n 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   n 
                                 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         1 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                     
                 
               
             
           
         
       
     
     and the quantities W l,m,p,n   1,N     g     ,2 , W l,m,p,n   2,N     g     ,2 , W l,m,p,n   3,N     g     ,2  and W l,m,p,n   4,N     g     ,2  for N g =4 are given by: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 m 
                 , 
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 4 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               a 
                               
                                 p 
                                 2 
                               
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               a 
                               
                                 p 
                                 4 
                               
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               4 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               5 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               5 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               a 
                               
                                 p 
                                 6 
                               
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               6 
                             
                           
                           ⁢ 
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     l 
                     , 
                     m 
                     , 
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     4 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           
                             v 
                             
                               l 
                               , 
                               m 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 3 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 4 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 5 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 6 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 6 
                               
                             
                             ⁢ 
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                       
                   
                     W 
                     
                       l 
                       , 
                       m 
                       , 
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       2 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   
                                     n 
                                     0 
                                   
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         2 
                       
                     
                   
                   = 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             
                               v 
                               
                                 l 
                                 , 
                                 m 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   
                                     n 
                                     0 
                                   
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 v 
                                 
                                   l 
                                   , 
                                   m 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                       
                     . 
                   
                 
               
             
           
         
       
     
     In one embodiment A4, the codebook table for (N g , N 1 , N 2 )∈{(2,1,1),(4,1,1)} is as shown in TABLES 58-61, respectively, for 1-4 layer CSI reporting, where the PMI indices i 1,4  and i 2 are defined as in embodiment A 3, and where the quantities W p,n   1,N     g     ,1 , W p,n   2,N     g     ,1 , W p,n   3,N     g     ,1 , and W p,n   4,N     g     ,1  (N g ∈{2,4}) are given by: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 2 
                 , 
                 1 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           φ 
                           n 
                         
                       
                     
                     
                       
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                     , 
                     1 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                       
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       2 
                       , 
                       1 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               n 
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   n 
                                 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         2 
                         , 
                         1 
                       
                     
                   
                   = 
                   
                     
                       
                         
                           1 
                           
                             
                               P 
                               
                                 CSI 
                                 ⁢ 
                                 ‐ 
                                 ⁢ 
                                 RS 
                               
                             
                           
                         
                         [ 
                         
                           
                             
                               1 
                             
                           
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   n 
                                 
                               
                             
                           
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                             
                           
                           
                             
                               
                                 
                                   φ 
                                   n 
                                 
                                 ⁢ 
                                 
                                   φ 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                             
                           
                         
                         ] 
                       
                       ⁢ 
                           
                       
                         W 
                         
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     = 
                     
                       
                         
                           
                             1 
                             
                               
                                 P 
                                 
                                   CSI 
                                   ⁢ 
                                   ‐ 
                                   ⁢ 
                                   RS 
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 1 
                               
                             
                             
                               
                                 
                                   φ 
                                   n 
                                 
                               
                             
                             
                               
                                 
                                   φ 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   φ 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   φ 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                         ⁢ 
                             
                         
                           W 
                           
                             p 
                             , 
                             n 
                           
                           
                             2 
                             , 
                             4 
                             , 
                             1 
                           
                         
                       
                       = 
                       
                         
                           
                             
                               1 
                               
                                 
                                   P 
                                   
                                     CSI 
                                     ⁢ 
                                     ‐ 
                                     ⁢ 
                                     RS 
                                   
                                 
                               
                             
                             [ 
                             
                               
                                 
                                   1 
                                 
                               
                               
                                 
                                   
                                     - 
                                     
                                       φ 
                                       n 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       
                                         p 
                                         1 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                 
                               
                               
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         n 
                                       
                                     
                                     ⁢ 
                                     
                                       φ 
                                       
                                         p 
                                         3 
                                       
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           ⁢ 
                              
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               3 
                               , 
                               4 
                               , 
                               1 
                             
                           
                         
                         = 
                         
                           
                             
                               
                                 1 
                                 
                                   
                                     P 
                                     
                                       CSI 
                                       ⁢ 
                                       ‐ 
                                       ⁢ 
                                       RS 
                                     
                                   
                                 
                               
                               [ 
                               
                                 
                                   
                                     1 
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       n 
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         
                                           p 
                                           1 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       φ 
                                       
                                         p 
                                         2 
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         φ 
                                         n 
                                       
                                       ⁢ 
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       - 
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                   
                                 
                                 
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                       ⁢ 
                                       
                                         φ 
                                         
                                           p 
                                           3 
                                         
                                       
                                     
                                   
                                 
                               
                               ] 
                             
                             ⁢ 
                                 
                             
                               W 
                               
                                 p 
                                 , 
                                 n 
                               
                               
                                 4 
                                 , 
                                 4 
                                 , 
                                 1 
                               
                             
                           
                           = 
                           
                             
                               
                                 
                                   1 
                                   
                                     
                                       P 
                                       
                                         CSI 
                                         ⁢ 
                                         ‐ 
                                         ⁢ 
                                         RS 
                                       
                                     
                                   
                                 
                                 [ 
                                 
                                   
                                     
                                       1 
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           n 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           
                                             p 
                                             1 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         
                                           φ 
                                           n 
                                         
                                         ⁢ 
                                         
                                           φ 
                                           
                                             p 
                                             1 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         φ 
                                         
                                           p 
                                           2 
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         
                                           - 
                                           
                                             φ 
                                             n 
                                           
                                         
                                         ⁢ 
                                         
                                           φ 
                                           
                                             p 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         - 
                                         
                                           φ 
                                           
                                             p 
                                             3 
                                           
                                         
                                       
                                     
                                   
                                   
                                     
                                       
                                         
                                           φ 
                                           n 
                                         
                                         ⁢ 
                                         
                                           φ 
                                           
                                             p 
                                             3 
                                           
                                         
                                       
                                     
                                   
                                 
                                 ] 
                               
                               ⁢ 
                                   
                               where 
                               ⁢ 
                               
                                   
                                      
                               
                               ⁢ 
                               p 
                             
                             = 
                             
                               { 
                                  
                               
                                 
                                   
                                     
                                       
                                         p 
                                         1 
                                       
                                     
                                     
                                       
                                         
                                           N 
                                           g 
                                         
                                         = 
                                         2 
                                       
                                     
                                   
                                   
                                     
                                       
                                         [ 
                                         
                                           
                                             
                                               
                                                 p 
                                                 1 
                                               
                                             
                                             
                                               
                                                 p 
                                                 2 
                                               
                                             
                                             
                                               
                                                 p 
                                                 3 
                                               
                                             
                                           
                                         
                                         ] 
                                       
                                     
                                     
                                       
                                         
                                           N 
                                           g 
                                         
                                         = 
                                         4 
                                       
                                     
                                   
                                 
                                     
                                 , 
                               
                             
                           
                         
                       
                     
                   
                 
               
             
                
           
         
       
     
     and the quantities W p,n   1,N     g     ,2 , W p,n   2,N     g     ,2 , W p,n   3,N     g     ,2 ,and W p,n   4,N     g     ,2  (N g =2) are given by: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 2 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           φ 
                           
                             n 
                             0 
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                    
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                       
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       2 
                       , 
                       2 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                        
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         2 
                         , 
                         2 
                       
                     
                   
                   = 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     where 
                     ⁢ 
                         
                     
                       
                         
                           
                             
                               p 
                               = 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         p 
                                         1 
                                       
                                     
                                     
                                       
                                         p 
                                         2 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                           
                         
                         
                           
                             
                               n 
                               = 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         n 
                                         0 
                                       
                                     
                                     
                                       
                                         n 
                                         1 
                                       
                                     
                                     
                                       
                                         n 
                                         2 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                           
                         
                       
                       . 
                     
                   
                 
               
             
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 58 
               
               
                   
               
               
                 Codebook for 1-layer CSI reporting using antenna ports [3000 to  
               
               
                 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N  g , N  1 , N  2 ) ∈ {(2, 1, 1), (4, 1, 1)} 
               
            
           
           
               
               
               
            
               
                 i 1, 4, q , q = 1, . . . , N  g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 W i     1, 4     , i     2     (1)   
               
            
           
           
               
            
               
                 where W p, n   (1)  = W p, n   1, N      g     , 1 . 
               
               
                   
               
               
                 Config2, (N  g , N  1 , N  2 ) = (2, 1, 1) 
               
            
           
           
               
               
               
               
            
               
                 i 1, 4, q ,q = 1, 2 
                 i 2, 0   
                 i 2, q , q = 1, 2 
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1, 2, 3 
                 0, 1 
                 W i     1, 4     , i     2     (1)   
               
            
           
           
               
            
               
                 where W p, n   (1)  = W p, n   1, N      g     , 1 . 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 59 
               
               
                   
               
               
                 Codebook for 2-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) ∈ {(2, 1, 1), (4, 1, 1)} 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 2 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (2, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, 2 
                 i 2,q , q = 0, 1, 2 
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (2)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               2 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 2 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 60 
               
               
                   
               
               
                 Codebook for 3-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) ∈ {(2, 1, 1), (4, 1, 1)} 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 3 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (2, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, 2 
                 i 2,q , q = 0, 1, 2 
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (3)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               3 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 3 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 61 
               
               
                   
               
               
                 Codebook for 4-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) ∈ {(2, 1, 1), (4, 1, 1)} 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, . . . , N g  − 1 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 4 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       4 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (2, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, 2 
                 i 2,q , q = 0, 1, 2 
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (4)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               4 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 4 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       4 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment A4A, the 1-4 layer codebooks for Config2 given respectively in TABLES 58-61 are also supported for N g =4, where i 1,4  and i 2  are replaced with the following: 
     
       
         
           
             
               i 
               
                 1 
                 , 
                 4 
               
             
             = 
             
               { 
               
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 1 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   
                     
                       
                         N 
                         g 
                       
                       = 
                       2 
                     
                   
                 
                 
                   
                     
                       [ 
                       
                         
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 1 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 4 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 5 
                               
                             
                           
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 6 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   
                     
                       
                         N 
                         g 
                       
                       = 
                       4 
                     
                   
                 
               
             
           
         
       
       
         
           
             
               
                 i 
                 
                   1 
                   , 
                   4 
                   , 
                   q 
                 
               
               ∈ 
               
                 { 
                 
                   0 
                   , 
                   1 
                   , 
                   2 
                   , 
                   3 
                 
                 } 
               
             
             , 
             
               q 
               = 
               1 
             
             , 
                
             … 
                 
             , 
             
               2 
               ⁢ 
               
                 ( 
                 
                   
                     N 
                     g 
                   
                   - 
                   1 
                 
                 ) 
               
             
           
         
       
       
         
           
             
               i 
               2 
             
             = 
             
               { 
               
                 
                   
                     
                       
                         [ 
                         
                           
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   0 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   1 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   2 
                                 
                               
                             
                           
                         
                         ] 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         2 
                           
                       
                     
                   
                   
                     
                       
                         [ 
                         
                           
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   0 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   1 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   2 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   3 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   4 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   5 
                                 
                               
                             
                             
                               
                                 i 
                                 
                                   2 
                                   , 
                                   6 
                                 
                               
                             
                           
                         
                         ] 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         4 
                       
                     
                   
                 
                 ; 
               
             
           
         
       
       
         
           
             
               
                 i 
                 
                   2 
                   , 
                   q 
                 
               
               ∈ 
               
                 { 
                 
                   0 
                   , 
                   1 
                 
                 } 
               
             
             , 
             
               q 
               = 
               1 
             
             , 
               
             … 
                 
             , 
             
               2 
               ⁢ 
               
                 ( 
                 
                   
                     N 
                     g 
                   
                   - 
                   1 
                 
                 ) 
               
             
           
         
       
       
         
           
             
               
                 i 
                 
                   2 
                   , 
                   0 
                 
               
               ∈ 
               
                 
                   { 
                   
                     0 
                     , 
                     1 
                     , 
                     2 
                     , 
                     3 
                   
                   } 
                 
                 ⁢ 
                     
                 v 
               
             
             = 
             1 
           
         
       
       
         
           
             
               
                 
                   i 
                   
                     2 
                     , 
                     0 
                   
                 
                 ∈ 
                 
                   
                     { 
                     
                       0 
                       , 
                       1 
                     
                     } 
                   
                   ⁢ 
                        
                   v 
                 
               
               = 
               2 
             
             , 
             3 
             , 
             4 
           
         
       
     
     and the quantities W p,n   1,N     g     ,2 , W p,n   2,N     g     ,2 , W p,n   3,N     g     ,2  and W p,n   4,N     g     ,2  for N g =4 are given by: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 4 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           φ 
                           
                             n 
                             0 
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               3 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               3 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               4 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               4 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               5 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               5 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               6 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               6 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                    
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     4 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 4 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 5 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 5 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 6 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                      
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       2 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         2 
                       
                     
                   
                   = 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                          
                     where 
                     ⁢ 
                         
                     
                       
                         
                           
                             
                               p 
                               = 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         p 
                                         1 
                                       
                                     
                                     
                                       
                                         p 
                                         2 
                                       
                                     
                                     
                                       
                                         p 
                                         3 
                                       
                                     
                                     
                                       
                                         p 
                                         4 
                                       
                                     
                                     
                                       
                                         p 
                                         5 
                                       
                                     
                                     
                                       
                                         p 
                                         6 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                           
                         
                         
                           
                             
                               n 
                               = 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         n 
                                         0 
                                       
                                     
                                     
                                       
                                         n 
                                         1 
                                       
                                     
                                     
                                       
                                         n 
                                         2 
                                       
                                     
                                     
                                       
                                         n 
                                         3 
                                       
                                     
                                     
                                       
                                         n 
                                         4 
                                       
                                     
                                     
                                       
                                         n 
                                         5 
                                       
                                     
                                     
                                       
                                         n 
                                         6 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                           
                         
                       
                       . 
                     
                   
                 
               
             
           
         
       
     
     In one embodiment A4B, the pre-coding matrix expression in the 3 layer codebook  60  is replaced with one of following: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config1 and 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config2; 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config1 and 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config2; and 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         1 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config1 and 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   3 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     for Config2 
     In one embodiment A4C, the quantities W p,n   1,N     g     ,1 , W p,n   2,N     g     ,1 , W p,n   3,N     g     ,1  and W p,n   4,N     g     ,1  for N g =4 in TABLE 58-61 are given by: 
     
       
         
           
             
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       1 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       2 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       4 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
     
     and the quantities W p,n   1,N     g     ,2 , W p,n   2,N     g     ,2 , W p,n   3,N     g     ,2  and W p,n   4,N     g     ,2  for N g =4 are given by: 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
             
             . 
           
         
       
     
     In one embodiment A4D, the quantities W p,n   1,N     g     ,1 , W p,n   2,N     g     ,1 , W p,n   3,N     g     ,1 , and W p,n   4,N     g     ,1  for N g =4 in TABLES 58-61 are given by: 
     
       
         
           
             
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       1 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           F 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       2 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           F 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           F 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       4 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           F 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
     
     and the quantities W p,n   1,N     g     ,2 , W p,n   2,N     g     ,2 , W p,n   3,N     g     ,2 , and W p,n   4,N     g     ,2  for N g =4 are given by: 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
             
             . 
           
         
       
     
     In one embodiment A5, the PMI codebook for rank 5, rank 6, rank 7, and rank 8 CSI reporting for (N g , N 1 , N 2 ), (4,1,1) are as shown in TABLES 62-65, respectively where the quantities W p,n   1,N     g     ,1 , W p,n   2,N     g     ,1 , W p,n   3,N     g     ,1 , and W p,n   4,N     g     ,1  are given by: 
     
       
         
           
             
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       1 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       2 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       5 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       6 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       4 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       7 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       8 
                       , 
                       4 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
     
     the quantities W p,n   1,N     g     ,2 , W p,n   2,N     g     ,2 , W p,n   3,N     g     ,2 , and W p,n   4,N     g     ,2  are given by: 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         3 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         5 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         6 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         7 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     4 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         8 
                         , 
                         4 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     3 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
             
             . 
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 62 
               
               
                   
               
               
                 Codebook for 5-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) = (4, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, 2, 3 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (5)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               5 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 5 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       4 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       5 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (4, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, . . . , 6 
                 i 2,q , q = 0, 1, . . . , 6 
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (5)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               5 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 5 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       4 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       5 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 63 
               
               
                   
               
               
                 Codebook for 6-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) = (4, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, 2, 3 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (6)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       6 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       6 
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             1 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             2 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             3 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             4 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             5 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             6 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 . 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (4, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, . . . , 6 
                 i 2,q , q = 0, 1, . . . , 6 
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (6)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       6 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       6 
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             1 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             2 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             3 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             4 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             5 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             6 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 . 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 64 
               
               
                   
               
               
                 Codebook for 7-layer CSI reporting  
               
               
                 using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) = (4, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, 2, 3 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (7)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       7 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       7 
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             1 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             2 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             3 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             4 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             5 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             6 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             7 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             1 
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 . 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (4, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, . . . , 6 
                 i 2,q , q = 0, 1, . . . , 6 
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (7)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                          
                         
                           
                             
                               
                                 
                                   where 
                                   ⁢ 
                                       
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       ( 
                                       7 
                                       ) 
                                     
                                   
                                 
                                 = 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     1 
                                     
                                       7 
                                     
                                   
                                   [ 
                                   
                                     
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             1 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             2 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             3 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             4 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             5 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             6 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           W 
                                           
                                             p 
                                             , 
                                             n 
                                           
                                           
                                             7 
                                             , 
                                             
                                               N 
                                               g 
                                             
                                             , 
                                             2 
                                           
                                         
                                       
                                     
                                   
                                   ] 
                                 
                                 . 
                               
                             
                           
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     
       
         
           
               
             
               
                 TABLE 65 
               
               
                   
               
               
                 Codebook for 8-layer CSI reporting using antenna ports [3000 to 2999 + P CSI-RS ] 
               
               
                   
               
             
            
               
                 Config1, (N g , N 1 , N 2 ) = (4, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, 2, 3 
                 i 2   
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (8)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               8 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 8 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       4 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       5 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       6 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       7 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       8 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       1 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
               
                 Config2, (N g , N 1 , N 2 ) = (4, 1, 1) 
               
            
           
           
               
               
               
            
               
                 i 1,4,q , q = 1, . . . , 6 
                 i 2,q , q = 0, 1, . . . , 6 
                   
               
               
                   
               
               
                 0, 1, 2, 3 
                 0, 1 
                 W i     1,4     ,i     2     (8)   
               
               
                   
               
            
           
           
               
            
               
                 
                   
                     
                       
                         
                           where 
                           ⁢ 
                               
                           
                             W 
                             
                               p 
                               , 
                               n 
                             
                             
                               ( 
                               8 
                               ) 
                             
                           
                         
                         = 
                         
                           
                             
                               1 
                               
                                 8 
                               
                             
                             [ 
                             
                               
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       1 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       2 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       3 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       4 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       5 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       6 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       7 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       p 
                                       , 
                                       n 
                                     
                                     
                                       8 
                                       , 
                                       
                                         N 
                                         g 
                                       
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                             ] 
                           
                           . 
                         
                       
                     
                   
                 
               
               
                   
               
            
           
         
       
     
     In one embodiment A5A, the pre-coding matrix expression in the 5 layer codebook TABLE 62 is replaced with one of following: Config1: 
     
       
         
           
             
               
                 W 
                 
                   p 
                   , 
                   n 
                 
                 
                   ( 
                   5 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     5 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           p 
                           , 
                           n 
                         
                         
                           
                             c 
                             1 
                           
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           p 
                           , 
                           n 
                         
                         
                           
                             c 
                             2 
                           
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           p 
                           , 
                           n 
                         
                         
                           
                             c 
                             3 
                           
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           p 
                           , 
                           n 
                         
                         
                           
                             c 
                             4 
                           
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           p 
                           , 
                           n 
                         
                         
                           
                             c 
                             5 
                           
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             ; 
           
         
       
     
     and Config2: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 5 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   5 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         
                           c 
                           1 
                         
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         
                           c 
                           2 
                         
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         
                           c 
                           3 
                         
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         
                           c 
                           4 
                         
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         
                           c 
                           5 
                         
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     where (c 1 , c 2 , . . . , c 5 ) corresponds to one of 
     
       
         
           
             
               ( 
               
                 
                   
                     8 
                   
                 
                 
                   
                     5 
                   
                 
               
               ) 
             
             = 
             
               5 
               ⁢ 
               6 
             
           
         
       
     
     combinations of 5 numbers out of {1,2, . . . , 8}. 
     The pre-coding matrix expression in the 6 layer codebook TABLE 63 is replaced with one of following: Config1: 
     
       
         
           
             
               
                 W 
                 
                   p 
                   , 
                   n 
                 
                 
                   ( 
                   6 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     6 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         1 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         2 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         3 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         4 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         5 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         6 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                 
                 ] 
               
             
             ; 
           
         
       
     
     and Config2: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 6 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   6 
                 
               
               [ 
               
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       1 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       2 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       3 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       4 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       5 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       6 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
               
               ] 
             
           
         
       
     
     where (c 1 , c 2 , . . . , c 6 ) corresponds to one of 
     
       
         
           
             
               ( 
               
                 
                   
                     8 
                   
                 
                 
                   
                     6 
                   
                 
               
               ) 
             
             = 
             28 
           
         
       
     
     combinations of 6 numbers out of {1,2, . . . , 8}. 
     The pre-coding matrix expression in the 7 layer codebook TABLE 64 are replaced with one of following: Config1: 
     
       
         
           
             
               
                 W 
                 
                   p 
                   , 
                   n 
                 
                 
                   ( 
                   7 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     7 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         1 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         2 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         3 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         4 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         5 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         6 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       
                         c 
                         7 
                       
                       , 
                       
                         N 
                         g 
                       
                       , 
                       1 
                     
                   
                 
                 ] 
               
             
             ; 
           
         
       
     
     and Config2: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 ( 
                 7 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   7 
                 
               
               [ 
               
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       1 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       2 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       3 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       4 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       5 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       6 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     
                       c 
                       7 
                     
                     , 
                     
                       N 
                       g 
                     
                     , 
                     2 
                   
                 
               
               ] 
             
           
         
       
     
     where (c 1 , c 2 , . . . , c 7 ) corresponds to one of 
     
       
         
           
             
               ( 
               
                 
                   
                     8 
                   
                 
                 
                   
                     7 
                   
                 
               
               ) 
             
             = 
             8 
           
         
       
     
     combinations of 7 numbers out of {1,2, . . . , 8}. 
     In one embodiment A6, the codebook table for (N g , N 1 , N 2 )=(1,1,1), i.e., single panel with 2 ports, is defined by PMI indices i 1,4  and i 2 , and quantities φ n , a p , and b n  as defined in embodiment A3/A4/A5. The pre-coding vector/matrix for 1-2 layer CSI reporting is according to one of the following alternatives. One of these alternatives is either fixed in the standard specification or is configured via higher layer signaling. 
     In one example of Alt A6-0, if the UE is configured with CodebookMode=Config1, then the quantities W p,n   1,N     g     ,1  and W p,n   1,N     g     ,1  (N g =1) are given by: 
     
       
         
           
             
               
                 
                   
                     W 
                     n 
                     
                       1 
                       , 
                       1 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                     
                     ] 
                   
                 
               
               
                 
                   
                     W 
                     n 
                     
                       2 
                       , 
                       1 
                       , 
                       1 
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             - 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
     
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,1,1 , where i 1,4 =0 and i 2 =0,1,2,3. In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           i 
                           2 
                         
                         
                           1 
                           , 
                           1 
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           i 
                           2 
                         
                         
                           2 
                           , 
                           1 
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0 and i 2 =0,1. 
     In one example of Alt A6-1, if the UE is configured with CodebookMode=Config2, then the quantities W p,n   1,N     g     ,2  and W p,n   2,N     g     ,2  (N g =1) are given by: 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         1 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               
                                 a 
                                 p 
                               
                               ⁢ 
                               
                                 b 
                                 n 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         1 
                         , 
                         2 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 a 
                                 p 
                               
                               ⁢ 
                               
                                 b 
                                 n 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                 
               
             
             . 
           
         
       
     
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,1,2 , where i 1,4 =0,1,2,3 and i 2 =0,1. In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           1 
                           , 
                           1 
                           , 
                           2 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           2 
                           , 
                           1 
                           , 
                           2 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0,1,2,3 and i 2 =0,1. 
     In one example of Alt A6-2, if the UE is configured with CodebookMode=Config3, then the quantities W p,n   1,N     g     ,3  and W p,n   2,N     g     ,3  (N g =1) are given by: 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       0 
                       
                         1 
                         , 
                         1 
                         , 
                         3 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             0 
                           
                         
                       
                       ] 
                     
                   
                 
                 
                   
                     
                       W 
                       1 
                       
                         1 
                         , 
                         1 
                         , 
                         3 
                       
                     
                     = 
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               - 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             1 
                           
                         
                       
                       ] 
                     
                   
                 
               
             
             . 
           
         
       
     
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     2     1,1,3 , where i 1,4 =0 and i 2 =0,1. In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           i 
                           2 
                         
                         
                           1 
                           , 
                           1 
                           , 
                           3 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             2 
                           
                           + 
                           1 
                         
                         
                           1 
                           , 
                           1 
                           , 
                           3 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0 and i 2 =0. 
     In one example of Alt A6-4, if the UE is configured with CodebookMode=Config4, then the pre-coder vector/matrix can be either according to Alt A6-0 or Alt A6-2 for all 1-2 layers. In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     2     1,1,1 , where i 1,4 =0 and i 2 =0,1,2,3. In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     2     −4 , where i 1,4 =0 and i 2 =4,5. In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           i 
                           2 
                         
                         
                           1 
                           , 
                           1 
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           i 
                           2 
                         
                         
                           2 
                           , 
                           1 
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0 and i 2 =0,1. In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           
                             i 
                             2 
                           
                           - 
                           2 
                         
                         
                           1 
                           , 
                           1 
                           , 
                           3 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             2 
                           
                           - 
                           1 
                         
                         
                           1 
                           , 
                           1 
                           , 
                           3 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0 and i 2 =0. 
     In one example of Alt A6-5, if the UE is configured with CodebookMode=Config5, then the pre-coder vector/matrix can be either according to Alt A6-1 or Alt A6-2 for all 1-2 layers. In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,1,2  where i 1,4 =0,1,2,3 and i 2 =0,1. In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W ,i     2     −2 , where i 1,4 =0 and i 2 =2, 3. In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           1 
                           , 
                           1 
                           , 
                           2 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           2 
                           , 
                           1 
                           , 
                           2 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0,1,2,3 and i 2 =0,1. In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       
                         i 
                         2 
                       
                       - 
                       2 
                     
                     
                       1 
                       , 
                       1 
                       , 
                       3 
                     
                   
                   ⁢ 
                        
                   
                     W 
                     
                       
                         i 
                         2 
                       
                       - 
                       1 
                     
                     
                       1 
                       , 
                       1 
                       , 
                       3 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0 and i 2 =2. 
     In one example of Alt A6-6, if the UE is configured with CodebookMode=Config6, then the pre-coder vector/matrix is according to Alt A6-x for 1-layer CSI reporting and according to Alt A6-y for 2-layer CSI reporting where x≠y. A few examples of x and y are as follows: (x, y)=(0, 2); (x, y)=(1, 2); (x, y)=(3, 2); and (x, y)=(4, 2) 
     In one embodiment A6A, at least one of the proposed 2 port codebook in embodiment A6 is also used for TPMI indication (in UL-related DCI signaling) for codebook-based UL transmission. Two alternatives in this case are as follows. In one example of Alt A6A-1, the codebook is used regardless of 2 ports being either on a single panel with 2 dual-polarized antenna ports at the UE or two panels each with a single antenna port at the UE. In one example of Alt A6A-2, the codebook is only used for the case of two panels each with a single antenna port at the UE. 
     In one embodiment A7, the codebook table for (N g , N 1 , N 2 )=(2,1,1), i.e., two panels each with 2 ports, is defined by PMI indices i 1,4  and i 2 , and quantities φ n , a p , and b n  as defined in embodiment A3A/4/A5. The pre-coding vector/matrix for 1-4 layer CSI reporting is according to one of the following alternatives. One of these alternatives is either fixed in the specification or is configured via higher layer signaling. 
     In one example of Alt A7-0, if the UE is configured with CodebookMode=Config1, then the following quantities are defined as given by: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 2 
                 , 
                 1 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           φ 
                           n 
                         
                       
                     
                     
                       
                         
                           φ 
                           
                             p 
                             1 
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                     , 
                     1 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       2 
                       , 
                       1 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               n 
                             
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   φ 
                                   n 
                                 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         2 
                         , 
                         1 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
     
     where p=p 1 . 
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,2,1 , where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 1-layer CSI reporting. 
     In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       1 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 2-layer CSI reporting. 
     In such example, the pre-coding matrix for 3-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   3 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     3 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       3 
                       , 
                       2 
                       , 
                       1 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 3-layer CSI reporting. 
     In such example, the pre-coding matrix for 4-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   4 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     4 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       3 
                       , 
                       2 
                       , 
                       1 
                     
                   
                   ⁢ 
                       
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       4 
                       , 
                       2 
                       , 
                       1 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 4-layer CSI reporting. 
     In one example of Alt A7-1, if the UE is configured with CodebookMode=Config2, then the following quantities are defined as given by: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 2 
                 , 
                 2 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           φ 
                           
                             n 
                             0 
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               2 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                         
                       
                     
                   
                   ] 
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                     , 
                     2 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       2 
                       , 
                       2 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                        
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         2 
                         , 
                         2 
                       
                     
                   
                   = 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 
                                   n 
                                   0 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     where 
                     ⁢ 
                     
                           
                         
                     
                     ⁢ 
                     
                       
                         
                           
                             
                               p 
                               = 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         p 
                                         1 
                                       
                                     
                                     
                                       
                                         p 
                                         2 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                           
                         
                         
                           
                             
                               n 
                               = 
                               
                                 [ 
                                 
                                   
                                     
                                       
                                         n 
                                         0 
                                       
                                     
                                     
                                       
                                         n 
                                         1 
                                       
                                     
                                     
                                       
                                         n 
                                         2 
                                       
                                     
                                   
                                 
                                 ] 
                               
                             
                           
                         
                       
                       . 
                     
                   
                 
               
             
           
         
       
     
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,2,2 , where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 1-layer CSI reporting. 
     In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       2 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 2-layer CSI reporting. 
     In such example, the pre-coding matrix for 3-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   3 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     3 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       3 
                       , 
                       2 
                       , 
                       2 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 3-layer CSI reporting. 
     In such example, the pre-coding matrix for 4-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   4 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     4 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       3 
                       , 
                       2 
                       , 
                       2 
                     
                   
                   ⁢ 
                       
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       4 
                       , 
                       2 
                       , 
                       2 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 4-layer CSI reporting. 
     In one example of Alt A7-2, if the UE is configured with CodebookMode=Config3, then the following quantities are defined as given by: 
     
       
         
           
             
               W 
               n 
               
                 1 
                 , 
                 2 
                 , 
                 3 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           φ 
                           n 
                         
                       
                     
                     
                       
                         0 
                       
                     
                     
                       
                         0 
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   n 
                   
                     2 
                     , 
                     2 
                     , 
                     3 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                     
                     ] 
                   
                   ⁢ 
                      
                   
                     W 
                     n 
                     
                       3 
                       , 
                       2 
                       , 
                       3 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               n 
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       n 
                       
                         4 
                         , 
                         2 
                         , 
                         3 
                       
                     
                   
                   = 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             1 
                           
                         
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                           
                         
                       
                       ] 
                     
                     . 
                   
                 
               
             
           
         
       
     
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W ,i     2     1,2,3 , where i 1,4 =0 and i 2 =0,1,2,3. 
     In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       i 
                       2 
                     
                     
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       i 
                       2 
                     
                     
                       2 
                       , 
                       2 
                       , 
                       3 
                     
                   
                 
                   
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0 and i 2 =0,1. 
     In such example, the pre-coding matrix for 3-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   3 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     3 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       i 
                       
                         2 
                         , 
                         0 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       i 
                       
                         2 
                         , 
                         0 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       3 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       i 
                       
                         2 
                         , 
                         1 
                       
                     
                     
                       3 
                       , 
                       2 
                       , 
                       3 
                     
                   
                 
                   
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0 and i 2  [i 2,0 =i 2,1 ], where i 2,q =0,1, is reported according to at least one of the following options: Option 0: i 2,0 =i 2,1  is reported common for both panels; and Option 1: i 2,0  and i 2,1  are reported independently for both panels. 
     In such example, the pre-coding matrix for 4-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   4 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     4 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       i 
                       
                         2 
                         , 
                         0 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       i 
                       
                         2 
                         , 
                         0 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       3 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       i 
                       
                         2 
                         , 
                         1 
                       
                     
                     
                       3 
                       , 
                       2 
                       , 
                       3 
                     
                   
                   ⁢ 
                       
                   
                     W 
                     
                       i 
                       
                         2 
                         , 
                         1 
                       
                     
                     
                       4 
                       , 
                       2 
                       , 
                       3 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0 and i 2  [i 2,0  i 2,1 ], where i 2,q =0,1, is reported according to at least one of the following options: Option 0: i 2,0 =i 2,1  is reported common for both panels; and Option 1: i 2,0  and i 2,1  are reported independently for both panels. 
     In one example of Alt A7-2A, if the UE is configured with CodebookMode=Config3A, then the following quantities are defined as given by: 
     
       
         
           
             
               W 
               
                 p 
                 , 
                 n 
               
               
                 1 
                 , 
                 2 
                 , 
                 3 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           
                             a 
                             p 
                           
                           ⁢ 
                           
                             b 
                             n 
                           
                         
                       
                     
                     
                       
                         0 
                       
                     
                     
                       
                         0 
                       
                     
                   
                   ] 
                 
                 ⁢ 
                     
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     2 
                     , 
                     3 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 p 
                               
                             
                             ⁢ 
                             
                               b 
                               n 
                             
                           
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                     
                     ] 
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       2 
                       , 
                       3 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             1 
                           
                         
                         
                           
                             
                               
                                 a 
                                 p 
                               
                               ⁢ 
                               
                                 b 
                                 n 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                         
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         2 
                         , 
                         3 
                       
                     
                   
                   = 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             1 
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   p 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 n 
                               
                             
                           
                         
                       
                       ] 
                     
                     . 
                   
                 
               
             
           
         
       
     
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,2,3 , where i 1,4 =0,1,2,3 and i 2 =0,1,2,3. 
     In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       1 
                       , 
                       2 
                       , 
                       3 
                     
                   
                   ⁢ 
                      
                   
                     W 
                     
                       
                         i 
                         
                           1 
                           , 
                           4 
                         
                       
                       , 
                       
                         i 
                         2 
                       
                     
                     
                       2 
                       , 
                       2 
                       , 
                       3 
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where i 1,4 =0,1, 2, 3 and i 2 =0,1. 
     In such example, the pre-coding matrix for 3-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         3 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           3 
                         
                       
                       [ 
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 0 
                               
                             
                             , 
                             
                               i 
                               
                                 2 
                                 , 
                                 0 
                               
                             
                           
                           
                             1 
                             , 
                             2 
                             , 
                             3 
                           
                         
                         ⁢ 
                           
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 0 
                               
                             
                             , 
                             
                               i 
                               
                                 2 
                                 , 
                                 0 
                               
                             
                           
                           
                             2 
                             , 
                             2 
                             , 
                             3 
                           
                         
                         ⁢ 
                           
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 2 
                                 , 
                                 1 
                               
                             
                           
                           
                             3 
                             , 
                             2 
                             , 
                             3 
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where i 1,4 =[i 1,4,0  i 1,4,1 ] and i 2 =[i 2,0  i 2,1 ], where i 1,4,q =0,1,2,3 and i 2,q =0,1, are reported according to at least one of the following options: Option 0: i 1,4,0 =i 1,4,1  or/and i 2,0 =i 2,1  is/are reported common for both panels; and Option 1: i 1,4,0 , i 1,4,1 , i 2,0 , and i 2,1  are reported independently for both panels. 
     In such example, the pre-coding matrix for 4-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         4 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           4 
                         
                       
                       [ 
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 0 
                               
                             
                             , 
                             
                               i 
                               
                                 2 
                                 , 
                                 0 
                               
                             
                           
                           
                             1 
                             , 
                             2 
                             , 
                             3 
                           
                         
                         ⁢ 
                           
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 0 
                               
                             
                             , 
                             
                               i 
                               
                                 2 
                                 , 
                                 0 
                               
                             
                           
                           
                             2 
                             , 
                             2 
                             , 
                             3 
                           
                         
                         ⁢ 
                           
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 2 
                                 , 
                                 1 
                               
                             
                           
                           
                             3 
                             , 
                             2 
                             , 
                             3 
                           
                         
                         ⁢ 
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 1 
                               
                             
                             , 
                             
                               i 
                               
                                 2 
                                 , 
                                 1 
                               
                             
                           
                           
                             4 
                             , 
                             2 
                             , 
                             3 
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where i 1,4 =[i 1,4,0  i 1,4,1 ] and i 2 =[i 2,0  i 2,1 ], i 1,4,q =0,1,2,3 and i 2,q =0,1, are reported according to at least one of the following options: Option 0: i 1,4,0 =i 1,4,1  or/and i 2,0 =i 2,1  is/are reported common for both panels; and Option 1: i 1,4,0 , i 1,4,1 , i 2,0 , and i 2,1  are reported independently for both panels. 
     In one example of Alt A7-4, if the UE is configured with CodebookMode=Config4, then the pre-coder vector/matrix can be either according to Alt A7-0 or Alt A7-2/A7-2A for all 1-4 layers. 
     In such example, the codebook for 1-layer CSI reporting is a union of the 1-layer codebook according to Alt A7-0 and the 1-layer codebook according to Alt A7-2/A7-2A. 
     In such example, the codebook for 2-layer CSI reporting is a union of the 2-layer codebook according to Alt A7-0 and the 2-layer codebook according to Alt A7-2/A7-2A. 
     In such example, the codebook for 3-layer CSI reporting is a union of the 3-layer codebook according to Alt A7-0 and the 3-layer codebook according to Alt A7-2/A7-2A. 
     In such example, the codebook for 4-layer CSI reporting is a union of the 4-layer codebook according to Alt A7-0 and the 4-layer codebook according to Alt A7-2/A7-2A. 
     In one example of Alt A7-5, if the UE is configured with CodebookMode=Config5, then the pre-coder vector/matrix can be either according to Alt A7-1 or Alt A7-2/A7-2A for all 1-4 layers. 
     In such example, the codebook for 1-layer CSI reporting is a union of the 1-layer codebook according to Alt A7-1 and the 1-layer codebook according to Alt A7-2/A7-2A. 
     In such example, the codebook for 2-layer CSI reporting is a union of the 2-layer codebook according to Alt A7-1 and the 2-layer codebook according to Alt A7-2/A7-2A. 
     In such example, the codebook for 3-layer CSI reporting is a union of the 3-layer codebook according to Alt A7-1 and the 3-layer codebook according to Alt A7-2/A7-2A. 
     In such example, the codebook for 4-layer CSI reporting is a union of the 4-layer codebook according to Alt A7-1 and the 4-layer codebook according to Alt A7-2/A7-2A. 
     In one example of Alt A7-6, if the UE is configured with CodebookMode=Config6, then the pre-coder vector/matrix is according to Alt A7-x for 1 to r layer CSI reporting and according to Alt A7-y for r+1 to 4 layer CSI reporting where x≠y, and r=1 or 2. A few examples of x and y are as follows: (x, y)=(0, 2) or (0, 2A); (x, y)=(1, 2) or (1, 2A); (x, y)=(3, 2) or (3, 2A); and (x, y)=(4, 2) or (4, 2A). 
     In one embodiment A7A, at least one of the proposed 4 port codebook in embodiment A7 is also used for TPMI indication (in UL-related DCI signaling) for codebook-based UL transmission. Two alternatives in this case are as follows. In one example of Alt A7A-1, the codebook is used regardless of 4 ports being either on a single panel (N g =1) with 4 single-polarized or dual-polarized antenna ports at the UE or on two panels (N g =2) each with 2 antenna ports at the UE. In one example of Alt A7A-2, the codebook is only used for the case of two panels (N g =2) each with 2 antenna ports at the UE. 
     In one embodiment A8, the codebook table for (N g , N 1 , N 2 )=(4,1,1), i.e., two panels each with 2 ports, is defined by PMI indices i 1,4  and i 2 , and quantities φ n , a p , and b n  as defined in embodiment A3/A4/A5. The pre-coding vector/matrix for 1-4 layer CSI reporting is according to one of the following alternatives. One of these alternatives is either fixed in the specification or is configured via higher layer signaling. 
     In one example of Alt A8-0, if the UE is configured with CodebookMode=Config1, then the following quantities are defined as given by: 
     
       
         
           
             
               
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     1 
                     , 
                     4 
                     , 
                     1 
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               n 
                             
                           
                         
                         
                           
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 
                                   p 
                                   3 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         4 
                         , 
                         1 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
                  
             
             ⁢ 
             
 
             
               
                 W 
                 
                   p 
                   , 
                   n 
                 
                 
                   3 
                   , 
                   4 
                   , 
                   1 
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             n 
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                       
                         
                           
                             
                               φ 
                               n 
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               
                                 p 
                                 3 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       4 
                       , 
                       4 
                       , 
                       1 
                     
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           - 
                           
                             φ 
                             n 
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               1 
                             
                           
                         
                       
                     
                     
                       
                         
                           φ 
                           
                             p 
                             2 
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               2 
                             
                           
                         
                       
                     
                     
                       
                         
                           - 
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             
                               p 
                               3 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
             
           
         
       
     
     where p=[p 1  p 2  p 3 ]. 
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,4,1 , where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 1-layer CSI reporting. 
     In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               W 
               
                 
                   i 
                   
                     1 
                     , 
                     4 
                   
                 
                 , 
                 
                   i 
                   2 
                 
               
               
                 ( 
                 2 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   2 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         1 
                         , 
                         4 
                         , 
                         1 
                       
                     
                   
                   
                     
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                               
                             
                             , 
                             
                               i 
                               2 
                             
                           
                           
                             2 
                             , 
                             4 
                             , 
                             1 
                           
                         
                         ] 
                       
                       , 
                     
                   
                 
               
             
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 2-layer CSI reporting. 
     In such example, the pre-coding matrix for 3-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   3 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     3 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           1 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           2 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           3 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 3-layer CSI reporting. 
     In such example, the pre-coding matrix for 4-layer CSI reporting is given by 
     
       
         
           
             
               
                 W 
                 
                   
                     i 
                     
                       1 
                       , 
                       4 
                     
                   
                   , 
                   
                     i 
                     2 
                   
                 
                 
                   ( 
                   4 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     4 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           1 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           2 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           3 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             i 
                             
                               1 
                               , 
                               4 
                             
                           
                           , 
                           
                             i 
                             2 
                           
                         
                         
                           4 
                           , 
                           4 
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 4-layer CSI reporting. 
     In one example of Alt A8-1, if the UE is configured with CodebookMode=Config2, then the following quantities are defined as given by: 
     
       
         
           
             
               
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     1 
                     , 
                     4 
                     , 
                     2 
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         4 
                         , 
                         2 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 4 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 5 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 5 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   6 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 6 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
               , 
               
 
               
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     3 
                     , 
                     4 
                     , 
                     2 
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     1 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     2 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   3 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   3 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   4 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     5 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   5 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 - 
                                 
                                   a 
                                   
                                     p 
                                     6 
                                   
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         2 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 3 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 3 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   4 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 4 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   5 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 5 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 6 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 6 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
             ⁢ 
             
 
             
               where 
               ⁢ 
                   
               
                 
                   
                     
                       
                         p 
                         = 
                         
                           [ 
                           
                             
                               
                                 
                                   p 
                                   1 
                                 
                               
                               
                                 
                                   p 
                                   2 
                                 
                               
                               
                                 
                                   p 
                                   3 
                                 
                               
                               
                                 
                                   p 
                                   4 
                                 
                               
                               
                                 
                                   p 
                                   5 
                                 
                               
                               
                                 
                                   p 
                                   6 
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                   
                     
                       
                         n 
                         = 
                         
                           [ 
                           
                             
                               
                                 
                                   n 
                                   0 
                                 
                               
                               
                                 
                                   n 
                                   1 
                                 
                               
                               
                                 
                                   n 
                                   2 
                                 
                               
                               
                                 
                                   n 
                                   3 
                                 
                               
                               
                                 
                                   n 
                                   4 
                                 
                               
                               
                                 
                                   n 
                                   5 
                                 
                               
                               
                                 
                                   n 
                                   6 
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
                 . 
               
             
           
         
       
     
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,4,2 , where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 1-layer CSI reporting. 
     In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         2 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           2 
                         
                       
                       [ 
                       
                         
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 2 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 2-layer CSI reporting. 
     In such example, the pre-coding matrix for 3-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         3 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           3 
                         
                       
                       [ 
                       
                         
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       
                                         i 
                                         
                                           1 
                                           , 
                                           4 
                                         
                                       
                                       , 
                                       
                                         i 
                                         2 
                                       
                                     
                                     
                                       2 
                                       , 
                                       4 
                                       , 
                                       2 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         i 
                                         
                                           1 
                                           , 
                                           4 
                                         
                                       
                                       , 
                                       
                                         i 
                                         2 
                                       
                                     
                                     
                                       3 
                                       , 
                                       4 
                                       , 
                                       2 
                                     
                                   
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 3-layer CSI reporting. 
     In such example, the pre-coding matrix for 4-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         4 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           4 
                         
                       
                       [ 
                       
                         
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 2 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 3 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 4 
                                 , 
                                 4 
                                 , 
                                 2 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where the range of values for i 1,4  and i 2  (or/and their components) are defined as in embodiment A4 (or A4A or A4B or A4C or A4D or their combination) for 4-layer CSI reporting. 
     In one example of Alt A8-2, if the UE is configured with CodebookMode=Config3, then the following quantities are defined as given by: 
     
       
         
           
             
               W 
               p 
               
                 1 
                 , 
                 4 
                 , 
                 3 
               
             
             = 
             
               
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           ⁢ 
                           ‐ 
                           ⁢ 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         1 
                       
                     
                     
                       
                         
                           φ 
                           n 
                         
                       
                     
                     
                       
                         
                           φ 
                           p 
                         
                       
                     
                     
                       
                         
                           
                             φ 
                             n 
                           
                           ⁢ 
                           
                             φ 
                             p 
                           
                         
                       
                     
                     
                       
                         0 
                       
                     
                     
                       
                         0 
                       
                     
                     
                       
                         0 
                       
                     
                     
                       
                         0 
                       
                     
                   
                   ] 
                 
                 ⁢ 
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     2 
                     , 
                     4 
                     , 
                     3 
                   
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             p 
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               p 
                             
                           
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                     
                     ] 
                   
                   . 
                   
 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       3 
                       , 
                       4 
                       , 
                       3 
                     
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               n 
                             
                           
                         
                         
                           
                             
                               φ 
                               p 
                             
                           
                         
                         
                           
                             
                               
                                 φ 
                                 n 
                               
                               ⁢ 
                               
                                 φ 
                                 p 
                               
                             
                           
                         
                       
                       ] 
                     
                     ⁢ 
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         4 
                         , 
                         4 
                         , 
                         3 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               n 
                             
                           
                         
                       
                       
                         
                           
                             φ 
                             p 
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 φ 
                                 n 
                               
                             
                             ⁢ 
                             
                               φ 
                               p 
                             
                           
                         
                       
                     
                     ] 
                   
                 
               
             
           
         
       
     
     In such example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,4,3 , where i 1,4 =0,1,2,3 and i 2 =0,1,2,3. 
     In such example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         2 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           2 
                         
                       
                       [ 
                       
                         
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                   
                                 
                                 , 
                                 
                                   i 
                                   2 
                                 
                               
                               
                                 2 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where i 1,4 =0,1,2,3 and i 2 =0,1. 
     In such example, the pre-coding matrix for 3-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         3 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           3 
                         
                       
                       [ 
                       
                         
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     0 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     0 
                                   
                                 
                               
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       
                                         i 
                                         
                                           1 
                                           , 
                                           4 
                                           , 
                                           0 
                                         
                                       
                                       , 
                                       
                                         i 
                                         
                                           2 
                                           , 
                                           0 
                                         
                                       
                                     
                                     
                                       2 
                                       , 
                                       4 
                                       , 
                                       3 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         i 
                                         
                                           1 
                                           , 
                                           4 
                                           , 
                                           1 
                                         
                                       
                                       , 
                                       
                                         i 
                                         
                                           2 
                                           , 
                                           1 
                                         
                                       
                                     
                                     
                                       3 
                                       , 
                                       4 
                                       , 
                                       3 
                                     
                                   
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where i 1,4 =[i 1,4,0  i 1,4,1 ] and i 2  [i 2,0  i 2,1 ],where i 1,4,q =0,1,2,3 and i 2,q =0,1, are reported according to at least one of the following options: Option 0: i 1,4,0 =i 1,4,1  or/and i 2,0 =i 2,1  is/are reported common for the pair of 2 panels; and Option 1: i 1,4,0 , i 1,4,1 , i 2,0 , and i 2,1  are reported independently for the pair of 2 panels. 
     In such example, the pre-coding matrix for 4-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         4 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           4 
                         
                       
                       [ 
                       
                         
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     0 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     0 
                                   
                                 
                               
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     0 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     0 
                                   
                                 
                               
                               
                                 2 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     1 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     1 
                                   
                                 
                               
                               
                                 3 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     1 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     1 
                                   
                                 
                               
                               
                                 4 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where i 1,4 =[i 1,4,0  i 1,4,1 ] and i 2 =[i 2,0  i 2,1 ], where i 1,4,q =0,1,2,3 and i 2,q =0,1, are reported according to at least one of the following options: Option 0: i 1,4,0 =1 1,4,1  or/and i 2,0 =i 2,1  is/are reported common for the pair of 2 panels; and Option 1: i 1,4,0 , i 1,4,1 , i 2,0 , and i 2,1  are reported independently for the pair of 2 panels. 
     In one example of Alt A8-2A, if the UE is configured with CodebookMode=Config3A, then the following quantities are defined as given by: 
     
       
         
           
             
               
                 
                   W 
                   
                     p 
                     , 
                     n 
                   
                   
                     1 
                     , 
                     4 
                     , 
                     3 
                   
                 
                 = 
                 
                   
                     
                       
                         1 
                         
                           
                             P 
                             
                               CSI 
                               ⁢ 
                               ‐ 
                               ⁢ 
                               RS 
                             
                           
                         
                       
                       [ 
                       
                         
                           
                             1 
                           
                         
                         
                           
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   1 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   1 
                                 
                               
                             
                           
                         
                         
                           
                             
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                               ⁢ 
                               
                                 b 
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                         
                           
                             0 
                           
                         
                       
                       ] 
                     
                     ⁢ 
                     
                       W 
                       
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         4 
                         , 
                         3 
                       
                     
                   
                   = 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           1 
                         
                       
                       
                         
                           
                             - 
                             
                               φ 
                               
                                 n 
                                 0 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               - 
                               
                                 a 
                                 
                                   p 
                                   2 
                                 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                           
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                     
                     ] 
                   
                 
               
                  
             
             ⁢ 
             
 
             
               
                 W 
                 
                   p 
                   , 
                   n 
                 
                 
                   3 
                   , 
                   4 
                   , 
                   3 
                 
               
               = 
               
                 
                   
                     
                       1 
                       
                         
                           P 
                           
                             CSI 
                             ⁢ 
                             ‐ 
                             ⁢ 
                             RS 
                           
                         
                       
                     
                     [ 
                     
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           0 
                         
                       
                       
                         
                           1 
                         
                       
                       
                         
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 1 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 1 
                               
                             
                           
                         
                       
                       
                         
                           
                             
                               a 
                               
                                 p 
                                 2 
                               
                             
                             ⁢ 
                             
                               b 
                               
                                 n 
                                 2 
                               
                             
                           
                         
                       
                     
                     ] 
                   
                   ⁢ 
                   
                     W 
                     
                       p 
                       , 
                       n 
                     
                     
                       4 
                       , 
                       4 
                       , 
                       3 
                     
                   
                 
                 = 
                 
                   
                     1 
                     
                       
                         P 
                         
                           CSI 
                           - 
                           RS 
                         
                       
                     
                   
                   [ 
                   
                     
                       
                         0 
                       
                     
                     
                       
                         0 
                       
                     
                     
                       
                         0 
                       
                     
                     
                       
                         0 
                       
                     
                     
                       
                         1 
                       
                     
                     
                       
                         
                           - 
                           
                             φ 
                             
                               n 
                               0 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             a 
                             
                               p 
                               1 
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               1 
                             
                           
                         
                       
                     
                     
                       
                         
                           
                             - 
                             
                               a 
                               
                                 p 
                                 2 
                               
                             
                           
                           ⁢ 
                           
                             b 
                             
                               n 
                               2 
                             
                           
                         
                       
                     
                   
                   ] 
                 
               
             
             ⁢ 
               
             
               where 
               ⁢ 
                   
               
                 
                   
                     
                       
                         p 
                         = 
                         
                           [ 
                           
                             
                               
                                 
                                   p 
                                   1 
                                 
                               
                               
                                 
                                   p 
                                   2 
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                   
                     
                       
                         n 
                         = 
                         
                           [ 
                           
                             
                               
                                 
                                   n 
                                   0 
                                 
                               
                               
                                 
                                   n 
                                   1 
                                 
                               
                               
                                 
                                   n 
                                   2 
                                 
                               
                             
                           
                           ] 
                         
                       
                     
                   
                 
                 . 
               
             
           
         
       
     
     In one example, the pre-coding vector for 1-layer CSI reporting is given by W i     1,4     ,i     2     (1) =W i     1,4     ,i     2     1,4,3 , where i 1,4 =[i 1,4,0  i 1,4,1 ] and i 2 =[i 2,0  i 2,1  i 2,2 ] where i 1,4,q =0,1, 2, 3 and i 2,q =0,1. 
     In one example, the pre-coding matrix for 2-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         2 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           2 
                         
                       
                       [ 
                       
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                               
                             
                             , 
                             
                               i 
                               2 
                             
                           
                           
                             1 
                             , 
                             4 
                             , 
                             3 
                           
                         
                         ⁢ 
                           
                         
                           W 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                               
                             
                             , 
                             
                               i 
                               2 
                             
                           
                           
                             2 
                             , 
                             4 
                             , 
                             3 
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where i 1,4 =[i 1,4,0  i 1,4,1 ] and i 2 =[i 2,0  i 2,1  i 2,2 ], where i 1,4,q =0,1, 2,3 and i 2,q =0,1. 
     In one example, the pre-coding matrix for 3-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         3 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           3 
                         
                       
                       [ 
                       
                         
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     0 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     0 
                                   
                                 
                               
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               
                                 
                                   
                                     W 
                                     
                                       
                                         i 
                                         
                                           1 
                                           , 
                                           4 
                                           , 
                                           0 
                                         
                                       
                                       , 
                                       
                                         i 
                                         
                                           2 
                                           , 
                                           0 
                                         
                                       
                                     
                                     
                                       2 
                                       , 
                                       4 
                                       , 
                                       3 
                                     
                                   
                                 
                                 
                                   
                                     W 
                                     
                                       
                                         i 
                                         
                                           1 
                                           , 
                                           4 
                                           , 
                                           1 
                                         
                                       
                                       , 
                                       
                                         i 
                                         
                                           2 
                                           , 
                                           1 
                                         
                                       
                                     
                                     
                                       3 
                                       , 
                                       4 
                                       , 
                                       3 
                                     
                                   
                                 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where i 1,4,q =[i 1,4,q,0  i 1,4,q,1 ] and i 2,q =[i 2,q,0  i 2,q,1  i 2,q,2 ], where i 1,4,q,r =0,1,2,3 and 1 2,q,r =0,1, are reported according to at least one of the following options: Option 0: i 1,4,q,0 =i 1,4,q,1  or/and i 2,q,0 =i 2,q,1  is/are reported common for both panels; and Option 1: i 1,4,q,0 , i 1,4,q,1 , i 2,q,0 , and i 2,q,1  are reported independently for both panels. 
     In one example, the pre-coding matrix for 4-layer CSI reporting is given by 
     
       
         
           
             
               
                 
                   
                     
                       W 
                       
                         
                           i 
                           
                             1 
                             , 
                             4 
                           
                         
                         , 
                         
                           i 
                           2 
                         
                       
                       
                         ( 
                         4 
                         ) 
                       
                     
                     = 
                     
                       
                         1 
                         
                           4 
                         
                       
                       [ 
                       
                         
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     0 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     0 
                                   
                                 
                               
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     0 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     0 
                                   
                                 
                               
                               
                                 2 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     1 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     1 
                                   
                                 
                               
                               
                                 3 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                           
                             
                               W 
                               
                                 
                                   i 
                                   
                                     1 
                                     , 
                                     4 
                                     , 
                                     1 
                                   
                                 
                                 , 
                                 
                                   i 
                                   
                                     2 
                                     , 
                                     1 
                                   
                                 
                               
                               
                                 4 
                                 , 
                                 4 
                                 , 
                                 3 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                   
               
             
           
         
       
     
     where i 1,4,q =[i 1,4,q,0  i 1,4,q,1 ] and i 2,q =[i 2,q,0  i 2,q,1  i 2,q,2 ], where i 1,4,q,r =0,1,2,3 and i 2,q,r =0,1, are reported according to at least one of the following options: Option 0: i 1,4,q,0 =i 1,4,q,1  or/and i 2,q,0 =i 2,q,1  is/are reported common for both panels; and Option 1: i 1,4,q,0 , i 1,4,q,1 , i 2,q,0 , and i 2,q,1  are reported independently for both panels. 
     In one example of Alt A8-4, if the UE is configured with CodebookMode=Config4, then the pre-coder vector/matrix can be either according to Alt A8-0 or Alt A8-2/A8-2A for all 1-4 layers. 
     In such example, the codebook for 1-layer CSI reporting is a union of the 1-layer codebook according to Alt A8-0 and the 1-layer codebook according to Alt A8-2/A8-2A. 
     In such example, the codebook for 2-layer CSI reporting is a union of the 2-layer codebook according to Alt A8-0 and the 2-layer codebook according to Alt A8-2/A8-2A. 
     In such example, the codebook for 3-layer CSI reporting is a union of the 3-layer codebook according to Alt A8-0 and the 3-layer codebook according to Alt A8-2/A8-2A. 
     In such example, the codebook for 4-layer CSI reporting is a union of the 4-layer codebook according to Alt A8-0 and the 4-layer codebook according to Alt A8-2/A8-2A. 
     In one example of Alt A8-5, if the UE is configured with CodebookMode=Config5, then the pre-coder vector/matrix can be either according to Alt A8-1 or Alt A8-2/A8-2A for all 1-4 layers. 
     In such example, the codebook for 1-layer CSI reporting is a union of the 1-layer codebook according to Alt A8-1 and the 1-layer codebook according to Alt A8-2/A8-2A. 
     In such example, the codebook for 2-layer CSI reporting is a union of the 2-layer codebook according to Alt A8-1 and the 2-layer codebook according to Alt A8-2/A8-2A. 
     In such example, the codebook for 3-layer CSI reporting is a union of the 3-layer codebook according to Alt A8-1 and the 3-layer codebook according to Alt A8-2/A8-2A. 
     In such example, the codebook for 4-layer CSI reporting is a union of the 4-layer codebook according to Alt A8-1 and the 4-layer codebook according to Alt A8-2/A8-2A. 
     In one example of Alt A8-6, if the UE is configured with CodebookMode=Config6, then the pre-coder vector/matrix is according to Alt A8-x for 1 to r layer CSI reporting and according to Alt A8-y for r+1 to 4 layer CSI reporting where x≠y, and r=1 or 2 or 4. A few examples of x and y is as follows: (x, y)=(0, 2) or (0, 2A); (x, y)=(1, 2) or (1, 2A); (x, y)=(3, 2) or (3, 2A); and (x, y)=(4, 2) or (4, 2A). 
     In one embodiment A8A, at least one of the proposed 4 port codebook in embodiment A8 is also used for TPMI indication (in UL-related DCI signaling) for codebook-based UL transmission. Two alternatives in this case are as follows. In one example of Alt A8A-1, the codebook is used regardless of 8 ports being either on a single panel (N g =1) with 8 single-polarized or dual-polarized antenna ports at the UE or 2 panels each with 4 antenna ports at the UE or on two panels (N g =4) each with 2 antenna ports at the UE. 
     In one example of Alt A8A-2, the codebook is only used for the case of four panels (N g =4) each with 2 antenna ports at the UE. 
       FIG.  14    illustrates a flow chart of a method  1400  for CSI feedback according to embodiments of the present disclosure, as may be performed by a user equipment (UE). The embodiment of the method  1400  illustrated in  FIG.  14    is for illustration only.  FIG.  14    does not limit the scope of this disclosure to any particular implementation. 
     As illustrated in  FIG.  14   , the method  1400  begins at step  1405 . At step  1405 , the UE receives, from a base station (BS), configuration information for the CSI feedback. At step  1405 , the configuration information indicates a number of antenna panels (N g ) at the BS and a codebook mode, wherein N g &gt;1 and each of the antenna panels comprises antenna ports with a first polarization (P 1 ) and antenna ports with a second polarization (P 2 ). 
     At step  1410 , the UE identifies the number of antenna panels (N g ) at the BS. At step  1415 , the UE identifies a codebook for the CSI feedback based on the codebook mode configured between a first codebook mode and a second codebook mode. 
     In one embodiment, the number of antenna panels (N g ) is two or four. In one example, if the number of antenna panels is two (N g =2), one of the first codebook mode or the second codebook mode is configured. In one example, if the number of antenna panels is four (N g =4), only the first codebook mode is configured. 
     In one embodiment, the number of antenna panels is two (N g =2), the second codebook mode is configured, the wideband inter-panel co-phase for each polarization (P i ) of a second of the two antenna panels is given by a p =e jπ/4 e jπp/2 , and the subband inter-panel co-phase for each polarization (P i ) of the second antenna panel is given by b n =e −jπ/4 e jπn/2 , where p=0,1,2,3 and n=0,1. 
     In one embodiment, a combination of (N g , N 1 , N 2 ), configured via the configuration information for the CSI feedback, for a given number of antenna ports and corresponding values of (O 1 , O 2 ) are determined according to: 
                                     Number of               antenna ports   (N g , N 1 , N 2 )   (O 1 , O 2 )                                            8   (2, 2, 1)   (4, 1)       16   (2, 4, 1)   (4, 1)           (4, 2, 1)   (4, 1)           (2, 2, 2)   (4, 4)       32   (2, 8, 1)   (4, 1)           (4, 4, 1)   (4, 1)           (2, 4, 2)   (4, 4)           (4, 2, 2)   (4, 4)                    
where N 1  and N 2  respectively are a number of antenna ports with a polarization (P 1  or P 2 ) in first and second dimensions of each of the antenna panels, and O 1  and O 2  are oversampling factors in the first and second dimensions, respectively, and N 1 , N 2 , O 1  and O 2  are used to obtain a set of two-dimensional discrete Fourier transform (DFT) beams, v l,m  where l=0,1, . . . , O 1 N 1 , m=0,1, . . . , O 2 N 2 , and
 
     
       
         
           
             
               u 
               m 
             
             = 
             
               { 
               
                 
                   
                     
                       
                         [ 
                         
                           
                             
                               1 
                             
                             
                               
                                 e 
                                 
                                   j 
                                   ⁢ 
                                   
                                     
                                       2 
                                       ⁢ 
                                       π 
                                       ⁢ 
                                       m 
                                     
                                     
                                       
                                         O 
                                         2 
                                       
                                       ⁢ 
                                       
                                         N 
                                         2 
                                       
                                     
                                   
                                 
                               
                             
                             
                               … 
                             
                             
                               
                                 e 
                                 
                                   
                                     j 
                                     ⁢ 
                                     
                                       
                                         2 
                                         ⁢ 
                                         π 
                                         ⁢ 
                                         
                                           m 
                                           ⁡ 
                                           ( 
                                           
                                             
                                               N 
                                               2 
                                             
                                             - 
                                             1 
                                           
                                           ) 
                                         
                                       
                                       
                                         
                                           O 
                                           2 
                                         
                                         ⁢ 
                                         
                                           N 
                                           2 
                                         
                                       
                                     
                                   
                                   ] 
                                 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           N 
                           2 
                         
                         &gt; 
                         1 
                       
                     
                   
                   
                     
                       1 
                     
                     
                       
                         
                           N 
                           2 
                         
                         = 
                         1 
                       
                     
                   
                 
                 . 
               
             
           
         
       
       
         
           
             
               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 
             
           
         
       
     
     In various embodiments, for the first codebook mode, the codebook for generating the CSI feedback for N g =2,4 is constructed using vectors: 
     
       
         
           
             
               
                 
                   
                     
                       
                         
                           W 
                           
                             l 
                             , 
                             m 
                             , 
                             p 
                             , 
                             n 
                           
                           
                             1 
                             , 
                             2 
                             , 
                             1 
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 P 
                                 
                                   CSI 
                                   - 
                                   RS 
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                       , 
                       
                         
                           W 
                           
                             l 
                             , 
                             m 
                             , 
                             p 
                             , 
                             n 
                           
                           
                             2 
                             , 
                             2 
                             , 
                             1 
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 P 
                                 
                                   CSI 
                                   - 
                                   RS 
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                       , 
                     
                   
                 
                 
                   
                     
                       
                         
                           W 
                           
                             l 
                             , 
                             m 
                             , 
                             p 
                             , 
                             n 
                           
                           
                             1 
                             , 
                             4 
                             , 
                             1 
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 P 
                                 
                                   CSI 
                                   - 
                                   RS 
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                       , 
                       
                         
                           W 
                           
                             l 
                             , 
                             m 
                             , 
                             p 
                             , 
                             n 
                           
                           
                             2 
                             , 
                             4 
                             , 
                             1 
                           
                         
                         = 
                         
                           
                             1 
                             
                               
                                 P 
                                 
                                   CSI 
                                   - 
                                   RS 
                                 
                               
                             
                           
                           [ 
                           
                             
                               
                                 
                                   v 
                                   
                                     l 
                                     , 
                                     m 
                                   
                                 
                               
                             
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       1 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       2 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                             
                               
                                 
                                   - 
                                   
                                     φ 
                                     n 
                                   
                                   ⁢ 
                                   
                                     φ 
                                     
                                       p 
                                       3 
                                     
                                   
                                   ⁢ 
                                   
                                     v 
                                     
                                       l 
                                       , 
                                       m 
                                     
                                   
                                 
                               
                             
                           
                           ] 
                         
                       
                       , 
                     
                   
                 
               
               ; 
             
             ⁢ 
             
 
             
               
                 where 
                 ⁢ 
                     
                 p 
               
               = 
               
                 { 
                 
                   
                     
                       
                         
                           p 
                           1 
                         
                       
                       
                         
                           
                             N 
                             g 
                           
                           = 
                           2 
                         
                       
                     
                     
                       
                         
                           [ 
                           
                             
                               
                                 
                                   p 
                                   1 
                                 
                               
                               
                                 
                                   p 
                                   2 
                                 
                               
                               
                                 
                                   
                                     p 
                                     3 
                                   
                                   ] 
                                 
                               
                             
                           
                         
                       
                       
                         
                           
                             N 
                             g 
                           
                           = 
                           4 
                         
                       
                     
                   
                   , 
                 
               
             
           
         
       
     
     and for the second codebook mode, the codebook for generating the CSI feedback for N g =2 is constructed using vectors: 
     
       
         
           
             
               
                 W 
                 
                   l 
                   , 
                   m 
                   , 
                   p 
                   , 
                   n 
                 
                 
                   1 
                   , 
                   2 
                   , 
                   2 
                 
               
               = 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         - 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         
                           φ 
                           
                             n 
                             0 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             2 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
             
 
             
               
                 W 
                 
                   l 
                   , 
                   m 
                   , 
                   p 
                   , 
                   n 
                 
                 
                   2 
                   , 
                   2 
                   , 
                   2 
                 
               
               = 
               
                 
                   1 
                   
                     
                       P 
                       
                         CSI 
                         - 
                         RS 
                       
                     
                   
                 
                 [ 
                 
                   
                     
                       
                         v 
                         
                           l 
                           , 
                           m 
                         
                       
                     
                   
                   
                     
                       
                         - 
                         
                           φ 
                           
                             n 
                             0 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           a 
                           
                             p 
                             1 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             1 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                   
                     
                       
                         - 
                         
                           a 
                           
                             p 
                             2 
                           
                         
                         ⁢ 
                         
                           b 
                           
                             n 
                             2 
                           
                         
                         ⁢ 
                         
                           v 
                           
                             l 
                             , 
                             m 
                           
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
             
               where 
               : 
                   
               
                 
                   
                     
                       p 
                       [ 
                       
                         
                           
                             
                               p 
                               1 
                             
                           
                           
                             
                               
                                 p 
                                 2 
                               
                               ] 
                             
                           
                         
                       
                     
                   
                 
                 
                   
                     
                       n 
                       = 
                       
                         [ 
                         
                           
                             
                               
                                 n 
                                 0 
                               
                             
                             
                               
                                 n 
                                 1 
                               
                             
                             
                               
                                 
                                   n 
                                   2 
                                 
                                 ] 
                               
                             
                           
                         
                       
                     
                   
                 
               
             
             , 
           
         
       
     
     n, n 0 =0,1,2,3; p 1 , p 2 , p 3 =0,1,2,3; n 1 ,n 2 =0,1; and P CSI-RS  is the number of antenna ports, and
         φ n =e jπn/2      a p =e jπ/4 e jπp/2      b n =e −jπ/4 e jπn/2          

     At step  1420 , the UE generates the CSI feedback using the identified codebook. In one embodiment, the CSI feedback includes a pre-coding matrix indicator (PMI) that includes PMI indices i 1,1 , i 1,2 , i 1,3 , i 1,4 , and i 2 . 
     In one example for 1-layer CSI feedback: for the first codebook mode, the codebook comprises pre-coding matrices: W l,m,p,n   (1) =W l,m,p,n   1,N     g     ,1 , and for the second codebook mode, the codebook comprises pre-coding matrices: W l,m,p,n   (1) =W l,m,p,n   1,N     g     ,2 . 
     In one example for 2-layer CSI feedback: for the first codebook mode, the codebook comprises pre-coding matrices: 
     
       
         
           
             
               
                 W 
                 
                   l 
                   , 
                   
                     l 
                     ′ 
                   
                   , 
                   m 
                   , 
                   
                     m 
                     ′ 
                   
                   , 
                   p 
                   , 
                   n 
                 
                 
                   ( 
                   2 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           l 
                           , 
                           m 
                           , 
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                           , 
                           p 
                           , 
                           n 
                         
                         
                           2 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     and for the second codebook mode, the codebook comprises pre-coding matrices: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 2 
                 ) 
               
             
             = 
             
               
                 
                   1 
                   
                     2 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           l 
                           , 
                           m 
                           , 
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           2 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                           , 
                           p 
                           , 
                           n 
                         
                         
                           2 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           2 
                         
                       
                     
                   
                 
                 ] 
               
               . 
             
           
         
       
     
     In one example for 3-layer CSI feedback: for the first codebook mode, the codebook comprises pre-coding matrices: 
     
       
         
           
             
               
                 W 
                 
                   l 
                   , 
                   
                     l 
                     ′ 
                   
                   , 
                   m 
                   , 
                   
                     m 
                     ′ 
                   
                   , 
                   p 
                   , 
                   n 
                 
                 
                   ( 
                   3 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     3 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           l 
                           , 
                           m 
                           , 
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                           , 
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           l 
                           , 
                           m 
                           , 
                           p 
                           , 
                           n 
                         
                         
                           2 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     and for the second codebook mode, the codebook comprises pre-coding matrices: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 3 
                 ) 
               
             
             = 
             
               
                 
                   1 
                   
                     3 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           l 
                           , 
                           m 
                           , 
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           2 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                           , 
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           2 
                         
                       
                     
                     
                       
                         W 
                         
                           l 
                           , 
                           m 
                           , 
                           p 
                           , 
                           n 
                         
                         
                           2 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           2 
                         
                       
                     
                   
                 
                 ] 
               
               . 
             
           
         
       
     
     In one example for 4-layer CSI feedback: for the first codebook mode, the codebook comprises pre-coding matrices: 
     
       
         
           
             
               
                 W 
                 
                   l 
                   , 
                   
                     l 
                     ′ 
                   
                   , 
                   m 
                   , 
                   
                     m 
                     ′ 
                   
                   , 
                   p 
                   , 
                   n 
                 
                 
                   ( 
                   4 
                   ) 
                 
               
               = 
               
                 
                   1 
                   
                     4 
                   
                 
                 [ 
                 
                   
                     
                       
                         W 
                         
                           l 
                           , 
                           m 
                           , 
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                           , 
                           p 
                           , 
                           n 
                         
                         
                           1 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           l 
                           , 
                           m 
                           , 
                           p 
                           , 
                           n 
                         
                         
                           2 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                     
                       
                         W 
                         
                           
                             l 
                             ′ 
                           
                           , 
                           
                             m 
                             ′ 
                           
                           , 
                           p 
                           , 
                           n 
                         
                         
                           2 
                           , 
                           
                             N 
                             g 
                           
                           , 
                           1 
                         
                       
                     
                   
                 
                 ] 
               
             
             , 
           
         
       
     
     and for the second codebook mode, the codebook comprises pre-coding matrices: 
     
       
         
           
             
               W 
               
                 l 
                 , 
                 
                   l 
                   ′ 
                 
                 , 
                 m 
                 , 
                 
                   m 
                   ′ 
                 
                 , 
                 p 
                 , 
                 n 
               
               
                 ( 
                 4 
                 ) 
               
             
             = 
             
               
                 1 
                 
                   4 
                 
               
               [ 
               
                 
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         p 
                         , 
                         n 
                       
                       
                         1 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         l 
                         , 
                         m 
                         , 
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                   
                     
                       W 
                       
                         
                           l 
                           ′ 
                         
                         , 
                         
                           m 
                           ′ 
                         
                         , 
                         p 
                         , 
                         n 
                       
                       
                         2 
                         , 
                         
                           N 
                           g 
                         
                         , 
                         2 
                       
                     
                   
                 
               
               ] 
             
           
         
       
     
     where: l=i 1,1 , m=i 1,2 , l′=i 1,1 +k 1 , m′=i 1,2 +k 2 , for the first codebook mode, 
     
       
         
           
             p 
             = 
             
               { 
               
                 
                   
                     
                       
                         
                           
                             p 
                             1 
                           
                           = 
                           
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                                 , 
                                 1 
                               
                             
                             = 
                             
                               i 
                               
                                 1 
                                 , 
                                 4 
                               
                             
                           
                         
                         , 
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         2 
                       
                     
                   
                   
                     
                       
                         [ 
                         
                           
                             
                               
                                 p 
                                 1 
                               
                             
                             
                               
                                 p 
                                 2 
                               
                             
                             
                               
                                 
                                   
                                     p 
                                     3 
                                   
                                   ] 
                                 
                                 = 
                                 
                                   [ 
                                   
                                     
                                       
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             4 
                                             , 
                                             1 
                                           
                                         
                                       
                                       
                                         
                                           i 
                                           
                                             1 
                                             , 
                                             4 
                                             , 
                                             2 
                                           
                                         
                                       
                                       
                                         
                                           
                                             
                                               
                                                 i 
                                                 
                                                   1 
                                                   , 
                                                   4 
                                                   , 
                                                   3 
                                                 
                                               
                                               ] 
                                             
                                             = 
                                             
                                               i 
                                               
                                                 1 
                                                 , 
                                                 4 
                                               
                                             
                                           
                                           , 
                                         
                                       
                                     
                                   
                                 
                               
                             
                           
                         
                       
                     
                     
                       
                         
                           N 
                           g 
                         
                         = 
                         4 
                       
                     
                   
                 
                 , 
               
             
           
         
       
     
     and n=i 2 , for the second codebook mode, N g =2, p=[p 1  p 2 ]=[i 1,4,1  i 1,4,2 ]=i 1,4 , and n=[n 0  n 1  n 2 ]=[i 2,0  i 2,1  i 2,2 ]=i 2 , i 1,1  and i 1,2  are PMI indices that indicate a first beam  V i 1,1 ,i 1,2 , i 1,3  is a PMI index that indicates a distance (k 1 , k 2 ) of a second beam  V i 1,1 +k 1 , i 1,2 +k 2  with respect to the first beam  V i 1,1 , i 1,2 , i 1,4  is a PMI index that indicates the wideband inter-panel co-phase, and i 2  is a PMI index that indicates: for the first codebook mode, a subband co-phase between two polarizations is common for all of the antenna panels, and for the second codebook mode, the subband co-phase between two polarizations of a first of the antenna panels (via i 2,0 ), and the subband inter-panel co-phase for each polarization a second of the antenna panels (via i 2,1 , i 2,2 ). 
     At step  1425 , the UE transmits the generated CSI feedback to the BS. In one embodiment, at step  1425 , the codebook corresponding to the first codebook mode is used to generate the CSI feedback based on a wideband inter-panel co-phase that is common for a plurality of subbands configured for the CSI feedback. In one embodiment, at step  1425 , the codebook corresponding to the second codebook mode is used to generate the CSI feedback based on at least one of (i) a wideband inter-panel co-phase that is common for the plurality of subbands, and (ii) a subband inter-panel co-phase for each of the plurality of subbands. 
     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. 
     None of the description in this application should be read as implying that any particular element, step, or function is an essential element that must be included in the claims scope. The scope of patented subject matter is defined only by the claims. Moreover, none of the claims are intended to invoke 35 U.S.C. § 112(f) unless the exact words “means for” are followed by a participle.