# Patent

## Title
Method and system for acquiring channel information

## Abstract

A method and system for acquiring channel information are disclosed in the present document, wherein the method includes: a base station and a User Equipment (UE) jointly saving a first codebook and at least a second codebook, and the first codebook being used for channel information quantization in various scenarios; the UE performing feedback of at least 2 Precoding Matrix Indicators (PMIs) to the base station, wherein, one PMI corresponds to one code word in the first codebook, all the other PMIs respectively correspond to different code words in a second codebook used currently, and all the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple or all subbands; and after receiving the PMIs fed back from the UE, the base station finding corresponding code words from the first codebook and the second codebook used currently, and acquiring the channel information.

## Background
CROSS-REFERENCE TO RELATED APPLICATIONS
This application is a U.S. national phase of PCT Application No. PCT/CN2011/075782 filed Jun. 15, 2011 which claims priority to Chinese Application No. 201010217598.1 filed Jun. 21, 2010, the disclosures of which are incorporated in their entirety by reference herein.
TECHNICAL FIELD
The present document relates to the field of communication, and particularly, to a method and system for acquiring channel information.
BACKGROUND OF THE RELATED ART
In a wireless communication system, a transmitting terminal and a receiving terminal use multiple antennas to acquire high rates in a spatial multiplexing way. Compared with the general spatial multiplexing method, an enhanced technique is the receiving terminal feeding back channel information to the transmitting terminal, and the transmitting terminal uses a transmission precoding technique according to the acquired channel information, which can enhance the transmission performance greatly. With regard to Single-User Multi-input Multi-output (SU-MIMO), channel characteristic vector information is used directly to perform precoding; and with regard to Multi-User Multi-input Multi-output (MU-MIMO), comparatively accurate information is required.
In the 3rd Generation Partnership Project (3GPP) Long Term Evolution (LTE), the feedback of channel information is mainly done by
a relatively simple feedback method of single codebook, and the performance of the transmission precoding technique of MIMO depends on the accuracy feedback from the codebook therein.
Here a basic principle of channel information quantization feedback based on the codebook is described briefly.
It is assumed that a limiting feedback channel capacity is B bps/Hz, the number of available code words is represented by N=2B. A characteristic vector space of channel matrix constitutes a codebook space ={F1F2, L, FN} through quantization. The transmitting terminal and the receiving terminal jointly save the codebook space  or produce the codebook space  in real time (the codebook space  is identical in the transmitting terminal and the receiving terminal). With regard to a channel H on which feedback of Channel State Information (CSI) is required to be performed, the receiving terminal selects a code word {circumflex over (F)} best matching with the channel H from the codebook space  according to a certain criterion, and feeds back a sequence number i of the code word {circumflex over (F)} (i.e. a sequence number of the code word) to the transmitting terminal. Here, the sequence number of code word is called as a Precoding Matrix Indicator (PMI) in the codebook. The transmitting terminal finds a corresponding precoding code word {circumflex over (F)} according to the sequence number i, thereby also acquiring the corresponding channel information. Wherein, {circumflex over (F)} indicates the characteristic vector information of the channel.
Generally, the codebook space  can further be divided into codebooks corresponding to multiple Ranks, and multiple code words corresponding to each Rank quantize precoding matrixes constituted by channel characteristic vectors under the Rank. Since the number of Ranks of the channel is equal to the number of nonzero characteristic vectors, when the number of Ranks is N, there will be N columns of the code words generally. Therefore, the codebook space  can be divided into multiple sub-codebooks according to the different Ranks, as shown in Table 1.







TABLE 1







A schematic of dividing codebooks into multiple sub-codebooks according


to Ranks


 


Number of layers ν (Rank)










1
2
. . .
N





  1
  2
. . .
  N


Code word vector
Code word matrix

Code word matrix


set with column number 1
set with column

set with column



number 2

number N









Wherein, when Rank>1, the code words required to be stored are all in a matrix form, wherein this feedback method of codebook quantization is used for the codebooks in an LTE protocol. LTE downlink 4-transmitting antenna codebooks are as shown in Table 2, and the limitation of precoding codebook and channel information quantization codebook are identical in fact in LTE. Hereinafter, for the sake of uniformity, the vectors also can be regarded as a matrix whose dimensionality is 1.







TABLE 2







A schematic of LTE downlink 4-transmitting antenna codebook









Codebook

Total number of layers υ












index
un
1
2
3
4















0
u0 = [1 −1 −1 −1]T
W0{1}
W0{14}/{square root over (2)}
W0{124}/{square root over (3)}
W0{1234}/2


1
u1 = [1 −j 1 j]T
W1{1}
W1{12}/{square root over (2)}
W1{123}/{square root over (3)}
W1{1234}/2


2
u2 = [1 1 −1 1]T
W2{1}
W2{12}/{square root over (2)}
W2{123}/{square root over (3)}
W2{3214}/2


3
u3 = [1 j 1 −j]T
W3{1}
W3{12}/{square root over (2)}
W3{123}/{square root over (3)}
W3{3214}/2


4
u4 = [1 (−1 − j)/{square root over (2)} −j (1 − j)/{square root over (2)}]T
W4{1}
W4{14}/{square root over (2)}
W4{124}/{square root over (3)}
W4{1234}/2


5
u5 = [1 (1 − j)/{square root over (2)} j (−1 − j)/{square root over (2)}]T
W5{1}
W5{14}/{square root over (2)}
W5{124}/{square root over (3)}
W5{1234}/2


6
u6 = [1 (1 + j)/{square root over (2)} −j (−1 + j)/{square root over (2)}]T
W6{1}
W6{13}/{square root over (2)}
W6{134}/{square root over (3)}
W6{1324}/2


7
u7 = [1 (−1 + j)/{square root over (2)} j (1 + j)/{square root over (2)}]T
W7{1}
W7{13}/{square root over (2)}
W7{134}/{square root over (3)}
W7{1324}/2


8
u8 = [1 −1 1 1]T
W8{1}
W8{12}/{square root over (2)}
W8{124}/{square root over (3)}
W8{1234}/2


9
u9 = [1 −j −1 −j]T
W9{1}
W9{14}/{square root over (2)}
W9{134}/{square root over (3)}
W9{1234}/2


10
u10 = [1 1 1 −1]T
W10{1}
W10{13}/{square root over (2)}
W10{123}/{square root over (3)}
W10{1324}/2


11
u11 = [1 j −1 j]T
W11{1}
W11{13}/{square root over (2)}
W11{134}/{square root over (3)}
W11{1324}/2


12
u12 = [1 −1 −1 1]T
W12{1}
W12{12}/{square root over (2)}
W12{123}/{square root over (3)}
W12{1234}/2


13
u13 = [1 −1 1 −1]T
W13{1}
W13{13}/{square root over (2)}
W13{123}/{square root over (3)}
W13{1324}/2


14
u14 = [1 1 −1 −1]T
W14{1}
W14{13}/{square root over (2)}
W14{123}/{square root over (3)}
W14{3214}/2


15
u15 = [1 1 1 1]T
W15{1}
W15{12}/{square root over (2)}
W15{123}/{square root over (3)}
W15{1234}/2









Wherein, Wn=I−2ununH/unHun, I is a unit matrix, Wk(j) represents the jth column of vectors of the matrix Wk. Wk(j1j2. . . jn) represents a matrix constituted by the j1, j2, . . . , jn th column of the matrix Wk, and unH represents a conjugate transpose matrix of un; n represents a sequence number, and its values are 0 ̃15.
In an LTE standard, a minimum feedback object of the channel information is a Subband, the channel information can correspond to one Subband, or multiple Subbands, or all Subbands. One Subband consists of multiple physical Resource Blocks (RBs) defined by the LTE, and each RB consists of multiple Resource Elements (REs). An RE is the minimum unit (corresponding to the downlink resource allocation, wherein the minimum unit fed back in uplink is the Subband) of time-frequency resources in the LTE, and it continues to use a resource representation method of the LTE in the LTE-Advanced (LTE-A). All the Subbands under all the bandwidths are defined as Widebands, and multiple Subbands under part of the bandwidths are called as Multi-Subbands.
Certain contents related to the channel information feedback in the LTE will be introduced below, and the contents which are more concerned in the present document are Precoding Matrix Indicator (PMI) information of the channel.
The channel state information feedback includes: feedback of Channel Quality Indication (CQI), Precoding Matrix Indicator (PMI) and Rank Indicator (RI). Wherein,
The CQI is an index which measures the downlink channel quality. In the 36-213 protocol, the CQI is represented by integer values of 0 ̃15 which represent different CQI grades respectively, and different CQIs correspond to their respective Modulation and Coding Scheme (MCS).
The RI is used for describing the number of independent channels in the space and corresponds to a rank of a channel response matrix. A User Equipment (UE) is required to perform feedback of RI information in an open-loop spatial multiplexing mode and a closed-loop spatial multiplexing mode, and the RI information is not required to be fed back in other modes. The rank of channel matrix corresponds to a layer number.
The PMI information describes the characteristic vector information of the channel, and the UE reports the PMI information to a base station, which enables the base station to perform precoding better. The form of codebook feedback is used. This part of contents is also the most important contents of channel information feedback.
With the development of the communication technology, since the LTE-A has higher requirements on the spectrum efficiency, the number of antennas also increases to 8, and this requires designing 8-transmitting antenna codebook feedback to perform quantization feedback of the channel information. Moreover, in order to better support the MU-MIMO, the precision of the feedback also needs to be further enhanced. It is required to design a new codebook feedback scheme.
When it is 8-antenna, the application of dual-polarized antennas is more popularized, and single-polarized antennas also have certain application scenarios, thus it is required to design codebooks appropriate for dual-polarized channels and codebooks appropriate for single-polarized channels in the feedback technology.
In the related art, one idea is: changing the tradition that one 8-antenna codebook is constituted to perform feedback of the PMI channel information of the Subband, and instead, the UE feeding back one PMI1 corresponding to one 4-antenna codebook, and the base station finding a corresponding code word WPMI1 from the 4-antenna codebook; the UE also feeding back one PMI2, and the base station finding a corresponding code word WPMI2 from another 2-antenna codebook, and using the WPMI1 and WPMI2 to represent the channel information unitedly. The base station can combine the WPMI1 and WPMI2 according to an agreed function relationship and use the obtained matrix as the acquired channel information, what are obtained can be but not limited to one 8-antenna matrix, and the function relationship can be in a product form or a Kronecker product (whose operator is represented as ) form, and a principle thereof is as shown in FIG. 1.
4 antennas in the same polarization direction are equivalent to one virtual port (Virtual Port1), another 4 antennas in other polarization directions are equivalent to the other virtual port (Virtual Port2), which correspond to one 4-antenna codebook index PMI1 and one 2-antenna codebook index PMI2 respectively. According to the codebook indexes, the code word WPMI1 is found in the 4-antenna codebook and the code word WPMI2 is found in the 2-antenna codebook respectively, and thus, one 4-antenna codebook feedback and one 2-antenna codebook feedback replace one 8-antenna codebook feedback.
The characteristic vector information of the channel can be unitedly represented as:




  
    
      [
      
        
          
            
              WPMI
              ⁢
              
                
              
              ⁢
              1
            
          
          
            O
          
        
        
          
            O
          
          
            
              WPMI
              ⁢
              
                
              
              ⁢
              1
            
          
        
      
      ]
    
    ⁢
    WPMI
    ⁢
    
      
    
    ⁢
    2
  
  ;




wherein, O represents a zero matrix, WPMI2 represents one 2×1 matrix (when it is Rank1) or one 2×2 matrix (when it is Rank2), that is, it corresponds to the code words in one 2-antenna codebook, and the UE performs feedback in the form of 2-antenna codebook.
The inventor of the application discovers that following problems exist in the related art.
Since the WPMI1 corresponds to the code words of one 4-antenna codebook, 8-antenna channel information cannot be quantized independently, and it is necessary to have information of the code words in the 2-antenna codebook corresponding to the WPMI2, and the multi-precision feedback cannot be provided. In addition, this method has a certain applicability with regard to the dual-polarized channels, but it cannot be applied to the single-polarized channels.
Moreover, the quantization accuracy of the code words in the existing codebooks is also required to be improved.
SUMMARY OF THE INVENTION
The present document provides a method and system for acquiring channel information, and the technical problem required to be solved is how to provide a multi-precision method and system, which are appropriate for both dual-polarized channels and single-polarized channels, for acquiring channel information.
In order to solve the above technical problem, the present document provides a method for acquiring channel information, wherein, the method for acquiring the channel information is a multi-precision method for acquiring channel information, and the method comprises:
a base station and a User Equipment (UE) jointly saving a first codebook and at least a second codebook, and the first codebook being used for channel information quantization in various scenarios;
the UE performing feedback of at least 2 Precoding Matrix Indicators (PMIs) to the base station, wherein, one PMI corresponds to one code word in the first codebook, all the other PMIs respectively correspond to different code words in a second codebook used currently, and each code word corresponding to the PMI which is fed back is used for representing channel information of one or multiple or all subbands; and
after receiving the PMIs fed back from the UE, the base station finding corresponding code words from the first codebook and the second codebook used currently, and acquiring the channel information.
According to the above method,
the base station and the UE jointly save a second codebook, and this second codebook is the second codebook used currently; or
the base station and the UE jointly save multiple second codebooks used in different scenarios, the scenarios are relevant to a size of a rank, and after judging the size of the rank according to channel information, the UE determines a second codebook corresponding to the rank as the second codebook used currently; or
the base station and the UE jointly save multiple second codebooks used in different scenarios, and the UE determines the second codebook used currently according to indication information carried in a signaling sent by the base station; or
the base station and the UE jointly save multiple second codebooks used in different scenarios, and the UE selects the second codebook used currently and informs the base station.
According to the above method,
the base station and the UE jointly save two second codebooks used in different scenarios;
after judging the size of the rank according to the channel information, if the rank is 1, the UE determines one second codebook corresponding to the rank as the second codebook used currently, and if the rank is 2, the UE determines the other second codebook corresponding to the rank as the second codebook used currently.
According to the above method, in the step of the UE performing feedback of the PMIs to the base station, the PMIs fed back are one of following situations:
a number of the PMIs fed back is S+1, corresponding code words are one code word in the first codebook and S code words in the second codebook used currently, S pairs of code words obtained by combining the code word in the first codebook and each code word in the S code words are used for representing channel information of S subbands respectively, and S is an integer greater than 1; or
a number of the PMIs in the feedback is 2, and corresponding code words are one code word in the first codebook and one code word in the second codebook used currently, which are used for representing channel information of one subband; or
a number of the PMIs in the feedback is 2, and corresponding code words are one code word in the first codebook and one code word in the second codebook used currently, which are used for representing channel information of one wideband.
According to the above method,
code words in the first codebook can quantize channel information of 8 antennas independently, and code words in the second codebook are used for performing more precise quantization to the channel information based on the code words in the first codebook.
According to the above method,
one of the second codebooks jointly saved by the base station and the UE comprises the following 4 code words:




  
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or, one of the second codebooks jointly saved by the base station and the UE comprises the following 4 code words:




  
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                32
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  2
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  3
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              2
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          j
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            je
            
              j
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            je
            
              j
              ⁢
              
                
              
              ⁢
              2
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            je
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                π
                32
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              2
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            
              je
              
                j
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            
              je
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            
              je
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
      
    
    ]
  




or, one of the second codebooks jointly saved by the base station and the UE comprises the following 8 code words:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
        
      
      ]
    
    ,
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
        
      
      ]
    
    ,
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  φ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  φ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  φ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  φ
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                4
                ⁢
                
                  φ
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    φ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  2
                  ⁢
                  
                    φ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  3
                  ⁢
                  
                    φ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  2
                  ⁢
                  
                    φ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  3
                  ⁢
                  
                    φ
                    2
                  
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  4
                  ⁢
                  
                    φ
                    2
                  
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  φ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  φ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  φ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  φ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  φ
                  3
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                4
                ⁢
                
                  φ
                  3
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                4
                ⁢
                
                  φ
                  4
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  



or, one of the second codebooks jointly saved by the base station and the UE comprises: any two code words in




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  




plus any group in the following 2 groups of code words:
first group:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                4
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                4
                ⁢
                
                  a
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        π
        16
      
    
    ,
    
      
        
          a
          2
        
        =
        
          
            -
            π
          
          16
        
      
      ;
    
  



second group:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jθ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jθ
                2
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          θ
          1
        
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        θ
        2
      
      =
      
        
          
            
              -
              3
            
            ⁢
            π
          
          32
        
        .
      
    
  



According to the above method,
one of the two second codebooks comprises the following code words:




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  




the other second codebook comprises the following code words:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
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              e
              
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              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
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              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  



or,
one of the two second codebooks comprises the following code words:




  
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
                    1
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              O
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    1
                  
                
              
            
          
        
        ]
      
      ⁡
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              O
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    2
                  
                
              
            
          
        
        ]
      
    
    ⁡
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  3
                
              
            
          
        
      
      ]
    
  
  ⁢
  
     
    
      
        
          
            [
            
              
                
                  1
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      
                        θ
                        4
                      
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  O
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      7
                      ⁢
                      
                        θ
                        4
                      
                    
                  
                
              
            
            ]
          
          ⁢
          
            

          
          ⁢
          wherein
          ⁢
          
            :
          
          ⁢
          
            
          
          ⁢
          
            θ
            1
          
        
        =
        
          
            -
            π
          
          64
        
      
      ,
      
        
          θ
          2
        
        =
        
          
            
              -
              3
            
            ⁢
            π
          
          64
        
      
      ,
      
        
          θ
          3
        
        =
        
          
            3
            ⁢
            π
          
          64
        
      
      ,
      
        
          
            θ
            4
          
          =
          
            π
            64
          
        
        ;
      
    
  




the other second codebook comprises the following code words:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
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                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
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                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  φ
                  4
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  φ
                  4
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        a
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        a
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        a
        4
      
      =
      
        
          π
          32
        
        .
      
    
  



Accordingly, the present document provides a system for acquiring channel information, wherein, the system for acquiring the channel information is a multi-precision system for acquiring channel information, and the system comprises a base station and a User Equipment (UE), wherein:
the base station comprises:
a storage module, which is configured to: save a first codebook and at least a second codebook, wherein the first codebook is used for channel information quantization in various scenarios; and
a channel information acquisition module, which is configured to: after receiving Precoding Matrix Indicators (PMIs) fed back from the UE, find corresponding code words from the first codebook and a second codebook used currently, and acquire the channel information;
the UE comprises:
a storage module, which is configured to: save a first codebook and at least a second codebook identical with the first codebook and the second codebook of the base station; and
a channel information feedback module, which is configured to: perform feedback of at least 2 PMIs to the base station, wherein, one PMI corresponds to one code word in the first codebook, all the other PMIs respectively correspond to different code words in a second codebook used currently, and each code word corresponding to the PMIs which is fed back is used for representing channel information of one or multiple subbands.
According to the above system,
the storage module of the base station and the storage module of the UE jointly save a second codebook, and this second codebook is the second codebook used currently; or
the storage module of the base station and the storage module of the UE jointly save multiple second codebooks used in different scenarios, the scenarios are relevant to a size of a rank, the UE further comprises a judgment module, and the judgment module is configured to: after judging the size of the rank according to channel information, determine a second codebook corresponding to the rank as the second codebook used currently; or
the storage module of the base station and the storage module of the UE jointly save multiple second codebooks used in different scenarios, the UE further comprises a judgment module, and the judgment module is configured to: determine the second codebook used currently according to indication information carried in a signaling sent by the base station; or
the storage module of the base station and the storage module of the UE jointly save multiple second codebooks used in different scenarios, the UE further comprises a selection module, and the selection module is configured to: select the second codebook used currently and inform the base station.
Accordingly, the present document provides a base station which comprises:
a storage module, which is configured to: save a first codebook and at least a second codebook;
a receiving module, which is configured to: receive at least 2 Precoding Matrix Indicators (PMIs) fed back from a User Equipment (UE) to the base station and send the PMIs to a channel information acquisition module, wherein, one PMI corresponds to one code word in the first codebook, which is identical with o the first codebook stored by the base station, stored by the UE, all the other PMIs respectively correspond to different code words in the second codebook used currently, which are identical with the second codebook stored by the base station, stored by the UE, and each code word corresponding to the fed back PMIs is used for representing channel information of one or multiple subbands; and
the channel information acquisition module, wherein the channel information acquisition module is configured to: after obtaining the PMIs in the feedback from the UE, find corresponding code words from the first codebook and the second codebook used currently, and acquire the channel information.
Another problem to be solved in this document is how to provide a multi-precision method for performing feedback of channel information, and thus improve the quantization precision.
To solve the above technical problem, the present document further provides a method for performing feedback of the channel information and this method is a multi-precision method for performing feedback of channel information, and the method comprises:
a UE feeding back multiple Precoding Matrix Indicators (PMIs) to a base station, wherein, one PMI corresponds to one code word in a first codebook used currently, other PMIs respectively correspond to one code word in a second codebook used currently, and the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple or all subbands;
the second codebook comprises the following code words:




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
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    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
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      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
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            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
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    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
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            -
            j
          
        
      
    
    ]
  




or, the second codebook comprises the following 4 code words:




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
              
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
              
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  3
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
              
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          j
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  π
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  π
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  π
                  32
                
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
              
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
      
    
    ]
  




or, the second codebook comprises the following 8 code words:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
        
      
      ]
    
    ,
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
        
      
      ]
    
    ,
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  



or, the second codebook comprises: any two code words in




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  




plus any group in the following 2 groups of code words:
first group:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        π
        16
      
    
    ,
    
      
        
          a
          2
        
        =
        
          
            -
            π
          
          16
        
      
      ;
    
  



second group:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          θ
          1
        
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        θ
        2
      
      =
      
        
          
            
              -
              3
            
            ⁢
            π
          
          32
        
        .
      
    
  



To improve the quantization precision, the present document further provides a method for performing feedback of channel information, wherein, the method for performing feedback of the channel information is a multi-precision method for performing feedback of channel information, and the method comprises:
a base station and a UE jointly saving two second codebooks used in different scenarios; and
after judging a size of a rank according to the channel information, if the rank is 1, the UE using one second codebook corresponding to the rank as a second codebook used currently, and if the rank is 2, the UE using the other second codebook corresponding to the rank as a second codebook used currently;
one of the two second codebooks comprises the following code words:




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  




the other second codebook comprises the following code words:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
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              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
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              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  



or,
one of the two second codebooks comprises the following code words:




  
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
                    1
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              O
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    1
                  
                
              
            
          
        
        ]
      
      ⁡
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              O
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    2
                  
                
              
            
          
        
        ]
      
    
    ⁡
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  3
                
              
            
          
        
      
      ]
    
  
  ⁢
  
     
    
      
        
          
            [
            
              
                
                  1
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      
                        θ
                        4
                      
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  O
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      7
                      ⁢
                      
                        θ
                        4
                      
                    
                  
                
              
            
            ]
          
          ⁢
          
            

          
          ⁢
          wherein
          ⁢
          
            :
          
          ⁢
          
            
          
          ⁢
          
            θ
            1
          
        
        =
        
          
            -
            π
          
          64
        
      
      ,
      
        
          θ
          2
        
        =
        
          
            
              -
              3
            
            ⁢
            π
          
          64
        
      
      ,
      
        
          θ
          3
        
        =
        
          
            3
            ⁢
            π
          
          64
        
      
      ,
      
        
          
            θ
            4
          
          =
          
            π
            64
          
        
        ;
      
    
  




the other second codebook comprises the following code words:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        a
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        a
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        a
        4
      
      =
      
        
          π
          32
        
        .
      
    
  



In the method for acquiring the channel information provided by the present document, multi-precision and multi-codebook joint feedback is used, which is appropriate for both dual-polarized channels and single-polarized channels, and the code words of the second codebook can be specially set to enhance the quantization precision.



BRIEF DESCRIPTION OF DRAWINGS
FIG. 1 is a schematic diagram of the method for acquiring PMI channel information of subband in the related art.
FIG. 2 is a flow diagram of the method according to the example 1 of the present document.
FIG. 3 is a flow diagram of the method according to the example 2 of the present document.



PREFERRED EMBODIMENTS OF THE PRESENT INVENTION
In order to make the object, technical scheme and advantages of the present document more clear, the examples of the present document will be described in detail in combination with the accompanying drawings below. It should be noted that the examples in the present document and the characteristics in the examples can be optionally combined with each other in the condition of no conflict.
Example 1
As shown in FIG. 2, the flow of the method in the example includes the following steps.
In step 210, a base station and a User Equipment (UE) jointly save an 8-antenna codebook C1 and another codebook C2.
In the example, the codebook C1 is a codebook uniformly applicable to various scenarios of single-polarized antennas and dual-polarized antennas and so on. Code words in the codebook C1 can quantize code words of channel information of 8 antennas independently. Code words in the codebook C2 are used for performing more accurate quantization on the channel information based on the code words in the codebook C1. In the present document, the codebook C1 also can be called as a first codebook, and the codebook C2 also can be called as a second codebook.
In step 220, the UE feeds at least 2 PMIs back to the base station, wherein, one PMI corresponds to one code word W1 in the codebook C1, every other PMI corresponds to one code word C2 in the codebook C2 (that is, all the other PMIs respectively correspond to different code words W2 in the codebook C2), and all the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple or all subbands.
In a communication system, the UE generally performs estimation on channels to obtain channel information of each RE or RB or Subband through downlink pilot measurement. After obtaining comparatively accurate channel information, the UE judges an RI of the current channel, and selects the W1 which represents channel information (mainly characteristic vector information) of a Wideband from the codebook C1 according to the channel information. Since the size of the codebook C1 is limited, the W1 is channel quantization information with limited precision and is appropriate for representing the channel information of the Wideband.
The UE can select at least one W2 from the codebook C2 according to the channel information, and the W2 cannot represent the channel information independently, but if the W2 and W1 are used, the channel information of one Subband or Multi-Subband or Wideband can be represented more accurately, which enhances the feedback precision based on the W1.
The UE performing feedback of the PMIs corresponding to the W1 and W2 and representing the channel information to the base station can be:
performing feedback of S+1 PMIs, corresponding to 1 W1 and S W2, and S pairs of code words obtained by combining the W1 and each W2 respectively representing the channel information of one Subband, wherein S is an integer greater than 1;
performing feedback of 2 PMIs, corresponding to 1 W1 and 1 W2, and representing the channel information one Subband;
performing feedback of 2 PMIs, corresponding to 1 W1 and 1 W2, and representing the channel information the Wideband.
In step 230, after receiving the code words in the feedback from the UE, the base station finds the corresponding W1 and W2 from the codebook C1 and codebook C2, and obtains the channel information.
The obtaining of the channel information according to the code words can refer to the descriptions in the background of the related art.
In one example, the codebook C1 jointly saved by the base station and the terminal is shown as follows, and the present document is not limited to this.












Index
U
K

















0
u0




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


1
u1




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


2
u2




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


3
u3




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


4
u4




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


5
u5




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


6
u6




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


7
u7




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


8
u8




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


9
u9




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


10
u10




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


11
u11




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


12
u12




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


13
u13




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


14
u14




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  






 


15
u15




   
  
    [
    
      
        
          1
        
        
          1
        
      
      
        
          
            -
            1
          
        
        
          1
        
      
    
    ]
  













The definitions of u0 ̃u15 are the same as the definitions in the LTE codebooks in the background of the related art.
The code words corresponding to different Ranks in the codebook C1 are as shown in the following table.












Index
Rank1
Rank 2

















0
M0(:, 1)
[M0(:, 1) M0(:, 5)]


1
M1(:, 1)
[M1(:, 1) M1(:, 5)]


2
M2(:, 1)
[M2(:, 1) M2(:, 5)]


3
M3(:, 1)
[M3(:, 1) M3(:, 5)]


4
M4(:, 1)
[M4(:, 1) M4(:, 5)]


5
M5(:, 1)
[M5(:, 1) M5(:, 5)]


6
M6(:, 1)
[M6(:, 1) M6(:, 5)]


7
M7(:, 1)
[M7(:, 1) M7(:, 5)]


8
M8(:, 1)
[M8(:, 1) M8(:, 5)]


9
M9(:, 1)
[M9(:, 1) M9(:, 5)]


10
M10(:, 1)
[M10(:, 1) M10(:, 5)]


11
M11(:, 1)
[M11(:, 1) M11(:, 5)]


12
M12(:, 1)
[M12(:, 1) M12(:, 5)]


13
M13(:, 1)
[M13(:, 1) M13(:, 5)]


14
M14(:, 1)
[M14(:, 1) M14(:, 5)]


15
M15(:, 1)
[M15(:, 1) M15(:, 5)]









Wherein, Mn=KnWn, n=0 . . . 15, Wn=I−2ununH/unHun, I is a unit matrix, and unH represents a conjugate transpose matrix of un, Mn(:, j) represents the jth column of vectors of the matrix Mn. [Mn (:, j1) Mn (:, j2)] represents a matrix constituted by the j1, j2th column of matrix Mn.
In one example, the codebook C2 includes the following 4 code words which are appropriate for both dual-polarized channels and single-polarized channels:




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  




In another example, the codebook C2 includes the following 4 code words which are appropriate for both dual-polarized channels and single-polarized channels:




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
              
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
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              j
              ⁢
              
                
              
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                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
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                32
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    
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    ⁢
    
      

    
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  ,
  
    

  
  ⁢
  
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    ]
  




In another example, the codebook C2 includes the following 8 code words which are appropriate for both dual-polarized channels and single-polarized channels:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
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      ]
    
    ,
    
      
        [
        
          
            
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              j
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
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              -
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      ⁢
      
        

      
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                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        4
      
      =
      
        
          π
          32
        
        .
      
    
  



In another example, the codebook C2 includes: any two code words in




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  




plus any group in the following 2 groups of code words:
first group:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                2
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                2
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                2
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                2
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                2
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                2
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        π
        16
      
    
    ,
    
      
        
          φ
          2
        
        =
        
          
            -
            π
          
          16
        
      
      ;
    
  



second group:




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                θ
                1
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          O
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              7
              ⁢
              
                θ
                1
              
            
          
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  2
                
              
            
          
        
      
      ]
    
    ⁢
    
       
      
        

      
      ⁢
      
        
          
            wherein
            ⁢
            
              :
            
            ⁢
            
              
            
            ⁢
            
              θ
              1
            
          
          =
          
            
              3
              ⁢
              π
            
            32
          
        
        ,
        
          
            θ
            2
          
          =
          
            
              
                
                  -
                  3
                
                ⁢
                π
              
              32
            
            .
          
        
      
    
  




A system for acquiring channel information provided by the example includes a base station and a User Equipment (UE), wherein:
the base station comprises:
a storage module, which is configured to: save a first codebook and a second codebook, wherein the first codebook is used for channel information quantization in various scenarios, code words in the first codebook can quantize channel information of 8 antennas independently, and code words in the second codebook are used for performing more precise quantization to the channel information based on the code words in the first codebook, wherein the second codebook is a second codebook used currently; and
a channel information acquisition module, which is configured to: after obtaining Precoding Matrix Indicators (PMIs) fed back from the UE, find the corresponding code words from the first codebook and the second codebook used currently, and acquire the channel information;
the UE includes:
a storage module, which is configured to: save a first codebook and a second codebook identical with the first codebook and the second codebook of the base station; and
a channel information feedback module, which is configured to: perform feedback of at least 2 PMIs to the base station, wherein, one PMI corresponds to one code word in the first codebook, every other PMI corresponds to one code word in the second codebook used currently (that is, all the other PMIs respectively correspond to different code words W2 in a codebook C2), and all the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple subbands.
The specific codebooks may refer to the above descriptions.
The example also provides a base station, and the base station includes:
a storage module, which is configured to: save a first codebook and a second codebook, wherein the first codebook is used for channel information quantization in various scenarios, code words in the first codebook can quantize channel information of 8 antennas independently, and code words in the second codebook are used for performing more precise quantization to the channel information based on the code words in the first codebook, wherein the second codebook is a second codebook used currently;
a receiving module, which is configured to: receive at least 2 Precoding Matrix Indicators (PMIs) fed back from a User Equipment (UE) to the base station and send the PMIs to a channel information acquisition module, wherein, one PMI corresponds to one code word in the first codebook, which is identical with the first codebook stored by the base station, all the other PMIs respectively correspond to different code words in the second codebook currently used and stored by the UE, which are identical with the second codebook stored by the base station, and all the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple subbands; and
the channel information acquisition module, which is configured to: after obtaining the PMIs fed back from the UE, find the corresponding code words from the first codebook and the second codebook used currently, and acquire the channel information.
The specific codebooks may refer to the above descriptions.
Example 2
As shown in FIG. 3, the flow of the method in the example includes the following steps.
In step 310, a base station and a User Equipment (UE) jointly save an 8-antenna codebook C1, and multiple codebooks C2-1 ̃C2-n used in different scenarios.
The codebook C1 in the example is the same as the codebook C1 in the example 1. Code words in the codebooks C2-1 ̃C2-n are also used for performing more accurate quantization on the channel information based on code words in the codebook C1. Similarly, the codebook C1 also can be called as a first codebook, the codebooks C2-1 ̃C2-n also can be called as a second codebook, and a codebook C2 is used to represent a second codebook used currently in the example.
In step 320, the UE determines the size of a RANK according to the channel information, and selects one codebook corresponding to the RANK from the codebooks C2-1 ̃C2-n to serve as the second codebook C2 used currently.
In the example, the scenarios corresponding to the codebooks C2-1 ̃C2-n are related to the size of the RANK.
In one example, the base station and UE jointly save two codebooks, namely a codebook C2-1 and a codebook C2-2, used in different scenarios, and the UE can use different codebooks such as the codebook C2-1 and the codebook C2-2 with the same dimensionality according to different Ranks: when Rank=1, using the codebook C2-1, selecting an appropriate code word W2 from the codebook C2-1, and using the W2 and a W1 to unitedly represent the channel information; when Rank=2, using the codebook C2-2, selecting an appropriate code word W2 from the codebook C2-2, and using the W2 and a W1 to unitedly represent the channel information. For example, the codebook C2-1 can be a codebook appropriate for the feedback enhancement of single-polarized antennas, and the codebook C2-2 can be a codebook appropriate for the feedback enhancement of dual-polarized antennas. The reason is that the chief scenario in which the Rank1 appears is the single polarization and the chief scenario in which the Rank2 appears is the dual polarization.
In step 330, the step is the same as the step 220 in the example 1.
In step 340, the step is the same as the step 230 in the example 1.
In one example of the example, part or all of code words in the codebook C2-1 belong to the codebook in the following model:




  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
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          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
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      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
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            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
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    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
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            -
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            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  




part or all of code words in the codebook C2-2 belong to the codebook in the following model:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
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                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
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                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
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                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
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                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
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                j2φ
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              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
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              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
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                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
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                j2φ
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                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        4
      
      =
      
        
          π
          32
        
        .
      
    
  



In another example, part or all of code words in the codebook C2-1 belong to the codebook in the following model:




  
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
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                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    1
                  
                
              
            
          
        
        ]
      
      ⁡
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
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                  j
                  ⁢
                  
                    
                  
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                  ⁢
                  
                    θ
                    2
                  
                
              
            
          
        
        ]
      
    
    ⁡
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
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                j
                ⁢
                
                  
                
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      ]
    
  
  ⁢
  
     
    
      
        
          
            [
            
              
                
                  1
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
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                      ⁢
                      
                        
                      
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            ]
          
          ⁢
          
            

          
          ⁢
          wherein
          ⁢
          
            :
          
          ⁢
          
            
          
          ⁢
          
            θ
            1
          
        
        =
        
          
            -
            π
          
          64
        
      
      ,
      
        
          θ
          2
        
        =
        
          
            
              -
              3
            
            ⁢
            π
          
          64
        
      
      ,
      
        
          θ
          3
        
        =
        
          
            3
            ⁢
            π
          
          64
        
      
      ,
      
        
          
            θ
            4
          
          =
          
            π
            64
          
        
        ;
      
    
  




the codebook C2-2 is a codebook including the following code words:



  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        4
      
      =
      
        
          π
          32
        
        .
      
    
  



A system for acquiring channel information provided by the example includes a base station and a User Equipment (UE), wherein:
the base station comprises:
a storage module, which is configured to: save a first codebook and multiple second codebooks, wherein the first codebook is used for channel information quantization in various scenarios, code words in the first codebook can quantize channel information of 8 antennas independently, and code words in the second codebooks are used for performing more precise quantization to the channel information based on the code words in the first codebook; and
a channel information acquisition module, which is configured to: after receiving Precoding Matrix Indicators (PMIs) fed back from the UE, find the corresponding code words from the first codebook and a second codebook used currently, and acquire the channel information;
the UE includes:
a storage module, which is configured to: save a first codebook and multiple second codebooks identical with the first codebook and multiple second codebooks of the base station;
a channel information feedback module, which is configured to: perform feedback of at least 2 PMIs to the base station, wherein, one PMI corresponds to one code word in the first codebook, every other PMI corresponds to one code word in the second codebook used currently (that is, all the other PMIs respectively correspond to different code words W2 in a codebook C2), and all the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple subbands; and
a judgment module, which is configured to: after judging the size of a rank according to the channel information, determine a second codebook corresponding to the rank as the second codebook used currently. In one example, when the storage module of the base station and the storage module of the UE jointly save a second codebook used for the feedback enhancement of single-polarized antennas and a second codebook used for the feedback enhancement of dual-polarized antennas, the judgment module is configured to determine the size of the rank according to the channel information, if the rank is 1, the second codebook used for the feedback enhancement of single-polarized antennas is determined as the second codebook used currently, and if the rank is 2, the second codebook used for the feedback enhancement of dual-polarized antennas is determined as the second codebook used currently.
Example 3
The example is basically identical with the example 2, a base station and a UE jointly save multiple codebooks C2-1 ̃C2-n, n>1. The difference is: the base station carrying indication information that which codebook in the codebooks C2-1 ̃C2-n is the codebook C2 used currently through a top layer signaling, for example, identification information of a codebook C2-j required to be used currently is carried, 1<=j<=n. The UE determines the codebook C2 required to be used according to the indication information. That is, the same codebook C2 is used with regard to both the Rank1 and Rank2 in the example.
A system for acquiring channel information provided by the example includes a base station and a User Equipment (UE), wherein:
the base station comprises:
a storage module, which is configured to: save a first codebook and multiple second codebooks, wherein, the first codebook is used for channel information quantization in various scenarios, code words in the first codebook can quantize channel information of 8 antennas independently, and code words in the second codebooks are used for performing more precise quantization to the channel information based on the code words in the first codebook; and
a channel information acquisition module, which is configured to: after receiving Precoding Matrix Indicators (PMIs) fed back from the UE, find the corresponding code words from the first codebook and a second codebook used currently, and acquire the channel information;
the UE includes:
a storage module, which is configured to: save a first codebook and multiple second codebooks identical with the first codebook and multiple second codebooks of the base station;
a channel information feedback module, which is configured to: perform feedback of at least 2 PMIs to the base station, wherein, one PMI corresponds to one code word in the first codebook, all the other PMIs respectively correspond to different code words in a second codebook used currently, and all the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple subbands; and
a judgment module, which is configured to: determine the second codebook used currently according to the indication information carried in the signaling sent by the base station.
It is easily conceived that, in other examples, the base station and UE also can jointly save multiple first codebooks, and the UE determines a first codebook used currently according to the indication information in the top layer signaling sent by the base station or the RANK, at this point, the number of second codebooks can be one or multiple, if there are multiple second codebooks, the UE also can determine the second codebook used currently according to the top layer signaling sent by the base station or the RANK.
In addition, when the storage module of the base station and the storage module of the UE jointly save multiple second codebooks used in different scenarios, a selection module of the UE can select the second codebook used currently and inform the base station of the selected second codebook.
Example 4
The example relates to a multi-precision method for performing feedback of channel information, and the method includes:
a UE performing feedback of multiple Precoding Matrix Indicators (PMIs) to a base station, wherein, one PMI corresponds to one code word in a first codebook used currently, other PMIs respectively correspond to one code word in a second codebook used currently, and the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple or all subbands.
The code words included in the second codebook used for the feedback enhancement of single-polarized antennas are the same as the code words in the second codebook described in the summary of the document, which can enhance the quantization precision.
Example 5
The example relates to a multi-precision method for performing feedback of channel information, and the method includes:
a base station and a UE jointly saving a second codebook used for feedback enhancement of single-polarized antennas and a second codebook used for feedback enhancement of dual-polarized antennas;
after judging the size of a rank according to the channel information, if the rank is 1, the UE using the second codebook used for the feedback enhancement of single-polarized antennas as a second codebook used currently, and if the rank is 2, the UE using the second codebook used for the feedback enhancement of dual-polarized antennas as a second codebook used currently.
The code words included in the second codebook used for the feedback enhancement of single-polarized antennas and the code words included in the second codebook used for the feedback enhancement of dual-polarized antennas are the same as the code words in the second codebook described in the summary of the document, which can enhance the quantization precision.
The ordinary person skilled in the art can understand that all or part of the steps in the above method can be completed by a program instructing related hardware, and the program can be stored in a computer readable memory medium, such as a read-only memory, disk or optical disk and so on. Alternatively, all or part of the steps of the above examples also can be implemented by using one or multiple integrated circuits. Correspondingly, each module/unit in the above examples can be implemented in a form of hardware, and also can be implemented in a form of software function module. The present document is not limited to any combination of hardware and software in a specific form.
The above description is only the preferred examples of the present document, which is not used to limit the present document. The present document can have various modifications and changes for the skilled in the art. All the modifications, equivalent substitutions, and improvements, etc. made within the spirit and principle of the present document shall fall into the protection scope of the present document.
INDUSTRIAL APPLICABILITY
In the method for acquiring the channel information provided by the present document, multi-precision and multi-codebook joint feedback is used, which is appropriate for both dual-polarized channels and single-polarized channels, and the code words of the second codebook are specially set, which can enhance the quantization precision.

## Claims

1. A method for acquiring channel information wherein the method is a multi-precision method for acquiring channel information, and the method comprises:
a base station and a User Equipment (UE) jointly saving a first codebook and at least one second codebook, and the first codebook being used for channel information quantization in various scenarios;
the UE performing feedback of at least two Precoding Matrix Indicators (PMIs) to the base station, wherein, one PMI corresponds to one code word in the first codebook, all the other PMIs respectively correspond to different code words in a second codebook used currently, and each code word which is fed back corresponding to the PMI is used for representing channel information of one or multiple or all subbands; and
the base station finding corresponding code words from the first codebook and the second codebook used currently, and acquiring the channel information after receiving the PMIs fed back from the UE;
wherein one of the second codebooks jointly saved by the base station and the UE comprises the following 4 code words:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
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          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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      ]
    
    ⁢
    
      

    
    [
    
      
        
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    ]
  
  ,
  
    [
    
      
        
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            -
            j
          
        
      
    
    ]
  



or one of the second codebooks jointly saved by the base station and the UE comprises the following 4 code words:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j2
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j3
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
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            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  π
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j2
                ⁢
                
                  π
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j3
                ⁢
                
                  π
                  32
                
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j2
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j3
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
      
    
    ]
  



or one of the second codebooks jointly saved by the base station and the UE comprises the following 8 code words:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
        
      
      ]
    
    ,
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
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              j
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
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              -
              1
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
        
      
      ]
    
    ,
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
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                -
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                -
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        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
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              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
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                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
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              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
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                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  


or one of the second codebooks jointly saved by the base station and the UE comprises: any two code words in





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  



plus any group in the following 2 groups of code words:
first group:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        π
        16
      
    
    ,
    
      
        
          a
          2
        
        =
        
          
            -
            π
          
          16
        
      
      ;
    
  


second group:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                θ
                1
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          O
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              7
              ⁢
              
                θ
                1
              
            
          
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  2
                
              
            
          
        
      
      ]
    
    ⁢
    
       
      
        

      
      ⁢
      
        
          
            wherein
            ⁢
            
              :
            
            ⁢
            
              
            
            ⁢
            
              θ
              1
            
          
          =
          
            
              3
              ⁢
              π
            
            32
          
        
        ,
        
          
            θ
            2
          
          =
          
            
              
                
                  -
                  3
                
                ⁢
                π
              
              32
            
            .

2. The method according to claim 1 wherein:
the base station and the UE jointly save a second codebook, and this second codebook is the second codebook used currently; or
the base station and the UE jointly save multiple second codebooks used in different scenarios, the scenarios are relevant to a size of a rank, and after judging the size of the rank according to channel information, the UE determines a second codebook corresponding to the rank as the second codebook used currently; or
the base station and the UE jointly save multiple second codebooks used in different scenarios, and the UE determines the second codebook used currently according to indication information carried in a signaling sent by the base station; or
the base station and the UE jointly save multiple second codebooks used in different scenarios, and the UE selects the second codebook used currently and informs the base station.

3. The method according to claim 1 wherein:
the base station and the UE jointly save two second codebooks used in different scenarios;
after judging the size of the rank according to the channel information, if the rank is 1, the UE determines one second codebook corresponding to the rank as the second codebook used currently, and if the rank is 2, the UE determines the other second codebook corresponding to the rank as the second codebook used currently.

4. The method according to claim 1 wherein, in the step of the UE performing feedback of the PMIs to the base station, the PMIs fed back are one of following situations:
a number of the PMIs fed back is S+1, corresponding code words are one code word in the first codebook and S code words in the second codebook used currently, S pairs of code words obtained by combining the code word in the first codebook and each code word in the S code words are used for representing channel information of S subbands respectively, and S is an integer greater than 1; or
a number of the PMIs in the feedback is 2, and corresponding code words are one code word in the first codebook and one code word in the second codebook used currently, which are used for representing channel information of one subband; or
a number of the PMIs in the feedback is 2, and corresponding code words are one code word in the first codebook and one code word in the second codebook used currently, which are used for representing channel information of one wideband.

5. The method according to claim 1 wherein
code words in the first codebook can quantize channel information of 8 antennas independently, and code words in the second codebook are used for performing more precise quantization to the channel information based on the code words in the first codebook.

6. The method according to claim 3 wherein,
one of the two second codebooks comprises the following code words:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
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          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
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            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
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            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
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            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
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            -
            j
          
        
      
    
    ]
  



the other second codebook comprises the following code words:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
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                  j3φ
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              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
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                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
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              e
              
                j3φ
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            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
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              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  


or one of the two second codebooks comprises the following code words:





  
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
                    1
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              O
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    1
                  
                
              
            
          
        
        ]
      
      ⁡
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              O
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    2
                  
                
              
            
          
        
        ]
      
    
    ⁡
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  3
                
              
            
          
        
      
      ]
    
  
  ⁢
  
     
    
      
        
          
            [
            
              
                
                  1
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      
                        θ
                        4
                      
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  O
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      7
                      ⁢
                      
                        θ
                        4
                      
                    
                  
                
              
            
            ]
          
          ⁢
          
            

          
          ⁢
          wherein
          ⁢
          
            :
          
          ⁢
          
            
          
          ⁢
          
            θ
            1
          
        
        =
        
          
            -
            π
          
          64
        
      
      ,
      
        
          θ
          2
        
        =
        
          
            
              -
              3
            
            ⁢
            π
          
          64
        
      
      ,
      
        
          θ
          3
        
        =
        
          
            3
            ⁢
            π
          
          64
        
      
      ,
      
        
          
            θ
            4
          
          =
          
            π
            64
          
        
        ;
      
    
  



the other second codebook comprises the following code words:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        a
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        a
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        a
        4
      
      =
      
        
          π
          32
        
        .

7. A system for acquiring channel information wherein the system is a multi-precision system for acquiring channel information, and the system comprises a base station and a User Equipment (UE), wherein:
the base station comprises at least one processor executing a storage module and a channel information acquisition module wherein:
the storage module is configured to: save a first codebook and at least one second codebook, wherein the first codebook is used for channel information quantization in various scenarios; and
the channel information acquisition module is configured to: find corresponding code words from the first codebook and a second codebook used currently, and acquire the channel information after receiving Precoding Matrix Indicators (PMIs) fed back from the UE;
the UE comprises at least one processor executing a storage unit and a channel information feedback unit wherein:
the storage unit is configured to: save a first codebook and at least one second codebook identical with the first codebook and the second codebook of the base station; and
the channel information feedback module is configured to perform feedback of at least two PMIs to the base station, wherein one PMI corresponds to one code word in the first codebook, all the other PMIs respectively correspond to different code words in a second codebook used currently, and each code word which is fed back corresponding to the PMIs is used for representing channel information of one or multiple subbands;
wherein one of the second codebooks jointly saved by the base station and the UE comprises the following 4 code words:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
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            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  



or one of the second codebooks jointly saved by the base station and the UE comprises the following 4 code words:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j2
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j3
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          j
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  π
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j2
                ⁢
                
                  π
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j3
                ⁢
                
                  π
                  32
                
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j2
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j3
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
      
    
    ]
  



or one of the second codebooks jointly saved by the base station and the UE comprises the following 8 code words:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
        
      
      ]
    
    ,
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
        
      
      ]
    
    ,
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                -
                j
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  


or one of the second codebooks jointly saved by the base station and the UE comprises: any two code words in





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  



plus any group in the following 2 groups of code words:
first group:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          :
        
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        π
        16
      
    
    ,
    
      
        
          a
          2
        
        =
        
          
            -
            π
          
          16
        
      
      ;
    
  


second group:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                θ
                1
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          O
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              7
              ⁢
              
                θ
                1
              
            
          
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  2
                
              
            
          
        
      
      ]
    
    ⁢
    
       
      
        

      
      ⁢
      
        
          
            wherein
            ⁢
            
              :
            
            ⁢
            
              
            
            ⁢
            
              θ
              1
            
          
          =
          
            
              3
              ⁢
              π
            
            32
          
        
        ,
        
          
            θ
            2
          
          =
          
            
              
                
                  -
                  3
                
                ⁢
                π
              
              32
            
            .

8. The system according to claim 7 wherein:
the storage module of the base station and the storage unit of the UE jointly save a second codebook, and this second codebook is the second codebook used currently; or
the storage module of the base station and the storage unit of the UE jointly save multiple second codebooks used in different scenarios, the scenarios are relevant to a size of a rank, the UE determine a second codebook corresponding to the rank as the second codebook used currently after judging the size of the rank according to channel information; or
the storage module of the base station and the storage unit of the UE jointly save multiple second codebooks used in different scenarios, the UE determines the second codebook used currently according to indication information carried in a signaling sent by the base station; or
the storage module of the base station and the storage unit of the UE jointly save multiple second codebooks used in different scenarios, the UE selects the second codebook used currently and inform the base station.

9. A base station comprising at least one processor executing a storage module, a receiving module and a channel information acquisition module wherein:
the storage module is configured to: save a first codebook and at least one second codebook;
the receiving module is configured to: receive at least two Precoding Matrix Indicators (PMIs) fed back from a User Equipment (UE) to the base station and send the PMIs to the channel information acquisition module, wherein, one PMI corresponds to one code word in the first codebook, which is identical with the first codebook stored by the base station, stored by the UE, all the other PMIs respectively correspond to different code words in the second codebook used currently, which are identical with the second codebook stored by the base station, stored by the UE, and each code word corresponding to the fed back PMIs is used for representing channel information of one or multiple subbands; and
the channel information acquisition module is configured to: find corresponding code words from the first codebook and the second codebook used currently, and acquire the channel information after obtaining the PMIs in the feedback from the UE;
wherein one of the second codebooks jointly saved by the base station and the UE comprises the following 4 code words:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  



or one of the second codebooks jointly saved by the base station and the UE comprises the following 4 code words:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  -
                  π
                
                32
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                    
                      -
                      3
                    
                    ⁢
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j2
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              
                e
                
                  j3
                  ⁢
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
              
            
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                π
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          j
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  π
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j2
                ⁢
                
                  π
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            j
            ⁢
            
              
            
            ⁢
            
              e
              
                j3
                ⁢
                
                  π
                  32
                
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
                  3
                  ⁢
                  π
                
                32
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j2
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
              -
              j
            
            ⁢
            
              
            
            ⁢
            
              e
              
                j3
                ⁢
                
                  
                    3
                    ⁢
                    π
                  
                  32
                
              
            
          
        
      
    
    ]
  



or one of the second codebooks jointly saved by the base station and the UE comprises the following 8 code words:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                1
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                1
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  jφ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2φ
                  2
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3φ
                  2
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4φ
                  2
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                3
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                3
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                3
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                jφ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2φ
                4
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                4
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4φ
                4
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  


or one of the second codebooks jointly saved by the base station and the UE comprises: any two code words in





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
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            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
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            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
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            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
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            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
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            -
            j
          
        
      
    
    ]
  



plus any group in the following 2 groups of code words:
first group:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              
                a
                1
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              2
              ⁢
              
                a
                1
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              3
              ⁢
              
                a
                1
              
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j2
              ⁢
              
                
              
              ⁢
              
                a
                1
              
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j3
              ⁢
              
                
              
              ⁢
              
                a
                1
              
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            e
            
              j
              ⁢
              
                
              
              ⁢
              4
              ⁢
              
                a
                1
              
            
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
     
    
      
        
          
            [
            
              
                
                  1
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      
                        a
                        2
                      
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      2
                      ⁢
                      
                        a
                        2
                      
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      3
                      ⁢
                      
                        a
                        2
                      
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  1
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j2
                      ⁢
                      
                        
                      
                      ⁢
                      
                        a
                        2
                      
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j3
                      ⁢
                      
                        
                      
                      ⁢
                      
                        a
                        2
                      
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      4
                      ⁢
                      
                        a
                        2
                      
                    
                  
                
              
            
            ]
          
          ⁢
          
            

          
          ⁢
          wherein
          ⁢
          
            
          
          ⁢
          
            a
            1
          
        
        =
        
          π
          16
        
      
      ,
      
        
          
            a
            2
          
          =
          
            
              -
              π
            
            16
          
        
        ;
      
    
  



second group




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            Ο
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  
                
                ⁢
                
                  θ
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            Ο
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  
                
                ⁢
                
                  θ
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          
        
        ⁢
        
          θ
          1
        
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        θ
        2
      
      =
      
        
          
            
              -
              3
            
            ⁢
            π
          
          32
        
        .

10. A method for performing feedback of channel information wherein the method is a multi-precision method for performing feedback of channel information, and the method comprises:
a UE feeding back multiple Precoding Matrix Indicators (PMIs) to a base station wherein one PMI corresponds to one code word in a first codebook used currently, other PMIs respectively correspond to one code word in a second codebook used currently, and the code words corresponding to the fed back PMIs are used for representing channel information of one or multiple or all subbands;
the second codebook comprises the following code words:





   
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
        
      
      ]
    
    ,
    
       
      
        
          [
          
            
              
                1
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                1
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                1
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                1
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                j
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                j
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
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                j
              
            
          
          ]
        
        ⁢
        
          

        
        ⁢
        
           
          
            
              [
              
                
                  
                    1
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    1
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    1
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    1
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      -
                      1
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      -
                      1
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      -
                      1
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      -
                      1
                    
                  
                
              
              ]
            
            ,
            
               
              
                [
                
                  
                    
                      1
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
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                      1
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      1
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        -
                        j
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        -
                        j
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        -
                        j
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        -
                        j
                      
                    
                  
                
                ]
              
            
          
        
      
    
  



or the second codebook comprises the following 4 code words:





   
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  
                    -
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  
                    -
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                    -
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  
                    -
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  
                    -
                    π
                  
                  32
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                    -
                    π
                  
                  32
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
       
      
        
          [
          
            
              
                1
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    
                      
                        
                          -
                          3
                        
                        ⁢
                        π
                      
                      32
                    
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    2
                    ⁢
                    
                      
                        
                          -
                          3
                        
                        ⁢
                        π
                      
                      32
                    
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    3
                    ⁢
                    
                      
                        
                          -
                          3
                        
                        ⁢
                        π
                      
                      32
                    
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  -
                  1
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    
                      
                        
                          -
                          3
                        
                        ⁢
                        π
                      
                      32
                    
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j2
                    ⁢
                    
                      
                    
                    ⁢
                    
                      
                        
                          -
                          3
                        
                        ⁢
                        π
                      
                      32
                    
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    3
                    ⁢
                    
                      
                        
                          -
                          3
                        
                        ⁢
                        π
                      
                      32
                    
                  
                
              
            
          
          ]
        
        ⁢
        
          

        
        ⁢
        
           
          
            
              [
              
                
                  
                    1
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        
                          π
                          32
                        
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        2
                        ⁢
                        
                          π
                          32
                        
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        3
                        ⁢
                        
                          π
                          32
                        
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    j
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      je
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        
                          π
                          32
                        
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      je
                      
                        j2
                        ⁢
                        
                          
                        
                        ⁢
                        
                          π
                          32
                        
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      je
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        3
                        ⁢
                        
                          π
                          32
                        
                      
                    
                  
                
              
              ]
            
            ,
            
              

            
            ⁢
            
               
              
                [
                
                  
                    
                      1
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        e
                        
                          j
                          ⁢
                          
                            
                          
                          ⁢
                          
                            
                              3
                              ⁢
                              π
                            
                            32
                          
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        e
                        
                          j
                          ⁢
                          
                            
                          
                          ⁢
                          2
                          ⁢
                          
                            
                              3
                              ⁢
                              π
                            
                            32
                          
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        e
                        
                          j
                          ⁢
                          
                            
                          
                          ⁢
                          3
                          ⁢
                          
                            
                              3
                              ⁢
                              π
                            
                            32
                          
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        -
                        j
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        -
                        
                          je
                          
                            j
                            ⁢
                            
                              
                            
                            ⁢
                            
                              
                                3
                                ⁢
                                π
                              
                              32
                            
                          
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        -
                        
                          je
                          
                            j2
                            ⁢
                            
                              
                            
                            ⁢
                            
                              
                                3
                                ⁢
                                π
                              
                              32
                            
                          
                        
                      
                    
                    
                      
                        
                      
                    
                  
                  
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        
                      
                    
                    
                      
                        -
                        
                          je
                          
                            j
                            ⁢
                            
                              
                            
                            ⁢
                            3
                            ⁢
                            
                              
                                3
                                ⁢
                                π
                              
                              32
                            
                          
                        
                      
                    
                  
                
                ]
              
            
          
        
      
    
  



or the second codebook comprises the following 8 code words:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              j
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
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              j
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
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              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              -
              1
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
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                -
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                -
                j
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
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                j
                
                  φ
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                ⁢
                
                  
                
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                  2
                  
                    φ
                    1
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  3
                  
                    φ
                    1
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  2
                  
                    φ
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              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  3
                  
                    φ
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              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  4
                  
                    φ
                    1
                  
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
    
    ⁢
    
      
        [
        
          
        
        ⁢
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  
                    φ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    2
                    
                      φ
                      2
                    
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
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              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    2
                    
                      φ
                      2
                    
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
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                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    4
                    
                      φ
                      2
                    
                  
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                
                  φ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  2
                  
                    φ
                    3
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  3
                  
                    φ
                    3
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
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                  2
                  
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              e
              
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                ⁢
                
                  
                
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              e
              
                j
                ⁢
                
                  
                
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                  4
                  
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                    3
                  
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                
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              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  2
                  
                    φ
                    4
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  3
                  
                    φ
                    4
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  2
                  
                    φ
                    4
                  
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  3
                  
                    φ
                    4
                  
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  4
                  
                    φ
                    4
                  
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          
        
        ⁢
        
          φ
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        φ
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        φ
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        
          φ
          4
        
        =
        
          π
          32
        
      
      ;
    
  


or the second codebook comprises: any two code words in





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    

  
  ⁢
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  



plus any group in the following 2 groups of code words:
first group:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                4
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
    
    ⁢
    
      [
      
        
      
      ⁢
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                4
                ⁢
                
                  
                
                ⁢
                
                  a
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        π
        16
      
    
    ,
    
      
        
          a
          2
        
        =
        
          
            -
            π
          
          16
        
      
      ;
    
  


second group:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            Ο
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  
                
                ⁢
                
                  θ
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  2
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            Ο
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  
                
                ⁢
                
                  θ
                  2
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          
        
        ⁢
        
          θ
          1
        
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        θ
        2
      
      =
      
        
          
            
              -
              3
            
            ⁢
            π
          
          32
        
        .

11. A method for performing feedback of channel information wherein the method is a multi-precision method for performing feedback of channel information, and the method comprises:
a base station and a UE jointly saving two second codebooks used in different scenarios; and
after judging a size of a rank according to the channel information, if the rank is 1, the UE using one second codebook corresponding to the rank as a second codebook used currently, and if the rank is 2, the UE using the other second codebook corresponding to the rank as a second codebook used currently;
one of the two second codebooks comprises the following code words:





  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
      
    
    ]
  
  ,
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            j
          
        
      
      ]
    
    ⁢
    
      

    
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            1
          
        
      
    
    ]
  
  ,
  
    [
    
      
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          1
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
        
          
            
          
        
      
      
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            
          
        
        
          
            -
            j
          
        
      
    
    ]
  



the other second codebook comprises the following code words:





   
  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  φ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  φ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                3
                ⁢
                
                  φ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                2
                ⁢
                
                  φ
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3φ
                1
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                4
                ⁢
                
                  φ
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
       
      
        
          [
          
            
              
                1
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    
                      φ
                      2
                    
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    2
                    ⁢
                    
                      φ
                      2
                    
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    3
                    ⁢
                    
                      φ
                      2
                    
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                1
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    2
                    ⁢
                    
                      φ
                      2
                    
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j3φ
                    2
                  
                
              
              
                
                  
                
              
            
            
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  
                
              
              
                
                  e
                  
                    j
                    ⁢
                    
                      
                    
                    ⁢
                    4
                    ⁢
                    
                      φ
                      2
                    
                  
                
              
            
          
          ]
        
        ⁢
        
          

        
        ⁢
        
           
          
            
              [
              
                
                  
                    1
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        
                          φ
                          3
                        
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        2
                        ⁢
                        
                          φ
                          3
                        
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        3
                        ⁢
                        
                          φ
                          3
                        
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    1
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        2
                        ⁢
                        
                          φ
                          3
                        
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j3φ
                        3
                      
                    
                  
                  
                    
                      
                    
                  
                
                
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      
                    
                  
                  
                    
                      e
                      
                        j
                        ⁢
                        
                          
                        
                        ⁢
                        4
                        ⁢
                        
                          φ
                          3
                        
                      
                    
                  
                
              
              ]
            
            ,
            
              

            
            ⁢
            
               
              
                
                  
                    
                      [
                      
                        
                          
                            1
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                        
                        
                          
                            
                              
                            
                          
                          
                            
                              e
                              
                                j
                                ⁢
                                
                                  
                                
                                ⁢
                                
                                  φ
                                  4
                                
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                        
                        
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              e
                              
                                j
                                ⁢
                                
                                  
                                
                                ⁢
                                2
                                ⁢
                                
                                  φ
                                  4
                                
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                        
                        
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              e
                              
                                j
                                ⁢
                                
                                  
                                
                                ⁢
                                3
                                ⁢
                                
                                  φ
                                  4
                                
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                        
                        
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            1
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                        
                        
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              e
                              
                                j
                                ⁢
                                
                                  
                                
                                ⁢
                                2
                                ⁢
                                
                                  φ
                                  4
                                
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                        
                        
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              e
                              
                                j3φ
                                4
                              
                            
                          
                          
                            
                              
                            
                          
                        
                        
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              
                            
                          
                          
                            
                              e
                              
                                j
                                ⁢
                                
                                  
                                
                                ⁢
                                4
                                ⁢
                                
                                  φ
                                  4
                                
                              
                            
                          
                        
                      
                      ]
                    
                    ⁢
                    
                      

                    
                    ⁢
                    wherein
                    ⁢
                    
                      
                    
                    ⁢
                    
                      φ
                      1
                    
                  
                  =
                  
                    
                      -
                      π
                    
                    32
                  
                
                ,
                
                  
                    φ
                    2
                  
                  =
                  
                    
                      
                        -
                        3
                      
                      ⁢
                      π
                    
                    32
                  
                
                ,
                
                  
                    φ
                    3
                  
                  =
                  
                    
                      3
                      ⁢
                      π
                    
                    32
                  
                
                ,
                
                  
                    
                      φ
                      4
                    
                    =
                    
                      π
                      32
                    
                  
                  ;
                
              
            
          
        
      
    
  



or one of the two second codebooks comprises the following code words:





  
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
                    1
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              O
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    1
                  
                
              
            
          
        
        ]
      
      ⁡
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    θ
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              O
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  7
                  ⁢
                  
                    θ
                    2
                  
                
              
            
          
        
        ]
      
    
    ⁡
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  θ
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            O
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                7
                ⁢
                
                  θ
                  3
                
              
            
          
        
      
      ]
    
  
  ⁢
  
     
    
      
        
          
            [
            
              
                
                  1
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      
                        θ
                        4
                      
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  O
                
                
                  
                    
                  
                
              
              
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    
                  
                
                
                  
                    e
                    
                      j
                      ⁢
                      
                        
                      
                      ⁢
                      7
                      ⁢
                      
                        θ
                        4
                      
                    
                  
                
              
            
            ]
          
          ⁢
          
            

          
          ⁢
          wherein
          ⁢
          
            
          
          ⁢
          
            θ
            1
          
        
        =
        
          
            -
            π
          
          64
        
      
      ,
      
        
          θ
          2
        
        =
        
          
            
              -
              3
            
            ⁢
            π
          
          64
        
      
      ,
      
        
          θ
          3
        
        =
        
          
            3
            ⁢
            π
          
          64
        
      
      ,
      
        
          
            θ
            4
          
          =
          
            π
            64
          
        
        ;
      
    
  



the other second codebook comprises the following code words:




  
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  1
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      
        [
        
          
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                e
                
                  j
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              1
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j2
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j3
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
            
              
                
              
            
          
          
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                
              
            
            
              
                e
                
                  j4
                  ⁢
                  
                    
                  
                  ⁢
                  
                    a
                    2
                  
                
              
            
          
        
        ]
      
      ⁢
      
        

      
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  3
                
              
            
          
        
      
      ]
    
    ,
    
      

    
    ⁢
    
      [
      
        
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              e
              
                j
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            1
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j2
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j3
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
          
            
              
            
          
        
        
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              
            
          
          
            
              e
              
                j4
                ⁢
                
                  
                
                ⁢
                
                  a
                  4
                
              
            
          
        
      
      ]
    
  




  
    
      
        wherein
        ⁢
        
          
        
        ⁢
        
          a
          1
        
      
      =
      
        
          -
          π
        
        32
      
    
    ,
    
      
        a
        2
      
      =
      
        
          
            -
            3
          
          ⁢
          π
        
        32
      
    
    ,
    
      
        a
        3
      
      =
      
        
          3
          ⁢
          π
        
        32
      
    
    ,
    
      
        a
        4
      
      =
      
        
          π
          32
        
        .

12. The method according to claim 2 wherein, in the step of the UE performing feedback of the PMIs to the base station, the PMIs fed back are one of following situations:
a number of the PMIs fed back is S+1, corresponding code words are one code word in the first codebook and S code words in the second codebook used currently, S pairs of code words obtained by combining the code word in the first codebook and each code word in the S code words are used for representing channel information of S subbands respectively, and S is an integer greater than 1; or
a number of the PMIs in the feedback is 2, and corresponding code words are one code word in the first codebook and one code word in the second codebook used currently, which are used for representing channel information of one subband; or
a number of the PMIs in the feedback is 2, and corresponding code words are one code word in the first codebook and one code word in the second codebook used currently, which are used for representing channel information of one wideband.

13. The method according to claim 3 wherein, in the step of the UE performing feedback of the PMIs to the base station, the PMIs fed back are one of following situations:
a number of the PMIs fed back is S+1, corresponding code words are one code word in the first codebook and S code words in the second codebook used currently, S pairs of code words obtained by combining the code word in the first codebook and each code word in the S code words are used for representing channel information of S subbands respectively, and S is an integer greater than 1; or
a number of the PMIs in the feedback is 2, and corresponding code words are one code word in the first codebook and one code word in the second codebook used currently, which are used for representing channel information of one subband; or
a number of the PMIs in the feedback is 2, and corresponding code words are one code word in the first codebook and one code word in the second codebook used currently, which are used for representing channel information of one wideband.