In addition, in Table 10, when rank is 2, {0, 1, 4, 5} as a codebook index of W2 may be deduced by applying a second PMI index IPMI2 with one of 0 to 3 to the following equation. IPMI2+2·└IPMI2/2┘??[Equation 16]
A third embodiment of the present invention relates to another example of the aforementioned 4Tx codebook of Equations 12 to 15, and even if the codebook of the third embodiment of the present invention is used, the first and second embodiments of the present invention may be applied. The aforementioned codebook of Equations 12 to 15 and the codebook according to the third embodiment of the present invention are the same except for some codewords (9, 10, 11, 12, 13, 14, 15) of W2 in rank 2. Accordingly, when the codebook according to the third embodiment of the present invention is subsampled according to the first or second embodiment of the present invention, subsampled codebooks are the same.
4 Tx codebook according to the third embodiment of the present invention may be represented by multiplication of two matrices as follows. W=W1·W2??[Equation 17]
Here, the inner precoder w1 and the outer precoder w2 may represent wideband/long-term channel properties and subband/short-term channel properties, respectively. w1 may be set as follows.