Adaptive precoding codebooks are described. In one embodiment, the method of wireless communication includes reading at least a rank-2 baseline codebook having codewords representing precoding matrices. An adaptive codebook is generated by multiplying a first column of the codeword with a first transform matrix calculated from a channel correlation matrix, and multiplying a second column of the codeword with a second transform matrix calculated from the channel correlation matrix. The first and the second transform matrices are orthogonal.