present invention there is proposed an enhanced adaptive codebook generating and feedback mechanism to further improve high rank channel feedback quality and the corresponding system performance a high rank baseline codebook set is composed of multiple high rank baseline codebooks each high rank baseline codebook is composed of multiple column vectors each column vector can be used to quantize different eigenvectors of channels in order to improve quantization accuracy different column vectors in the high rank baseline codebook are transformed by different levels of a spatial correlation matrix to align to different beamforming of different levels of eigenvectors all transformed column vectors constitute a new high rank adaptive codebook which can more precisely depict high rank channel information this kind of high rank adaptive codebook can be used for various antenna configurations and application scenarios as an example antenna deployment may be e g co polarized or cross polarized the transmitting antenna number may be e g 4tx or 8tx antennas the embodiments of the present invention may apply to scenarios for transmitting any allowed number of streams i e any transmission rank moreover the embodiments of the present invention may apply to any multi antenna scheme e g su mimo or mu mimo it should be noted that the rank in a mimo system is defined as the number of independent equations corresponding to the mimo system algebraic rank the magnitude of the rank limits the.