METHOD AND SYSTEM FOR AN ALTERNATING CHANNEL DELTA QUANTIZER FOR MIMO PRE-CODERS WITH FINITE RATE CHANNEL STATE INFORMATION FEEDBACK

Aspects of a method and system for an alternating channel delta quantizer for MIMO pre-coders with finite rate channel state information feedback may include quantizing a change in channel state information in a MIMO pre-coding system onto a codebook using a cost function and selecting the codebook from a set of codebooks; and generating the set of codebooks from a plurality of codebooks, where each may comprise one or more unitary matrices. The channel state information may be a matrix V that may be generated using Singular Value Decomposition (SVD) and/or Geometric Mean Decomposition (GMD). The selecting of the codebooks may be enabled by alternating between the elements of the set of codebooks. The cost function f(A) may be defined by the following relationship:where A is a matrix of size N by N and aij is element (i,j) of matrix A.