Method and system for codebook design of MIMO pre-coders with finite rate channel state information feedback

摘要

Aspects of a method and system for codebook design of MIMO pre-coders with finite rate channel state information feedback may include quantizing channel state information in a MIMO pre-coding system onto a codebook, which include unitary matrices, using a cost function. The codebook may be iteratively updated based on at least the channel state information. The channel state information may comprise a matrix V. The cost function f(A) is defined by the following relationship:; $$ f\left(A\right)=\left(\frac{1}{N}\sum _{j=1}^N{a_{\mathrm{jj}}}^2\right)$$where A is a matrix of size N by N and a_ij is element (i,j) of matrix A. Voronoi regions may be generated from the codebook for the unitary matrices. A set of matrices based on the Voronoi regions and the unitary matrices may be generated. Updating the codebook may be achieved by modifying the set of matrices into a new set of unitary matrices, where the new set of unitary matrices become the codebook.