Patent ID: 8254359

Claim:
A method, comprising: receiving a plurality of codebook indices from a remote station having a plurality of antennas, the plurality of codebook indices representing a plurality of quantized column vectors of the same dimensionality, each quantized column vector corresponding to a column of a beamforming matrix, each column of the beamforming matrix being quantized by the remote station in an ordered sequence from a left-most column vector of the beamforming matrix to a right-most column vector of the beamforming matrix; determining a Householder matrix from a quantized column vector of the plurality of quantized column vectors corresponding to the right-most column vector of the beamforming matrix, the determining a Householder matrix comprising: indexing into a codebook using one of the plurality of codebook indices to yield a quantized column vector; and calculating the Householder matrix as a function of the quantized column vector; and recursively determining a Householder matrix for a next quantized column vector of the plurality of quantized column vectors to generate a beamforming matrix, the next quantized column vector for each recursive determination of the Householder matrix corresponding to a column vector of the beamforming matrix being immediately to the left of the column vector corresponding to the most recently determined Householder matrix.