<p>A method and system for reduced feedback transmit beamforming are provided. Some embodiments comprise computing a matrix of channel transfer function coefficients (406). The matrix of channel transfer function coefficients is compressed by applying a rotation matrix having orthogonal columns to the matrix of channel transfer function coefficients to produce a compressed transfer function matrix having a reduced number of non-zero coefficients (408). The compressed matrix is fed back to a transmitting unit (412). Decompression of the transfer function coefficient matrix is not required. This compression does not cause any performance degradation for transmit beamforming. The transmitting unit computes a set of beamsteering coefficients from the compressed matrix (416) and applies the coefficients to signals prior to transmission. The beamformed signals are transmitted (418) to the receiving unit and post-coded to allow the receiving unit to see an effective diagonalized channel (422).</p>