A method in a wireless station in communication with an access point over a communication channel includes receiving a channel estimation matrix; determining a beamforming matrix using the channel estimation matrix, the beamforming matrix being generated for a plurality of down-sampled feedback indices; the beamforming matrix including beamforming weights for one or more antennas associated with the access point, each beamforming weight being a complex value including an amplitude and a phase; setting the phase of the beamforming weight for a last antenna associated with the last feedback index of the beamforming matrix to zero and rotating the phase of each beamforming weight for each of the other antennas; performing smoothing of the beamforming matrix for each feedback index by normalizing each column vector of the beamforming matrix; compressing the smoothed beamforming matrix; and providing the smoothed beamforming matrix as output.