A first communication device calculates an initial matrix from an estimate of a communication channel, and performs a matrix decomposition of the initial matrix to decompose the initial matrix into a plurality of decomposition matrices. Performing the matrix decomposition comprises determining angles for rotation operations performed on the initial matrix as part of decomposing the initial matrix. The first communication device determines compressed feedback using the angles that were determined as part of decomposing the initial matrix into the plurality of decomposition matrices. The compressed feedback is a compressed representation of a beamforming steering matrix corresponding to the estimate of the communication channel. The first communication device transmits the compressed feedback to a second communication device to enable the second communication device to beamform at least one subsequent transmission to the first communication device.