Abstract: Spatial multiplexing techniques achieve substantial improvements in frequency reuse in microwave communications. The spatial demultiplexing techniques use amplitude and phase differences of received signals at spatially separated antennas to separate interfering signals. A set of complex weights is generated based on the differences of the received signals. The received signals are weighted and summed to cancel interference and separate the signals. Beamforming operations in an antenna array provide rejection of intersymbol interference and reduce the number of antennas needed to cancel interference. A spatial demultiplexing technique using multicarrier signals eliminates the requirement for multiple receiver antennas. The spatial demultiplexing technique is also applied to separating received signals that have polarization time, and frequency diversity.