A wireless communication system uses a spatial spreading matrix to simultaneously transmit various different streams of encoded symbol data simultaneously via multiple transmission antennas, wherein the spatial spreading matrix is designed to assure that the different transmission antennas provide equal power output in the presence of both correlated and uncorrelated data within the different encoded symbol streams. The use of this spatial spreading matrix reduces or eliminates the condition in which a particular one of the transmission antennas needs to operate at an output power that is significantly higher than the others of the transmission antennas, which might lead to saturation of, or to the non-linear or abnormal operation of a power amplifier associated with the particular transmission antenna, resulting in improper amplification for that particular transmission antenna.