A spatial multiplexing wireless transmission system is formed by a base station, and by a plurality of terminal stations that are provided with a plurality of antennas. The base station is provided with an information signal generating portion, a control signal generating portion, a transmission frame generating portion, a multiple beamforming portion, a transmission/reception switching portion, a reception signal processing portion, a propagation environment estimating portion, and an antenna information generating portion. At least one of the terminal stations is provided with a transmission/reception switching portion, a reception signal processing portion, a decoding portion, an antenna information extracting portion, an antenna information generating portion, an transmitting portion, a battery, a remaining battery detecting portion, a transmission request extracting portion, and a propagation environment estimating portion.