In a multiple-input multiple-output transmission system (MIMO system), a receive station detects whether or not there is an error in each data stream, estimates the state of the propagation path of each transmit antenna and reports, to the transmitting side, re-transmission necessary/unnecessary information, for every data stream, created based upon whether or not there is an error, and the state of the propagation path of each transmit antenna. A transmit station decides a transmit antenna that transmits a data stream requiring re-transmission, based upon the reported state of the propagation path of each transmit antenna, and re-transmits the data stream requiring re-transmission from the transmit antenna decided.