A first radio communication apparatus includes receiving antennas, an antenna selection processing unit that selects a transmitting antenna from transmitting antennas included in a second radio communication apparatus, generates a set that includes antenna indexes each indicating each of transmitting antennas, rearranges the antenna indexes in sequence starting from an antenna index indicating the selected transmitting antenna, generates a channel matrix in which a column corresponding to the selected transmitting antenna is located at a top, and a selected-channel matrix composed of the column, multiplies an inverse matrix of the channel matrix by the selected-channel matrix to generate an evaluation matrix, rearranges the antenna indexes in the set according to values of elements in the evaluation matrix, and selects an antenna to be used according to the rearranged antenna indexes, and a transmitting unit that transmits an antenna index indicating the selected antenna to the second radio communication apparatus.