A wireless reception device is notified of whether a multi-user MIMO signal transmitted from a wireless transmission device has undergone linear precoding or non-linear precoding without increasing the amount of control information. A wireless transmission device having a plurality of transmit antennas 303, for transmitting spatially multiplexed signals to a plurality of wireless reception devices includes a group construction unit 307 configured to classify the wireless reception devices into a plurality of groups and to determine a precoding scheme for each of the groups, a selection unit 315 configured to select one group from among the groups, and a precoding unit 323 configured to precode transmit data addressed to each of wireless reception devices belonging to the selected group, using a precoding scheme determined for the selected group.