Wireless communications systems, wireless communications method, and wireless communications apparatus

In an SVD-MIMO transmission using a singular value decomposition, the amount of information fed back to a transmitter from a receiver is reduced. Instead of feeding back to the transmitter, a transmission weighting vector V obtained by performing a singular value decomposition of a channel information matrix obtained by the receiver, the receiver sends reference symbols to the transmitter, which obtains the channel information matrix and performs the singular value decomposition to yield the vector V necessary when transmitting data. In the procedure of obtaining the vector V, a noncoincidence between channel matrices in the opposite directions is compensated for, by performing a calibration for compensating an error between transmitting and receiving analog devices on the part of both the transmitter and the receiver.