A wireless communication system with feedback and a method therefore, wherein
the
wireless communication system, which has a plurality of transmitting antennas and
a plurality of receiving antennas through which signals are transmitted and received,
respectively, includes: a transmitter that restores feedback information from a
predetermined feedback signal, weights an information signal with the restored
feedback information, and converts the weighted information signal to a radio frequency
signal in order to transmit the radio frequency signal; and a receiver that receives
the radio frequency signal to estimate the state of a channel, through which the
radio frequency signal is transmitted, calculates a weight of a dimensionality
corresponding to the number of the transmitting antennas, approximates the weight
as lower-dimensional one to extract feedback information, and converts the feedback
information into a radio frequency signal to send the radio frequency signal to
the transmitter.