Wireless communication system and receiving device

A wireless communication system in which a transmitting device having a plurality of transmitting antennas and a receiving device having a plurality of receiving antennas communicate in an orthogonal frequency division multiplexing system,

• said transmitting device comprising:
• a status acquiring unit acquiring a channel matrix generated by previous signals from said receiving device;
• a partition unit partitioning a transmission data sequence into a plurality of data streams;
• and
• a mapping unit mapping each of the plurality of data streams to each of the plurality of transmitting antennas by using, for a precoding matrix, columns, corresponding to a stream count of the plurality of data streams, of a right singular matrix acquired by singular value decomposition of the channel matrix, and
• said receiving device comprising:
• an estimation unit estimating a present channel status from received signals and generating a present channel matrix representing the present channel status;
• and
• a decoding unit Viterbi-decoding the received signals by weighting a path metric by using a weighting coefficient corresponding to a signal-to-noise ratio obtained from the present channel matrix.