A wireless device includes a channel covariance matrix calculating unit that calculates a covariance matrix based on a channel matrix estimated based on radio signal transmitted from a transmitting station. The wireless device further includes a first metric calculating unit that calculates a first metric based on the calculated covariance matrix. The wireless device further includes a W1 determining unit that calculates a first precoding matrix common to a plurality of bands based on the calculated first metric. The wireless device further includes second metric calculating units that calculate a second metric using the calculated first precoding matrix. The wireless device further includes an optimal CQI/PMI/RI determining unit that calculates a second precoding matrix of each band based on the calculated second metric.