A beamformee device includes a channel estimator, first and second beamforming matrix providers and a dimension reduction unit. The channel estimator receives a NDP through a channel, and obtains channel information of the channel based on the NDP. The first beamforming matrix provider provides wideband beamforming matrices based on the channel information. The dimension reduction unit generates equivalent channel information based on the wideband beamforming matrices. The second beamforming matrix provider provides beamforming matrices based on the equivalent channel information. The wideband beamforming matrices and the subcarrier beamforming matrices are fed back to the beamformer device. Any one or any combination of the plurality of wideband beamforming matrices and the plurality of subcarrier beamforming matrices are selected from codebooks.