A transformation apparatus for transforming a long-term wideband channel property feedback, comprising: a first transformation unit for constructing an estimation R estimation of a long-term wideband transmit spatial correlation matrix R with a long-term wideband beamforming matrix u 1 as fed back from a receiver, wherein R estimation = u 1 u 1 H , where H indicates the conjugate transposition of a matrix and wherein u 1 comprises information of the principal eigen-vector of the long-term wideband transmit spatial matrix; and a second transformation unit for directly obtaining a long-term wideband beamforming matrix or a precoding matrix by using a long-term wideband transmit spatial correlation matrix as fed back from a receiver, wherein the transformation apparatus is configured to determine whether to perform transformation on the received feedback based on the received feedback and the long-term wideband information desired by a transmitter side being either the long-term wideband beamforming matrix or the long-term wideband transmit spatial correlation matrix, wherein if the received feedback comprises the desired long-term wideband information the transformation apparatus is configured not to perform any transformation; wherein if the received feedback is not the desired long-term wideband information the transformation apparatus is configured to perform either the first transformation if the desired long-term wideband information is the long-term wideband transmit spatial correlation matrix and to perform the second transformation if the desired long-term wideband information is the long-term wideband beamforming matrix. a first transformation unit for constructing an estimation R estimation of a long-term wideband transmit spatial correlation matrix R with a long-term wideband beamforming matrix u 1 as fed back from a receiver, wherein R estimation = u 1 u 1 H , where H indicates the conjugate transposition of a matrix and wherein u 1 comprises information of the principal eigen-vector of the long-term wideband transmit spatial matrix; and a second transformation unit for directly obtaining a long-term wideband beamforming matrix or a precoding matrix by using a long-term wideband transmit spatial correlation matrix as fed back from a receiver, wherein the transformation apparatus is configured to determine whether to perform transformation on the received feedback based on the received feedback and the long-term wideband information desired by a transmitter side being either the long-term wideband beamforming matrix or the long-term wideband transmit spatial correlation matrix, wherein if the received feedback comprises the desired long-term wideband information the transformation apparatus is configured not to perform any transformation; wherein if the received feedback is not the desired long-term wideband information the transformation apparatus is configured to perform either the first transformation if the desired long-term wideband information is the long-term wideband transmit spatial correlation matrix and to perform the second transformation if the desired long-term wideband information is the long-term wideband beamforming matrix. <EOS>