In order to achieve both of reduction of peak power and reduction of a transmission rate, an apparatus includes a reception processing unit configured to receive transmission signals from a transmission apparatus, the transmission apparatus performing precoding processing and clipping processing on the transmission signals and outputting a plurality of the transmission signals simultaneously in an identical frequency band; a signal separating unit configured to separate reception data sets from the transmission signals; and a transmission signal estimating unit configured to estimate a signal distortion component and a noise component due to the clipping processing and an interference component between the transmission signals, based on the reception data sets and gain information related to a channel for transmitting the transmission signals, and estimate transmission data sets by removing the signal distortion component, the noise component, and the interference component being estimated from the reception data sets.