More reduction of the amount of operation than in QRM-VP is realized while maintaining transmission performance that can be achieved by VP. A precoding apparatus 109 that performs preliminary processing on transmission data transmitted from a wireless transmission apparatus including a plurality of antennas to a wireless reception apparatus includes a linear filter generation section 301 that generates a linear filter on the basis of a result of estimation of a channel between an antenna unit 111 and the wireless reception apparatus, a signal conversion section 303 that expands perturbation term candidates of a perturbation vector to be added to a transmission data vector and a reference signal associated with the transmission data in a complex plane, and a perturbation vector search section 305 that searches for the perturbation vector to be added to the transmission data vector by performing a quadrant search on the basis of the perturbation term candidates and the reference signal expanded in the complex plane. A transmission signal vector is calculated by adding a found perturbation vector to the transmission data vector and multiplying the transmission data vector by the linear filter.