  A new method for capacity and spectral efficiency increases is a full-duplex
(FD) communication, where sending and receiving are done simultaneously. Hence,
severe interference leaked from the transmitter to the receiver, which can
disrupt the system's operation completely. For interference reduction, the
transceiver tries to estimate the interfering symbols to remove their effects.
A typical method is to use the Hammerstein model. In this method, nonlinear
power amplifier (PA) and multipath channel are modeled with a successive
nonlinear system and a finite impulse response (FIR) filter. Then, the model
parameters are adjusted, and interference symbols are estimated from the
transmitted symbols. In the Hammerstein method, the interference symbols are
estimated directly from the transmitted symbols. But practically, the
transmitted symbols first pass through the pulse-shaping filter and become a
signal. Then, this signal passes through the nonlinear PA and communication
channel. Finally, the received signal is filtered by the matched filter (MF) at
the receiver and converted to the symbols again. In this procedure, the
amplifier and the communication channel affect the transmitted signal directly
and distort transmitted symbols indirectly. Therefore, in the practical
situation, when we consider the transmitter's pulse-shaping filter and the
receiver's MF, the estimated symbols with the Hammerstein method are erroneous.
To solve this problem, a new MF at the receiver is proposed and adjusted
according to the interfering signal. We have shown that this method is far
better than the Hammerstein method.
