The combination of full-duplex(FD)communication and two-way relaying(TWR)provides higher spectral efficiency
but the decoding reliability is worsen by residual self-interference(RSI).The error performance of non-orthogonal FD-TWR is investigated.With the assumption that the relay has more efficient self-interference cancellation than the user nodes
the diversity and coding gains are derived with the help of the approximate expression of pair-wise error probability in the high transmission power region.Based on the coding structure
the achievability of the diversity gain is analyzed.Compared with the half-duplex TWR system with the same spectral efficiency
the FD-TWR system with suppressed RSI and full-diversity precoder has the superiority of 20dB on the error performance