Compute-and-forward-based physical layer network coding( PNC) scheme is investigated for wireless two-way relay channel.The achievable rates are derived both for AWGN channel and fading channel. To achieve a higher transmission rate for fading channel,a new transmission scheme using channel inversion precoding is proposed.It is revealed that,with the proposed channel-aware precoding scheme,the communication performance can be improved enormously. For two-way relay channel,the scheme based on compute-and-for...