Detection for physical-layer network coding: When perfect global CSI is not available

The existing PNC scheme is with coherent detection at the receivers, where the perfect global CSI is needed. To ensure that PNC can be implemented in practical two-way relaying systems, two detection schemes are presented in this paper, which are named as non-coherent detection and partial-coherent detection for PNC respectively. Specifically non-coherent detection requires for no CSI at the receivers. To further improve the detection performance, partial-coherent detection for PNC is introduced, where imperfect partial CSI can be obtained at the receivers by channel estimation. The decision rules for both two detection schemes are given in the paper, and the simulation results show that our proposed detection schemes are practical and efficient for PNC in Rayleigh fading channels.