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To combat fading in wireless channel, a physical layer network coding scheme based on dual relay selection is proposed in this paper. In the proposed scheme, two users first broadcast their respective information to all the relays, then two relays are selected based on some relay section scheme where Alamouti space-time coding and physical layer network coding are combined which can be called ST-PNC. Focusing on the bi- directional wireless relaying channels, outage probability is derived and then power allocation is analyzed. Simulation results show that this scheme can efficiently combat channel fading and the more relays involved, the better system performance can be obtained.