Joint physical network coding and LDPC decoding for two way wireless relaying

In this paper, we investigate the joint design of channel and network coding in bi-directional relaying systems and propose a combined low complexity physical network coding and LDPC decoding scheme. For the same LDPC codes employed at both source nodes, we show that the relay can decode the network coded codewords from the superimposed signal received from the BPSK-modulated multiple-access channel. Simulation results show that this novel joint physical network coding and LDPC decoding method outperforms the existing MMSE network coding and LDPC decoding method over the AWGN and complex MAC channel.