Complex Low Density Lattice Codes to Physical Layer Network Coding

In this paper we present a physical-layer network coding (PNC) scheme based on the recently developed complex low density lattice codes (CLDLC). CLDLC has high coding gain, good algebraic properties, and better coding gain at low dimension than real LDLC, which make it a good candidate for PNC. We show a parametric decoder for CLDLC, and demonstrate, via simulation that CLDLC-based PNC achieves good performance in a two way relay channel.