Convergence analysis for channel-coded physical layer network coding in Gaussian two-way relay channels

This paper considers an irregular repeat-accumulate (IRA) coded physical layer network coding scheme in a Gaussian two-way relay channel. We address the convergence behavior of the iterative receiver of the channel coded PNC at the relay. The proposed method is based on a non-trivial extension of the extrinsic information transfer (EXIT) chart analysis to the PNC scheme with superimposed ternary signal. We develop a new method to model the a priori information for the component decoders in the PNC scheme. This proposed method enables the convergence analysis and thus facilitates the design of channel-coded PNC schemes.