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Partial decoding has the potential to achieve a larger capacity region than full decoding in Two-Way Relay (TWR) channels. Existing partial decoding realizations are however designed for Gaussian channels and with a static Physical Layer Network Coding (PLNC). In this paper, the authors propose a new solution for joint network coding and channel decoding at the relay, called Pairwise Check Decoding (PCD), for Low-Density ParityCheck (LDPC) coded TWR system over block fading channels. The main idea is to form a check relationship table (checkrelation-tab) for the superimposed LDPC coded packet pair in the Multiple Access (MA) phase in conjunction with an adaptive PLNC mapping in the BroadCast (BC) phase.
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