Joint Design of Physical Network Coding and Source Coding in Two-Way Relaying Systems

We focus on the problems of physical network coding based on DNF, in the scenario of two-way wireless relaying systems, in frequency-flat Nakagami-Rice fading channels. We propose a novel joint design scheme which considers physical network coding and source coding together. The sequence of symbols with hybrid cardinalities is converted into a sequence of symbols with unifying 4-ary cardinality by using an appropriately designed source coding. The a priori probabilities used as the input of source coding to achieve the optimal lossless source coding can be obtained in advance, according to the statistics of channel conditions. The complexity of the transceiver systems can be reduced significantly, and the reliability of the transmission can be improved, although the price of our scheme is that it has to transmit a little bit more extra symbols. Simulation results demonstrate that the proposed joint design scheme is advantageous because we only use a very simple method to unify the cardinality of hybrid symbols, while the cost of our scheme is acceptable.