Abstract
In this paper, we study a two-way relaying system with analog network coding whereby both the relay and the two sources are under the effect of erroneous channel state information (CSI) and network interference that originate from a Poisson field of interferers. Our contribution is twofold: 1) We characterize the interference affecting the aforementioned nodes by presenting a general model that incorporates the expected correlation of the interference process that affects the relay, which in turn affects the two sources; 2) by deriving the interference statistics, particularly its first moment, we also derive analytical formulas for the distribution of the signal-to-interference-plus-noise ratio (SINR) of the two sources in the high-SINR region, which reveal that in that region, the amount of correlation between the interference processes affecting the relay and the two sources does not affect the SINR distribution. These statistics are subsequently used to derive analytical expressions of the average sum symbol error rate (SER) and the achievable average sum rate of the system. Finally, the theoretical results are corroborated by means of Monte Carlo simulations.
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