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Full duplex communication system has the potential to double the spectral efficiency compared to traditional half duplex communication system. However self interference in full duplex relay is considered as the major concern to the performance of system. In this paper, performance of two way relaying communication system is studied with a full duplex relay. Specifically, the probability density function (PDF) of the signal-to-interference-plus-noise ratio (SINR) is derived. By using the derived PDF, closed form expressions for average bit error rate (BER) is derived for various binary modulation schemes such as, coherent binary phase shift keying (BPSK), differential BPSK, coherent binary frequency shift keying (BFSK), and non-coherent BFSK. Moreover, the ergodic capacity of the considered system is also analyzed
5. Conclusion and future work
In this paper a bi-directional relaying system with DxF strategy is considered. In Rayleigh fading environment, the PDF of the instantaneous received SINR in the destination is derived. Using the PDF based approach the average BER is derived for various binary modulation schemes like binary phase shift keying (BPSK), differential BPSK, coherent binary frequency shift keying (BFSK), and non-coherent BFSK. Additionally a closed form expression for ergodic capacity of the considered system is also derived. It can be concluded that the SI in the full duplex relay node significantly affects the ergodic capacity and average BER performance of the considered bi-directional relaying system. Consideration of imperfect state channel state information in the derivation will effect the overall system. Complexity will increase in the calculation of closed form expressions for BER and capacity. This scenario is currently being investigated as the part of future work.