Physical layer network coding with antenna selection

In this paper, two different physical layer network coding (PLNC) systems that apply antenna selection technique at the relay, consisting of two single-antenna terminals and a multi-antenna relay are proposed. The bound expressions of symbol error rate (SER) of the systems over frequency non-selective and slowly Rayleigh fading channels for M-PSK modulation are derived by using the moment generating function (MGF) method. In addition, Monte Carlo SER simulation results are given for both systems. According to the obtained theoretical and simulation results, diversity order of the systems is equal to the number of total antennas at the relay, and thus it is shown that error performance of the conventional PLNC system is significantly improved by the proposed systems. Also, SER performances of the proposed systems are compared with each other.