Performance of antenna selection for two-way relay networks with Physical Network Coding

Abstract

In this paper, the performance of a two-way amplify and forward (AF) multi-antenna relay network is presented, where the worse receive signal-to-noise ratio (SNR) of the two end users is maximized. We first derive the exact probability density function (PDF) of receive SNR for two users. Then an approximate expression of SNR in the high-SNR regime is obtained. A closed-form average sum bit error rate (BER) approximation is also derived to quantify the performance of the antenna selection system at high SNR. It is shown by simulation that our analytical result is efficient in estimating the network reliability, especially in the high transmit SNR region.