Performance analysis for interference limited two-way relay network with antenna selection

This study presents the performance analysis of multiple-antenna two-way amplify-and-forward relay network in an interference-limited environment. To avoid the high feedback overhead and to fully exploit a multiple-antenna diversity, the authors employ transmit and receive antenna selection at the user node and analog network coding at the relaying node. Specifically, they formulate the exact expressions of the generalised signal-to-interference-plus-noise ratio (SINR). On the basis of the derived SINR, the upper-bounded cumulative distribution function is obtained. Subsequently, the outage probability (OP) and symbol error rate (SER) are determined and investigated. To assess the overall performance of the system, they present approximate but simple expressions for the overall OP (OOP) and overall SER. To gain insights, asymptotic expressions of OP and OOP are provided, which enable the characterisation of the achievable coding gain and diversity order of the system. Besides, they derive upper bounds on the achievable rate based on Jensen's inequality. Furthermore, they formulate three optimisation problems to minimise outage, namely optimal relay location under fixed power allocation, optimal power allocation under fixed relay location, and joint ORL and power allocation. Finally, the tightness of their analysis is attested through Monte Carlo simulation.