Performance Analysis of Two-Way Multi-Antenna Multi-Relay Networks With Hardware Impairments

In this paper, a two-way multi-antenna and multi-relay amplify-and-forward (AF) network with hardware impairments is analyzed. The opportunistic relay selection scheme is used in the relay selection. Maximum ratio transmission and maximum ratio combining were used in transmitted and received slot by the multi-antenna relay, respectively. In this paper, we consider two AF protocols, one is variable gain protocol and the other is fixed gain protocol. Especially, the closed-from expressions for the outage probability of the system and the closed-expressions for the throughput of the system are derived, respectively. The system performance at high signal-to-noise ratio (SNR) is very important in real scenes. In order to analyze the impact of hardware impairments on the system at high SNRs, the asymptotic analysis for the system is also derived. In order to analyze the power efficiency, the closed-form expression for the energy-efficiency performance is derived, and a brief analysis is given, which provides a powerful reference for engineering practice. In addition, simulation results are provided to show the correctness of our analysis. From the results, we know that the system will have better performance when the number of relay is growing larger and the impairments' level is growing smaller. Moreover, the results reveal that the outage floor and the throughput bound appear when the hardware impairments exist.