Symbol Error Rate of Energy Harvesting Full-Duplex Relay Systems over Cascade Rayleigh Fading Channels

In this paper, we mathematically analyze the performance of an energy harvesting (EH) full-duplex (FD) decode-and-forward (DF) relay system. Unlike previous works on EH-FD relay systems, we consider the case of source is static while both relay and destination are mobile. Thus, the relay - destination channel is cascade (double) Rayleigh fading while the source - relay channel is Rayleigh fading. We derive the exact closed-form expression of symbol error rate (SER) of the considered EH-FD relay system under the impacts of the cascade Rayleigh fading channels and the residual self-interference (RSI) due to FD mode. Numerical results show a significant performance degradation because of the cascade Rayleigh fading channels. Furthermore, the SER goes to error floor due to the impact of the RSI at high signal-to-noise ratio (SNR) region. We see that there is an optimal value of the EH time duration that minimizes the SER of the considered EH-FD relay system. Monte Carlo simulations are given to validate all analysis results.