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This paper studies the ergodic capacity (EC) of full-duplex (FD) amplify-and-forward (AF) and decode-and-forward (DF) relay system with energy harvesting (EH) for vehicle-to-vehicle (V2V) communications. Unlike previous works on FD-EH systems, we consider the case that both relay and destination are mobile vehicles while the source is a static base station. We mathematically derive the exact closed-form expressions of ECs of both AF and DF protocols of the considered FD-EH-V2V relay system over cascade (double) Rayleigh fading. Our numerical results show that the ECs in the case of the V2V communication system are reduced compared to those in the case of stationary nodes. Also, with a specific value of residual self-interference (RSI), the ECs of the considered FD-EH-V2V relay system can be higher or lower than those of half-duplex- (HD-) EH-V2V system, depending on the average transmission power of the source. Furthermore, when the transmission power of the source and RSI are fixed, the ECs of the considered system can achieve peak values by using optimal EH time duration. On the other hand, the ECs of both AF and DF protocols reach the capacity floors in the high signal-to-noise ratio (SNR) regime due to the RSI impact. Also, the effect of RSI dominates the impact of cascade Rayleigh fading in the high SNR regime. Finally, we validate our analysis approach through Monte-Carlo simulations.

Summary It has been confirmed by many scientists and industrial experts that intelligent reflecting surface (IRS) should be one of the key enabling technologies for sixth‐generation (6G) wireless networks. This paper analyzes the performance of an IRS‐aided full‐duplex (FD) amplify‐and‐forward wireless relay (AFR) network, where the IRS is exploited to enhance the quality of the channel from the source to the relay. We successfully derive the analytical expressions of outage probability (OP), achievable data rate (ADR), and symbol error probability (SEP) of the considered IRS‐FD‐AFR network over Rayleigh fading channel. The corresponding expressions of the IRS‐aided half‐duplex (HD) AFR (IRS‐HD‐AFR) system are also derived as a benchmark to compare. The results demonstrate that the performance of both IRS‐FD‐AFR and IRS‐HD‐AFR systems are greatly improved by increasing the number of reflecting elements ( L) in the IRS. All derived expressions are validated by Monte Carlo simulations.