Outage probability of multi-hop full-duplex DF relay system over Nakagami-m fading channels

The full-duplex relay is an expansion of relay technique. In this paper, we investigate the outage performance of multi-hop full-duplex decode-and-forward (DF) relay system over Nakagami-m fading channels. The theoretical expression based on the infinite Gamma series representation for the end-to-end outage probability of multi-hop full-duplex DF relay is derived for the first time. Besides, a loose lower bound and a highly accurate approximation for the outage probability are presented. With the increasing of self-interference energy, the outage performance of full-duplex system is even worse than that of half-duplex system. Moreover, the simulation results confirm the validity of the motivation and the analysis.