On the outage probability of dual-hop AF relaying over Nakagami-m fading channels

This paper presents an analytical study on the outage performance of dual-hop amplify-and-forward relaying systems operating over flat Nakagami-m fading channels. More specifically, the cumulative distribution function (CDF) of the end-to-end signal-to-noise ratio (SNR) is derived. We consider the case of non-integer values for fading shape factors, m, at each of two consecutive hops. The tighter analytical expression for the CDF, obtained using the bivariate H-function and G-function, is applied to evaluate the outage probability of the system under study. The analytical results of the outage probability are in accordance with Monte-Carlo simulation results and outperform the previously reported upper bounds for the low and medium SNR.