Exact Outage Probability of Dual-Hop CSI-Assisted AF Relaying Over Nakagami-m Fading Channels

In this paper, considering dual-hop channel state information (CSI)-assisted amplify-and-forward (AF) relaying over Nakagami-m fading channels, the cumulative distribution function (CDF) of the endto-end signal-to-noise ratio (SNR) is derived. In particular, when the fading shape factors m1 and m2 at consecutive hops take non-integer values, the bivariate H-function and G-function are exploited to obtain an exact analytical expression for the CDF. The obtained CDF is then applied to evaluate the outage performance of the system under study. The analytical results of outage probability coincide exactly with MonteCarlo simulation results and outperform the previously reported upper bounds in the low and medium SNR regions.