Exact Outage Probability of Dual-Hop CSI-Assisted AF Relaying Over Nakagami-$m$ Fading Channels
Minghua Xia, Yik‐Chung Wu, Sonia Aı̈ssa · IEEE Transactions on Signal Processing · 2012
In this correspondence, considering dual-hop channel state information (CSI)-assisted amplify-and-forward (AF) relaying over Nakagami-mfading channels, the cumulative distribution function (CDF) of the end-to-end signal-to-noise ratio (SNR) is derived. In particular, when the fading shape factorsm1andm2at consecutive hops take non-integer values, the bivariateH-function andG-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 Monte-Carlo simulation results and outperform the previously reported upper bounds in the low and medium SNR regions.