Highly Accurate and Asymptotic Analysis on the SOP Over SIMO <inline-formula> <tex-math notation="LaTeX">$\alpha$ </tex-math> </inline-formula>–<inline-formula> <tex-math notation="LaTeX">$\mu$ </tex-math> </inline-formula> Fading Channels

Abstract

In order to fill the gap of the mathematical analysis's lack for the secrecy outage probability (SOP) over single-input multiple-output (SIMO) α-μ wiretap fading channels, this letter initially provides highly accurate and asymptotic closed-form expressions for the SOP. The novel highly accurate formulations are derived in a simple and general form in terms of the bivariate Fox's H-function, which is extensively used in the literature. In addition, the asymptotic analysis of the SOP is derived at high signal-to-noise ratio regime. The obtained expressions are numerically validated and compared with the Monte-Carlo simulation results. The derived SOP is in highly accurate match with simulation results for the SIMO case, and a perfect match with simulated results for single-input single-output (SISO) case.