Closed-Form Analysis of the $\alpha$-Beaulieu-Xie Shadowed Fading Channel

TL;DR

This paper introduces an $oldsymbol{ extit{ extalpha}}$-modified Beaulieu-Xie shadowed fading channel model, providing closed-form statistical descriptions and analyzing its impact on bit error rate and capacity in wireless communications.

Contribution

It presents the first closed-form analytical description of the $ extalpha$-modified shadowed fading channel, including statistical characteristics and performance metrics.

Findings

High accuracy of analytical expressions confirmed by numerical analysis

Dependence of bit error probability on channel nonlinearity effects demonstrated

Asymptotic expressions for capacity and error rate derived

Abstract

The presented research proposes the $\alpha$-modification of the Beaulieu-Xie shadowed fading channel for wireless communications. For the assumed model the closed-form analytical description of the basic statistical characteristics is carried out (i.e., probability density function, cumulative distribution function, and their asymptotics). The derived statistical description is exemplified on the problems of the average bit error rate and ergodic capacity calculation, for which the exact analytic and high signal-to-noise ratio asymptotic expressions are derived. The performed extensive numerical analysis demonstrates high correspondence with the analytical work and helps to study the dependence of the channel nonlinearity effects on the bit error probability.