A Novel Unified Expression for the Capacity and Bit Error Probability of Wireless Communication Systems over Generalized Fading Channels

TL;DR

This paper introduces a unified mathematical framework using the MGF for analyzing both capacity and error probability in wireless systems over generalized fading channels, simplifying performance evaluation across diverse scenarios.

Contribution

It presents a novel unified expression for ABEP and AC using MGF and proposes the hyper-Fox's H fading model as a comprehensive distribution for various fading environments.

Findings

Unified performance expression applicable to many fading models

Validation through numerical examples confirms accuracy

Simplifies analysis of wireless system performance

Abstract

Analysis of the average binary error probabilities (ABEP) and average capacity (AC) of wireless communications systems over generalized fading channels have been considered separately in the past. This paper introduces a novel moment generating function (MGF)-based \emph{unified expression} for the ABEP and AC of single and multiple link communication with maximal ratio combining. In addition, this paper proposes the hyper-Fox's H fading model as a unified fading distribution of a majority of the well-known generalized fading models. As such, we offer a generic unified performance expression that can be easily calculated and that is applicable to a wide variety of fading scenarios. The mathematical formalism is illustrated with some selected numerical examples that validate the correctness of our newly derived results.