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

Analysis of the average binary error probabilities (ABEP) and average capacity (AC) of wireless communica-tions systems over generalized fading channels have been considered separately in the past. This paper introduces a novel moment generating function (MGF)-based 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. Index Terms Unified performance expression, average bit error rate, average capacity, maximal ratio combining, hyper-Fox’s H fading channels, generalized Gamma fading, composite fading channels, extended generalized-K fading, moment generating function. I