Moment based analysis over generalized fading accompanying hypergeometric and exponential functions with diversity

Abstract

This paper introduces a generalized fading model, exhibiting algebraic, exponential, and hypergeometric functions and presents moment-based analysis. A novel expression for generalized truncated moments is derived, serving as a foundation for evaluating various performance metrics. Specifically, metrics such as the amount of fading (AoF), channel quality estimation index (CQEI), ergodic capacity, channel inversion with fixed rate (CIFR), truncated CIFR, effective rate, and block-length error rate (BLER) for short-packet communication are analyzed. The study extends the framework to include maximal ratio combining (MRC) diversity, assuming all paths are independent and identically distributed (i.i.d.). Low and high-power regimes are also examined to provide deeper insights into capacity analysis. The proposed methodologies are validated through extensive Monte Carlo simulations, confirming their accuracy and applicability. © 2025 Elsevier B.V.