Effective rate analysis over Fluctuating Beckmann fading channels

TL;DR

This paper derives a comprehensive analytical expression for the effective rate over Fluctuating Beckmann fading channels using advanced mathematical functions, validated by simulations and numerical analysis.

Contribution

It introduces a novel analytical framework for calculating the effective rate over FB fading channels using the MGF and EGBMGF, including exact solutions for specific parameters.

Findings

Validated analytical expressions with Monte Carlo simulations

Derived tractable formulas for arbitrary fading parameters

Confirmed accuracy through numerical results

Abstract

The effective rate of Fluctuating Beckmann (FB) fading channel is analysed. The moment generating function (MGF) of the instantaneous signal-to-noise (SNR) is used first to derive the effective rate for arbitrary values of the fading parameters in terms of the extended generalised bivariate Meijer's-$G$ function (EGBMGF). For integer valued of the multipath and shadowing severity fading parameters, the probability density function (PDF) of the instantaneous SNR is employed. To this end, simple exact mathematically tractable analytic expression is obtained. The Monte Carlo simulations and the numerical results are presented to verify the validation of our analysis.