An Accurate Approximation to the Distribution of the Sum of Equally Correlated Nakagami-m Envelopes and its Application in Equal Gain Diversity Receivers

TL;DR

This paper introduces a precise approximation for the distribution of the sum of equally correlated Nakagami-m envelopes and applies it to evaluate the performance of EGC receivers in correlated fading channels.

Contribution

It provides a new accurate approximation for the sum distribution of correlated Nakagami-m variables and analyzes EGC receiver performance using this model.

Findings

The approximation closely matches numerical and simulation results.

The analysis confirms the validity of the approximation in practical scenarios.

Performance metrics of EGC receivers are accurately predicted using the new distribution.

Abstract

We present a novel and accurate approximation for the distribution of the sum of equally correlated Nakagami-m variates. Ascertaining on this result we study the performance of Equal Gain Combining (EGC) receivers, operating over equally correlating fading channels. Numerical results and simulations show the accuracy of the proposed approximation and the validity of the mathematical analysis.