On the Sum of Squared \eta-\mu Random Variates With Application to the Performance of Wireless Communication Systems

TL;DR

This paper derives closed-form expressions for the sum of squared ta-eri variates, relevant for wireless communication performance analysis over ta-eri fading channels, including special cases like Hoyt and Nakagami-m.

Contribution

It introduces new analytical formulas for the sum of squared ta-eri variates and applies them to evaluate wireless system performance, extending existing models.

Findings

Closed-form PDFs and CDFs in terms of Fox's H-bar function.

Analytical bit error rate expressions derived in closed form.

Numerical and Monte Carlo simulations validate the analytical results.

Abstract

The probability density function (PDF) and cumulative distribution function of the sum of L independent but not necessarily identically distributed squared \eta-\mu variates, applicable to the output statistics of maximal ratio combining (MRC) receiver operating over \eta-\mu fading channels that includes the Hoyt and the Nakagami-m models as special cases, is presented in closed-form in terms of the Fox's H-bar function. Further analysis, particularly on the bit error rate via PDF-based approach, is also represented in closed form in terms of the extended Fox's H-bar function (H-hat). The proposed new analytical results complement previous results and are illustrated by extensive numerical and Monte Carlo simulation results.