The Novel Approach to the Closed-Form Average Bit Error Rate Calculation for the Nakagami-m Fading Channel

TL;DR

This paper introduces a new closed-form method for calculating the average bit error rate in Nakagami-m fading channels, improving accuracy and efficiency over existing approximations.

Contribution

It generalizes the moment generating function approach and links special functions for precise BER calculation in fading channels, extending applicability to various composite channels.

Findings

The method provides accurate BER estimates in Nakagami-m fading.

It demonstrates computational efficiency and time savings compared to traditional approximations.

The approach is verified and can be extended to other channel models.

Abstract

The research presents a procedure of the closed-form average bit error rate evaluation for wireless communication systems in the presence of multipath fading. A generalization of the classical moment generating function is applied, and a connection between the Hankel-type contour-integral representation of the Marcum Q-function and Gauss Q-function is obtained and applied to the analytic derivation of the quadrature amplitude modulated signal average bit error rate in the presence of Nakagami-m fading. The correctness of the obtained solution was verified, and its computational efficiency (in terms of accuracy and time gain), compared with the prevailing approximation, was demonstrated. The proposed methodology can be extended to a wide variety of composite channels.