The novel approach to the closed-form average bit error rate calculation for the Nakagami-m fading channel

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. (c) 2022 Elsevier Inc.

Automated summary

The research presents a closed-form evaluation procedure for the average bit error rate in wireless communication systems with multipath fading. It applies a generalized version of the classical moment generating function and establishes a connection between the Hankel-type contour-integral representation of the Marcum Q-function and Gauss Q-function. This connection is used to analytically calculate the average bit error rate of quadrature amplitude modulated signals in Nakagami-m fading. The obtained solution is verified and shown to be computationally efficient compared to existing approximations. The proposed methodology has potential applications in various composite channels.