Approximate Error Probability Analysis of L-Branch MRC System over λ-μ Fading Environments

The increase in research conducted on next-generation communication systems has directed research interest toward new modulation schemes, channel models, and diversity techniques that promise enhanced efficiency. Recently, new analytical channel models capable of better modeling the wireless communication environment have been developed. In this study, the approximate error performance of hexagonal quadrature amplitude modulation (HQAM) in λ- μ fading channels for multi-branch single-input multiple-output (SIMO) systems is investigated. An analytical expression for the error probability of the considered system is derived using the Prony approximation for the Gaussian Q function. Subsequently, an error probability expression for the considered system is proposed. Comparative results between the approximate results obtained from the derived expression and the exact simulation results are presented. Different scenarios are evaluated to analyze the effects of channel fading parameters, the number of transmission branches, and modulation levels, resulting in numerical outcomes. Ultimately, it was observed that the approximate results obtained from the proposed expression closely matched the exact simulation results, confirming the accuracy of the proposed analytical expression.