Performance Analysis of Non-identical Cascaded \(\alpha\)–\(\mu\) Fading Channels

Relying on the fact that, cascaded \(\alpha\)–\(\mu\) distribution provide simplified and excellent fitting to the measurement data compared to the other composite fading model. This work investigates the performance of versatile cascaded non-identical \(\alpha\)–\(\mu\) fading channel. The \(\alpha\)–\(\mu\)/\(\alpha\)–\(\mu\) model has emerged as a generalization of the cascaded line-of-sight multipath fading channels such as Rayleigh, Weibull, and Nakagami-m etc., by appropriately choosing the values of \(\alpha\) and \(\mu\) parameters. More specifically, we present novel closed-form formulations for some of the interested fundamental statistics of the wireless communication system, namely, generalized moment, moment generating function, Error rate (coherent/non-coherent), channel capacity under different transmission policy. The results are expressed in terms of easily implementable well-known Fox’s H function. Also, an asymptotic investigation of all the mentioned metrics is performed, so as to gain more insights of the impact of the key system parameters. The proposed expressions provide flexibility to satisfy different propagation scenarios.