Statistical modeling of fading channel statistics based on SIRP and H-functions

For wireless communication, fading is the dominant factor that reduces the performance of the system. Under various outdoor/indoor fading scenarios, statistical modeling of envelope distributions, such as Rayleigh, Rician, exponential, Nakagami-m, Weibull, lognormal, etc., have been proposed. We show that spherically-invariant random processes (SIRP), Mellin transform, and Fox H-functions, can be used to model these fading statistics. This approach can be used to obtain various explicit performances of fading communication systems.