Unified theory on wireless communication fading statistics based on SIRP

Under various outdoor/indoor narrowband flat fading scenarios, a variety of statistical models of envelope distributions, such as Rayleigh, Rician, exponential, Nakagami-m, Weibull, lognormal, Kv etc., have been proposed. We show that spherically-invariant random processes (SIRP) and Fox H-functions can be used to provide a unified theory to model these fading channel statistics. Various performance measures of fading communication systems, such as error probability and "amount of fading," can be evaluated using the SIRP statistical characterization.

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