Nakagami High-Order Statistics from a Different Perspective

The Nakagami fading signal has been traditionally modeled as a sum of multipath Rayleigh components. Recently, an alternative Nakagami model, particularly attractive for simulation, has been proposed in the literature: a single Rayleigh signal propagating over a nonlinear path. Here, we derive many important high-order statistics associated to this model (second-order distribution, autocorrelation, joint distribution of the envelope and its time derivative, average outage rate, and average outage duration) and compare these statistics to those of the traditional model, widely assigned to Nakagami fading. We show that the two models lead to very different highorder statistics, except for the autocorrelations, which are indeed similar.