Higher order statistics for discrete Weibull fading channel: An alternate formulation

Higher order fading statistics for continuous process has been modeled and explored for various existing channels such as Rayleigh, Ricean and Nakagami-m, to a great extent. The inherent randomness in wireless channels is one of emerging and open research topic, and as this randomness is highly correlated therefore discrete model have been proposed earlier. In this paper, an alternative formulation of higher order statistics such as level crossing rate and average fade duration in terms of cumulative distribution function and its bivariate function is presented for discrete Weibull fading channel sampled at a certain sampling interval, and is expressed in terms of Marcum-Q function. To reliably characterize the fading severity, close-form expressions for the LCR and AFD are given along with numerical examples to illustrate the exactness of proposed expressions.