A unified performance analysis of digital communication with dual selective combining diversity over correlated Rayleigh and Nakagami-m fading channels

Using a simple finite integral representation for the bivariate Rayleigh cu mulative distribution function recently discovered by the authors, we prese nt expressions for the outage probability and average error probability per formances of a dual selective diversity system with correlated slow Rayleig h fading either in closed form (in particular for binary differential phase -shift keying) or in terms of a single integral with finite limits and an i ntegrand composed of elementary (exponential and trigonometric) functions. Because of their simple form, these expressions readily allow numerical eva luation for cases of practical interest, The results are also extended to t he case of slow Nakagami-m fading using an alternate representation of the generalized Marcum Q-function.