Switched Diversity Receivers over Correlated Weibull Fading Channels

The problem of analyzing the performance of switch and stay combing (SSC) diversity receivers, operating over correlated and not necessarily identical distributed Weibull fading channels is considered in this paper. By means of a convenient expression for the bivariate Weibull distribution, the probability density function (PDF) of the SSC output signal-to-noise ratio (SNR) is derived in terms of the first order Marcum´s Q-function. The moments of the output SNR and the corresponding cumulative distribution function (CDF) are also obtained in closed form and are utilized to derive expressions for the average output SNR, amount of fading and outage probability. By using a rapidly convergent infinite series representation for the bivariate Weibull distribution, an analytical expression for the moments generating function (MGF) is derived. The MGF can be efficiently used to evaluate the average bit error probability (ABEP) for several modulation schemes. The proposed mathematical analysis is complimented by various numerical evaluated results, which evaluate the effects of fading severity and correlation on the overall system performance