On the Weibull distribution with arbitrary correlation

This paper studies the performance of the quadri- variate Weibull distribution with arbitrary correlation assuming non-identical fading parameters and average powers. Novel infinite series representations for the joint probability density function (PDF), the cumulative distribution function (CDF) and the product moments are derived. Using these theoretical results, a performance analysis study in terms of outage probability, for receivers employing selection combining (SC) diversity techniques is presented. The proposed mathematical analysis is accompanied by various numerical results, with parameters of interest the fading severity and the power decay factor. Furthermore, equivalent performance evaluation results, obtained by various computer simulations have verified the accuracy of the proposed analytical method.