Abstract
Weibull random variates (RVs) is naturally of prime importance in wireless communications over fading channels. In this letter, the moment generation function (MGF), probability density function (PDF) and cumulative distribution function (CDF) of the sum of mutually independent Weibull RVs are represented in terms of inverse Laplace transform, and the obtained results are used to analyze the physical layer security performance of a single-input multiple-output system in terms of secrecy outage probability (SOP).