First- and Second-Order Statistics of Interference-Limited Mobile-to-Mobile Weibull Fading Channel

Abstract

In this paper, we consider a cooperative mobile-to-mobile wireless short-term Weibull fading channel. The source mobile station communicates with the destination via a relay. The channel is considered to be interference-limited, and the interference is present at both relay and the destination. The exact closed-form expressions for the destination mobile station signal-to-interference ratio probability density function and the cumulative distribution function are derived. Approximate numerically efficient closed-form expressions for the level crossing rate and the average fade duration are also derived, using Laplace approximation for a three-fold integral. The influence of the fading channel parameters on the mentioned statistical measures is investigated. The theoretical results are verified by the Monte-Carlo simulation.