Statistical Characteristic of Ratio and Product of Rician Random Variables and its Application in Analysis of Wireless Communication Systems

Abstract: In this paper, the product of two Rician random variables, the ratio of two Rician random variables, the ratio of Rician random variable and product of two Rician random variables, and the ratio of product of two Rician random variables and Rician random variable are considered. The expressions for the level crossing rate of product of two Rician random processes, ratio of two Rician random processes, ratio of Rician random process and product of two Rician random processes, and ratio of product of two Rician random processes and Rician random process are derived. We use those results for calculation the average fade duration of wireless communication system operating over Rician multipath fading channels. The influence of Rician factor K on the level crossing rate is analyzed and discussed.