The distribution of ratio of random variable and product of two random variables and its application in performance analysis of multi-hop relaying communications over fading channels
نویسندگان
چکیده
In this paper, we present novel closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of ratio of random variable and product of two random variables for the cases where random variables are Rayleigh, Weibull, Nakagami-m and α-μ distributed. An application of obtained results in performance analysis of multi-hop wireless communication systems in different transmission environments is detailed described. The proposed theoretical analysis is also complemented by various graphically presented numerical results. Streszczenie. W artykule zaprezentowano wyrażenia na funkcję gęstości prawdopodobieństwa PDF i kumulacyjną funkcję dystrybucji stosunku zmiennej przypadkowej i iloczynu dwóch zmiennych gdy zmienne przypadkowe są dystrybucją Rayleigh, Weibull, Nakagami-m i α-μ. Analiza ma zastosowanie do bezprzewodowych sieci komunikacyjnych w różnych warunkach transmisji. (Rozkład stosunku zmiennych przypadkowych i iloczynu tych zmiennych oraz wykorzystanie tych parametrów do analizy systemów komunikacji bezprzewodowej)
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