PDFAbstract: In this paper, the ratio of product of two Rayleigh random variables and Rayleigh random variable (RV) is considered. The level crossing rate (LCR) of ratio of product of two Rayleigh random variables and Rayleigh random variable is evaluated. Using this result, the average fade duration (AFD) of wireless relay communication system with two sections operating over multipath fading channel in the presence of co-channel interference can be calculated. Then, the LCR of the ratio of Rayleigh RV and product of two Rayleigh RVs is determined. The formula is obtained in the closed form. The influence of Rayleigh fading average power on the LCR is analyzed. By using this formula, the AFD of wireless relay system with two sections working over Rayleigh multipath fading channel in the presence of two Rayleigh co-channel interferences could be evaluated.
Keywords: Level crossing rate (LCR), Ratio, Product, Rayleigh random variable, Fading, Co-channel interference
Cite this paper
Dragana Krstic, Mihajlo Stefanovic, Siniša Minic, Miloš Peric. (2018) Analysis of Ratio of One and Product of Two Rayleigh Random Variables and its Application in Telecommunications. International Journal of Communications, 3 , 32-38
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