Statistics of Ratios of Random Variables Arising in Analysis of Wireless Poisson Network

Natalia Ermolova

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Abstract

n this paper, we analyze statistics of some typical ratios of random variables (RVs) occurring in analysis of large-scalewireless networks where node locations can be represented by Poisson point processes. In such networks, fading and path-losseffects are the most important factors affecting the signal strength. We obtain formulas for the probability density, cumulativedistribution, and moment generating functions of ratios of RVs occurring under many typical scenarios in cellular-like, spectrum-sharing, and cooperative wireless networks. All obtained results are valid for arbitrary fading models of propagation paths.
Original languageEnglish
Pages (from-to)603-609
Number of pages7
JournalIET Communications
Volume14
Issue number4
Early online date12 Nov 2019
DOIs
Publication statusPublished - 3 Mar 2020
MoE publication typeA1 Journal article-refereed

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