Open AccessStatistics of ratios of random variables arising in analysis of wireless Poisson networks
Author(s) -
Ermolova Natalia Y.
Publication year - 2020
Publication title -
iet communications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.355
H-Index - 62
eISSN - 1751-8636
pISSN - 1751-8628
DOI - 10.1049/iet-com.2019.0594
Subject(s) - fading , poisson distribution , random variable , cumulative distribution function , path loss , moment (physics) , statistics , wireless network , moment generating function , mathematics , node (physics) , computer science , wireless , probability density function , statistical physics , telecommunications , decoding methods , physics , structural engineering , classical mechanics , engineering
In this study, the author analyses statistics of some typical ratios of random variables (RVs) occurring in analysis of large‐scale wireless networks where node locations can be represented by Poisson point processes. In such networks, fading and path‐loss effects are the most important factors affecting the signal strength. The author obtains formulas for the probability density, cumulative distribution 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.