Title
On the Distribution of the Ratio of Products of Fisher-Snedecor $\mathcal {F}$ Random Variables and Its Applications
Abstract
The Fisher-Snedecor <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {F}$</tex-math></inline-formula> distribution has been recently proposed as a more accurate and mathematically tractable composite fading model than traditional established models in some practical cases. In this paper, we firstly derive exact closed-form expressions for the main statistical characterizations of the ratio of products of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {F}$</tex-math></inline-formula> -distributed random variables, including the probability density function, the cumulative distribution function and the moment generating function. Secondly, simple and tight approximations to the distribution of products and ratio of products of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"><tex-math notation="LaTeX">$\mathcal {F}$</tex-math></inline-formula> -distributed random variables are presented. These analytical results can be readily employed to evaluate the performance of several emerging system configurations, including full-duplex relaying systems operating in the presence of co-channel interference and wireless communication systems enhanced with physical-layer security. The proposed mathematical analysis is substantiated by numerically evaluated results, accompanied by equivalent ones obtained using Monte Carlo simulations.
Year
DOI
Venue
2020
10.1109/TVT.2019.2961427
IEEE Transactions on Vehicular Technology
Keywords
DocType
Volume
Fisher-Snedecor $\mathcal {F}$ distribution,performance analysis,physical layer security,full-duplex relaying networks
Journal
69
Issue
ISSN
Citations 
2
0018-9545
3
PageRank 
References 
Authors
0.38
0
6
Name
Order
Citations
PageRank
Hongyang Du1141.90
Jiayi Zhang291174.44
Kostas P. Peppas317119.24
Hui Zhao430.72
Bo Ai51581185.94
Xiaodan Zhang6258.37