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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On the statistics of the ratio of nonconstrained arbitrary alpha-mu random variables: A general framework and applications

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Vega Sanchez, Jose David [1] ; Moya Osorio, Diana Pamela [2] ; Benitez Olivo, Edgar Eduardo [3] ; Alves, Hirley [4] ; Paredes Paredes, Martha Cecilia [1] ; Urquiza Aguiar, Luis [1]
Total Authors: 6
[1] EPN, Dept Elect Telecomunicac & Redes Informac, Quito 170525 - Ecuador
[2] Univ Fed Sao Carlos, Dept Elect Engn, Sao Carlos, SP - Brazil
[3] Sao Paulo State Univ UNESP, Campus Sao Joao da Boa Vista, Sao Joao Da Boa Vista - Brazil
[4] Univ Oulu, Ctr Wireless Commun, Oulu - Finland
Total Affiliations: 4
Document type: Journal article
Web of Science Citations: 0

In this paper, we derive closed-form exact expressions for the main statistics of the ratio of two squared alpha-mu random variables, which are of interest in many scenarios for future wireless networks where generalized distributions are more suitable to fit with field data. Importantly, different from previous proposals, our expressions are general in the sense that are valid for nonconstrained arbitrary values of the parameters of the alpha-mu distribution. Thus, the probability density function, cumulative distribution function, moment generating function, and higher-order moments are given in terms of both (i) the Fox H-function for which we provide a portable and efficient Wolfram Mathematica code and (ii) easily computable series expansions. Our expressions can be used straightforwardly in the performance analysis of a number of wireless communication systems, including either interference-limited scenarios, spectrum sharing, full-duplex, or physical-layer security networks, for which we present the application of the proposed framework. Moreover, closed-form expressions for some classical distributions, derived as special cases from the alpha-mu distribution, are provided as byproducts. The validity of the proposed expressions is confirmed via Monte Carlo simulations. (AU)

FAPESP's process: 17/20990-6 - Ultra-reliable low-latency communications for 5G networks
Grantee:Diana Pamela Moya Osorio
Support type: Scholarships abroad - Research