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

Detalhes bibliográficos
Autor(a) principal: Vega Sánchez, José David
Data de Publicação: 2020
Outros Autores: Moya Osorio, Diana Pamela, Benitez Olivo, Edgar Eduardo [UNESP], Alves, Hirley, Paredes Paredes, Martha Cecilia, Urquiza Aguiar, Luis
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1002/ett.3832
http://hdl.handle.net/11449/198297
Resumo: In this paper, we derive closed-form exact expressions for the main statistics of the ratio of two squared α-μ 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 α-μ 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 α-μ distribution, are provided as byproducts. The validity of the proposed expressions is confirmed via Monte Carlo simulations.
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spelling On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applicationsIn this paper, we derive closed-form exact expressions for the main statistics of the ratio of two squared α-μ 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 α-μ 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 α-μ distribution, are provided as byproducts. The validity of the proposed expressions is confirmed via Monte Carlo simulations.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Escuela Politécnica NacionalDepartamento de Electrónica Telecomunicaciones y Redes de Información Escuela Politécnica NacionalDepartment of Electrical Engineering Federal University of São CarlosSão Paulo State University (UNESP) Campus of São João da Boa VistaCentre for Wireless Communications University of OuluSão Paulo State University (UNESP) Campus of São João da Boa VistaFAPESP: 2017/20990-6Escuela Politécnica Nacional: PIJ-16-01Escuela Politécnica NacionalUniversidade Federal de São Carlos (UFSCar)Universidade Estadual Paulista (Unesp)University of OuluVega Sánchez, José DavidMoya Osorio, Diana PamelaBenitez Olivo, Edgar Eduardo [UNESP]Alves, HirleyParedes Paredes, Martha CeciliaUrquiza Aguiar, Luis2020-12-12T01:08:56Z2020-12-12T01:08:56Z2020-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1002/ett.3832Transactions on Emerging Telecommunications Technologies, v. 31, n. 3, 2020.2161-39152161-5748http://hdl.handle.net/11449/19829710.1002/ett.38322-s2.0-85076737458Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengTransactions on Emerging Telecommunications Technologiesinfo:eu-repo/semantics/openAccess2021-10-23T10:18:16Zoai:repositorio.unesp.br:11449/198297Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T17:31:53.230450Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applications
title On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applications
spellingShingle On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applications
Vega Sánchez, José David
title_short On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applications
title_full On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applications
title_fullStr On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applications
title_full_unstemmed On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applications
title_sort On the statistics of the ratio of nonconstrained arbitrary α-μ random variables: A general framework and applications
author Vega Sánchez, José David
author_facet Vega Sánchez, José David
Moya Osorio, Diana Pamela
Benitez Olivo, Edgar Eduardo [UNESP]
Alves, Hirley
Paredes Paredes, Martha Cecilia
Urquiza Aguiar, Luis
author_role author
author2 Moya Osorio, Diana Pamela
Benitez Olivo, Edgar Eduardo [UNESP]
Alves, Hirley
Paredes Paredes, Martha Cecilia
Urquiza Aguiar, Luis
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Escuela Politécnica Nacional
Universidade Federal de São Carlos (UFSCar)
Universidade Estadual Paulista (Unesp)
University of Oulu
dc.contributor.author.fl_str_mv Vega Sánchez, José David
Moya Osorio, Diana Pamela
Benitez Olivo, Edgar Eduardo [UNESP]
Alves, Hirley
Paredes Paredes, Martha Cecilia
Urquiza Aguiar, Luis
description In this paper, we derive closed-form exact expressions for the main statistics of the ratio of two squared α-μ 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 α-μ 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 α-μ distribution, are provided as byproducts. The validity of the proposed expressions is confirmed via Monte Carlo simulations.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T01:08:56Z
2020-12-12T01:08:56Z
2020-03-01
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1002/ett.3832
Transactions on Emerging Telecommunications Technologies, v. 31, n. 3, 2020.
2161-3915
2161-5748
http://hdl.handle.net/11449/198297
10.1002/ett.3832
2-s2.0-85076737458
url http://dx.doi.org/10.1002/ett.3832
http://hdl.handle.net/11449/198297
identifier_str_mv Transactions on Emerging Telecommunications Technologies, v. 31, n. 3, 2020.
2161-3915
2161-5748
10.1002/ett.3832
2-s2.0-85076737458
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Transactions on Emerging Telecommunications Technologies
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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