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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

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

Texto completo
Autor(es):
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]
Número total de Autores: 6
Afiliação do(s) autor(es):
[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
Número total de Afiliações: 4
Tipo de documento: Artigo Científico
Fonte: TRANSACTIONS ON EMERGING TELECOMMUNICATIONS TECHNOLOGIES; v. 31, n. 3 DEC 2019.
Citações Web of Science: 0
Resumo

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)

Processo FAPESP: 17/20990-6 - Comunicações ultra-confiáveis e de baixa latência para redes 5G
Beneficiário:Diana Pamela Moya Osorio
Linha de fomento: Bolsas no Exterior - Pesquisa