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On the Sum of Ratios of α-μ Variates With Application to Composite Fading Channels

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Autor(es):
Jimenez, Lenin Patricio Jimenez ; Garcia, Fernando Dario Almeida ; Alvarado, Maria Cecilia Luna ; Santos Filho, Jose Candido S. ; Yacoub, Michel Daoud ; Fraidenraich, Gustavo
Número total de Autores: 6
Tipo de documento: Artigo Científico
Fonte: IEEE TRANSACTIONS ON VEHICULAR TECHNOLOGY; v. 74, n. 4, p. 6-pg., 2025-04-01.
Resumo

Sums of random variables play a fundamental role in assessing the performance of wireless communication systems. This work introduces novel and exact formulations for the probability density function and the cumulative distribution function of the sum of ratios of L independent alpha-mu variates. These formulations are presented in terms of tractable fast-converging series. To the best of the author's knowledge, these are the first reported exact solutions for the sum statistics of ratios of alpha-mu variates. Based upon these expressions, we analyze the performance of equal-gain combining and maximal-ratio combining diversity receivers operating over composite fading channels, i.e., in the presence of both multipath and shadowing fading effects. For the analysis, we consider that multiphath fading follows an alpha-mu distribution, whereas shadowing fading is governed by an inverse alpha-mu distribution. Exact and asymptotic expressions are obtained for the key performance metrics of the system, specifically the outage probability and the average-symbol error rate. Interestingly, the derived performance metrics demonstrated that the system's diversity gain solely depends on the multipath distribution parameters and the number of branches of the combining receivers. The validity of all our findings is confirmed via Monte Carlo simulations. (AU)

Processo FAPESP: 21/03923-9 - Um arcabouço aprimorado para somas de variáveis aleatórias de classe Gaussiana com aplicações em sistemas de radar e comunicação
Beneficiário:Fernando Darío Almeida García
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
Processo FAPESP: 23/02578-1 - Modelos de desvanecimento multimodais para sistemas de comunicações sem fio de gerações avançadas
Beneficiário:Maria Cecilia Luna Alvarado
Modalidade de apoio: Bolsas no Brasil - Doutorado