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Entree


A Broad Gaussian Class of Power Sums Are Gamma Mixtures

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Autor(es):
Garcia, Fernando Dario Almeida ; Parente, Francisco Raimundo Albuquerque ; Calmon, Flavio du Pin ; Santos Filho, Jose Candido Silveira
Número total de Autores: 4
Tipo de documento: Artigo Científico
Fonte: IEEE TRANSACTIONS ON WIRELESS COMMUNICATIONS; v. 24, n. 1, p. 15-pg., 2025-01-01.
Resumo

The aim of this paper is threefold: 1) we introduce a unified statistical characterization for the instantaneous power of a plethora of Gaussian-based fading models; 2) we propose a general framework for the power sum of either independent and identically distributed (i.i.d.) or independent and non-identically distributed (i.non-i.d.) fading distributions; and 3) we provide a unified performance assessment of wireless communications systems in the presence of small-scale fading channels. To accomplish these three goals, we first show that the instantaneous power of a broad Gaussian class of fading models is governed by a mixture of gamma (MG) distribution. Later, we propose novel, tractable, and efficient solutions for the exact sum statistics of i.i.d. and i.non-i.d. MG variates. Lastly, we show that two key performance indicators-namely, the average bit-error rate and the outage probability-of a maximal-ratio combining (MRC) diversity receiver subject to a wide variety of Gaussian-based fading channels can be expressed, in a unified fashion, as a weighted sum of the performance indicators of a single-branch wireless system subject to independent Nakagami-m fading channels. Extensive numerical simulations reveal the outstanding improvement in computational efficiency and mathematical tractability of our derived expressions when compared with state-of-the-art solutions. (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: 18/25009-4 - Caracterização assintótica de arranjos de enlaces em sistemas sem fio de gerações avançadas
Beneficiário:Francisco Raimundo Albuquerque Parente
Modalidade de apoio: Bolsas no Brasil - Doutorado