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On the Exact Sum of Products of Rayleigh Envelopes With Application to RIS

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Autor(es):
Alvarado, Maria Cecilia Luna ; da Silva, Carlos Rafael Nogueira ; Jimenez, Lenin Patricio Jimenez ; Garcia, Fernando Dario Almeida ; Fraidenraich, Gustavo ; Silveira, S. Jose Candido ; Yacoub, Michel Daoud
Número total de Autores: 7
Tipo de documento: Artigo Científico
Fonte: IEEE WIRELESS COMMUNICATIONS LETTERS; v. 13, n. 8, p. 5-pg., 2024-08-01.
Resumo

The sum of products of random variables arises in many applications, particularly in wireless communications. However, the analytical derivation of essential statistics, such as the probability density function and cumulative distribution function, still purveys significant challenges. The objective of this work is to derive exact formulations for the density and distribution of the sum of an arbitrary N instances, each comprising L-n, n is an element of {1, 2,& mldr;, N} products of independent Rayleigh-distributed variates. This renders our exact formulations rather flexible to comprise different fading scenarios. Based on our findings, we investigate the performance of a communication system employing a reconfigurable intelligent surface (RIS) by deriving key metrics, such as outage probability and average bit error rate. Also, we employ the central limit theorem to approximate the sum of envelope products and performance metrics. In addition, we conduct an asymptotic analysis to deepen our understanding of the system's performance. Specifically, we obtain simple closed-form expressions for all the metrics derived here. Our analytical results are validated through Monte Carlo simulations. (AU)

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
Processo FAPESP: 22/13901-5 - Estimação de canal e caracterização de sistemas de comunicações sem fio assistidos por superfícies inteligentes reconfiguráveis
Beneficiário:Fernando Darío Almeida García
Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado