Exact kappa-mu Sum Statistics

Autor(es)

Almeida Garcia, Fernando Dario ; Parente, Francisco Raimundo Albuquerque ; Yacoub, Michel Daoud ; Santos, Jose Candido Silveira

• Tipo de documento: Artigo Científico
• Fonte: IEEE WIRELESS COMMUNICATIONS LETTERS; v. 12, n. 7, p. 5-pg., 2023-07-01.

Resumo

Sums of random variables are the statistical core in several performance analyses of communications systems. In this letter, we provide a fundamental contribution to this field, deriving original, exact, handy expressions for the probability density function and the cumulative distribution function for the sum of independent and identically distributed kappa-mu variates. Our formulations can be quickly computed in all cases, even in those for which Brennan's integral-the only available exact approach-may take several hours or not compute at all. For application purposes, we use our formulations to investigate the outage probability and the mean bit error rate in equalgain diversity systems. Further contribution includes asymptotic analyses. Numerical simulations validate our findings. (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