ovel Expressions for Ricean Sum Distributions and Densitie

Author(s)

Almeida Garcia, Fernando Dario ^[1] ; Carvajal Mora, Henry Ramiro ^[2] ; Orozco Garzon, Nathaly Veronica ^[2]

Affiliation

^[1] Univ Estadual Campinas, Dept Commun, Wireless Technol Lab, Sch Elect & Comp Engn, BR-13083852 Campinas - Brazil

^[2] Univ Las Amer UDLA, Fac Engn & Appl Sci FICA, Telecommun Engn, Quito 170125 - Ecuador

• Document type: Journal article
• Source: IEEE COMMUNICATIONS LETTERS; v. 25, n. 11, p. 3513-3517, NOV 2021.
• Web of Science Citations: 0

Abstract

This letter provides exact expressions for the sum statistics of independent and identically distributed Ricean random variables. More precisely, we derive new compact, fast, and manageable solutions for both the probability density function and the cumulative distribution function of the considered sum. Numerical results verified the validity of our expressions. In particular, our solutions present a faster and efficient way to evaluate the exact Ricean sum, overcoming the traditional multifold Brennan's integral approach. In order to show the wide applicability of our expressions, we evaluate the performance of an N-branch equal-gain combining diversity system over Ricean fading channels. More specifically, we derive exact and closed-form asymptotic expressions for the outage probability. (AU)

• FAPESP's process: 21/03923-9 - An improved framework for sums of Gaussian-class random variables with applications to radar and communication systems
• Grantee: Fernando Darío Almeida García
• Support Opportunities: Scholarships in Brazil - Post-Doctoral