A closed-form upper-bound for the distribution of the weighted sum of Rayleigh variates

George K. Karagiannidis; Theodoros A. Tsiftsis; Nikos C. Sagias

doi:10.1109/LCOMM.2005.1461673

A closed-form upper-bound for the distribution of the weighted sum of Rayleigh variates

George K. Karagiannidis, Theodoros A. Tsiftsis, Nikos C. Sagias

Department of Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

22 Citations (Scopus)

Abstract

The problem of finding the distribution of the sum of more than two Rayleigh fading envelopes has never been solved in terms of tabulated functions. In this letter, we present a closed-form union upper-bound for the cumulative distribution function of the weighted sum of N independent Rayleigh fading envelopes. Computer simulation results verify the tightness of the proposed bound for several values of N. The proposed bound can be efficiently applied in various wireless applications, such as satellite communications, equal-gain receivers, and radars.

Original language	English
Pages (from-to)	589-591
Number of pages	3
Journal	IEEE Communications Letters
Volume	9
Issue number	7
DOIs	https://doi.org/10.1109/LCOMM.2005.1461673
Publication status	Published - Jul 2005

Keywords

Equal-gain diversity
False alarm probability
Rayleigh fading
Sum of fading envelopes

ASJC Scopus subject areas

Modelling and Simulation
Computer Science Applications
Electrical and Electronic Engineering

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