Simple Closed-Form Approximation to Ricean Sum Distributions

José A. López-Salcedo

doi:https://doi.org/10.1109/LSP.2008.2012223

Simple Closed-Form Approximation to Ricean Sum Distributions

José A. López-Salcedo

Department of Telecommunications and Systems Engineering

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

15 Citations (Scopus)

Abstract

This letter focuses on the approximation of Ricean sum distributions of L independent random variables. Although no closed-form expression is available for these exact distributions, a simple but accurate closed-form approximation is proposed. The expression is based on the Central Limit Theorem (CLT) for which an appropriate correction term is added. The result is a rather tight fit with the exact distribution for a wide range of input values and Ricean K-factors. © 2009, IEEE. All rights reserved.

Original language	English
Pages (from-to)	153-155
Journal	IEEE Signal Processing Letters
Volume	16
DOIs	https://doi.org/10.1109/LSP.2008.2012223
Publication status	Published - 1 Jan 2009

Keywords

Approximation methods
Rayleigh distribution
Ricean distribution
sum distribution

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AB - This letter focuses on the approximation of Ricean sum distributions of L independent random variables. Although no closed-form expression is available for these exact distributions, a simple but accurate closed-form approximation is proposed. The expression is based on the Central Limit Theorem (CLT) for which an appropriate correction term is added. The result is a rather tight fit with the exact distribution for a wide range of input values and Ricean K-factors. © 2009, IEEE. All rights reserved.

KW - Approximation methods

KW - Rayleigh distribution

KW - Ricean distribution

KW - sum distribution

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