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

20 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

Access to Document

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

Cite this

@article{fb7cfd72d69d408580082152454c4c5f,

title = "Simple Closed-Form Approximation to Ricean Sum Distributions",

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. {\textcopyright} 2009, IEEE. All rights reserved.",

keywords = "Approximation methods, Rayleigh distribution, Ricean distribution, sum distribution",

author = "L{\'o}pez-Salcedo, {Jos{\'e} A.}",

year = "2009",

month = jan,

day = "1",

doi = "https://doi.org/10.1109/LSP.2008.2012223",

language = "English",

volume = "16",

pages = "153--155",

journal = "IEEE Signal Processing Letters",

issn = "1070-9908",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

TY - JOUR

T1 - Simple Closed-Form Approximation to Ricean Sum Distributions

AU - López-Salcedo, José A.

PY - 2009/1/1

Y1 - 2009/1/1

N2 - 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.

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

U2 - https://doi.org/10.1109/LSP.2008.2012223

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

M3 - Article

VL - 16

SP - 153

EP - 155

JO - IEEE Signal Processing Letters

JF - IEEE Signal Processing Letters

SN - 1070-9908

ER -

Simple Closed-Form Approximation to Ricean Sum Distributions

Abstract

Keywords

Access to Document

Fingerprint

Cite this