The Fisher–Snedecor F Distribution: A Simple and Accurate Composite Fading Model

Seong Ki Yoo; Simon Cotton; Paschalis Sofotasios; Michail Matthaiou; Mikko Valkama; George Karagiannidis

doi:10.1109/lcomm.2017.2687438

The Fisher–Snedecor F Distribution: A Simple and Accurate Composite Fading Model

Seong Ki Yoo, Simon Cotton, Paschalis Sofotasios, Michail Matthaiou, Mikko Valkama, George Karagiannidis

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

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Abstract

We consider the use of the Fisher-Snedecor F distribution, which is defined as the ratio of two chi-squared variates, to model composite fading channels. In this context, the root-mean-square power of a Nakagami-m signal is assumed to be subject to variations induced by an inverse Nakagamim random variable. Comparisons with physical channel data demonstrate that the proposed composite fading model provides as good, and in most cases better, fit to the data compared to the generalized-K composite fading model. Motivated by this result, simple novel expressions are derived for the key statistical metrics and performance measures of interest.

Original language	English
Pages (from-to)	1661 - 1664
Number of pages	4
Journal	IEEE Communications Letters
Volume	21
Issue number	7
Early online date	24 Mar 2017
DOIs	https://doi.org/10.1109/lcomm.2017.2687438
Publication status	Published - Jul 2017
Externally published	Yes

Bibliographical note

This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/

Keywords

Nakagami-m fading signal
Statistical Anaysis
Fisher-Snedecor F distribution
chi-squared variates
inverse Nakagamim random variable

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10.1109/lcomm.2017.2687438Licence: CC BY

PublishedFinal published version, 1.55 MBLicence: CC BY

Cite this

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title = "The Fisher–Snedecor F Distribution: A Simple and Accurate Composite Fading Model",

abstract = "We consider the use of the Fisher-Snedecor F distribution, which is defined as the ratio of two chi-squared variates, to model composite fading channels. In this context, the root-mean-square power of a Nakagami-m signal is assumed to be subject to variations induced by an inverse Nakagamim random variable. Comparisons with physical channel data demonstrate that the proposed composite fading model provides as good, and in most cases better, fit to the data compared to the generalized-K composite fading model. Motivated by this result, simple novel expressions are derived for the key statistical metrics and performance measures of interest.",

keywords = "Nakagami-m fading signal, Statistical Anaysis, Fisher-Snedecor F distribution, chi-squared variates, inverse Nakagamim random variable",

author = "Yoo, {Seong Ki} and Simon Cotton and Paschalis Sofotasios and Michail Matthaiou and Mikko Valkama and George Karagiannidis",

note = "This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/",

year = "2017",

month = jul,

doi = "10.1109/lcomm.2017.2687438",

language = "English",

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AU - Yoo, Seong Ki

AU - Cotton, Simon

AU - Sofotasios, Paschalis

AU - Matthaiou, Michail

AU - Valkama, Mikko

AU - Karagiannidis, George

N1 - This work is licensed under a Creative Commons Attribution 3.0 License. For more information, see http://creativecommons.org/licenses/by/3.0/

PY - 2017/7

Y1 - 2017/7

N2 - We consider the use of the Fisher-Snedecor F distribution, which is defined as the ratio of two chi-squared variates, to model composite fading channels. In this context, the root-mean-square power of a Nakagami-m signal is assumed to be subject to variations induced by an inverse Nakagamim random variable. Comparisons with physical channel data demonstrate that the proposed composite fading model provides as good, and in most cases better, fit to the data compared to the generalized-K composite fading model. Motivated by this result, simple novel expressions are derived for the key statistical metrics and performance measures of interest.

AB - We consider the use of the Fisher-Snedecor F distribution, which is defined as the ratio of two chi-squared variates, to model composite fading channels. In this context, the root-mean-square power of a Nakagami-m signal is assumed to be subject to variations induced by an inverse Nakagamim random variable. Comparisons with physical channel data demonstrate that the proposed composite fading model provides as good, and in most cases better, fit to the data compared to the generalized-K composite fading model. Motivated by this result, simple novel expressions are derived for the key statistical metrics and performance measures of interest.

KW - Nakagami-m fading signal

KW - Statistical Anaysis

KW - Fisher-Snedecor F distribution

KW - chi-squared variates

KW - inverse Nakagamim random variable

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JO - IEEE Communications Letters

JF - IEEE Communications Letters

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The Fisher–Snedecor F Distribution: A Simple and Accurate Composite Fading Model

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Seongki Yoo

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The Fisher–Snedecor F Distribution: A Simple and Accurate Composite Fading Model

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Seongki Yoo

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