The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication Systems

We present novel general, simple, exact, and closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the ratio of the products of two independent α-μ variates, where all variates have identical values of alpha parameter. Obtained results are a...

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Main Authors:	Ana Matović, Edis Mekić, Nikola Sekulović, Mihajlo Stefanović, Marija Matović, Časlav Stefanović
Format:	Article
Language:	English
Published:	Hindawi Limited 2013-01-01
Series:	Mathematical Problems in Engineering
Online Access:	http://dx.doi.org/10.1155/2013/147106

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spelling	doaj-3aa7842ea7744ab6a99d408324007da62020-11-25T01:10:21ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472013-01-01201310.1155/2013/147106147106The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication SystemsAna Matović0Edis Mekić1Nikola Sekulović2Mihajlo Stefanović3Marija Matović4Časlav Stefanović5Faculty of Electronic Engineering, University of Niš, 18000 Niš, SerbiaState University of Novi Pazar, 36300 Novi Pazar, SerbiaThe School of Higher Technical Proffesional Education, 18000 Niš, SerbiaFaculty of Electronic Engineering, University of Niš, 18000 Niš, SerbiaFaculty of Electronic Engineering, University of Niš, 18000 Niš, SerbiaFaculty of Natural Sciences and Mathematics, University of Priština, 38220 Kosovska Mitrovica, SerbiaWe present novel general, simple, exact, and closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the ratio of the products of two independent α-μ variates, where all variates have identical values of alpha parameter. Obtained results are applied in analysis of multihop wireless communication systems in different fading transmission environments. The proposed theoretical analysis is also complemented by various graphically presented numerical results.http://dx.doi.org/10.1155/2013/147106
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ana Matović Edis Mekić Nikola Sekulović Mihajlo Stefanović Marija Matović Časlav Stefanović
spellingShingle	Ana Matović Edis Mekić Nikola Sekulović Mihajlo Stefanović Marija Matović Časlav Stefanović The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication Systems Mathematical Problems in Engineering
author_facet	Ana Matović Edis Mekić Nikola Sekulović Mihajlo Stefanović Marija Matović Časlav Stefanović
author_sort	Ana Matović
title	The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication Systems
title_short	The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication Systems
title_full	The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication Systems
title_fullStr	The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication Systems
title_full_unstemmed	The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication Systems
title_sort	distribution of the ratio of the products of two independent α-μ variates and its application in the performance analysis of relaying communication systems
publisher	Hindawi Limited
series	Mathematical Problems in Engineering
issn	1024-123X 1563-5147
publishDate	2013-01-01
description	We present novel general, simple, exact, and closed-form expressions for the probability density function (PDF) and cumulative distribution function (CDF) of the ratio of the products of two independent α-μ variates, where all variates have identical values of alpha parameter. Obtained results are applied in analysis of multihop wireless communication systems in different fading transmission environments. The proposed theoretical analysis is also complemented by various graphically presented numerical results.
url	http://dx.doi.org/10.1155/2013/147106
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The Distribution of the Ratio of the Products of Two Independent α-μ Variates and Its Application in the Performance Analysis of Relaying Communication Systems

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