A unified framework for the statistical characterization of the SNR of amplify-and-forward multihop channels

Handle URI:
http://hdl.handle.net/10754/564252
Title:
A unified framework for the statistical characterization of the SNR of amplify-and-forward multihop channels
Authors:
Yilmaz, Ferkan; Kucur, Oǧuz; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
In this paper, we present a unified approach to analyze the exact statistical characteristics of the harmonic mean of N ≥ 2 statistically independent and non-identically distributed random variables (RVs), which we term the N-normalized harmonic distribution (i.e., NHD distribution), for the purpose of modeling the amplify-and-forward multihop relay channels. We present exact statistical metrics for the moments-generating function (MGF), moments (Mellin moments-generating function), probability density function (PDF) and cumulative distribution function (CDF) of the NHD distribution. Aside from unifying past results based on the geometric-mean approximation of the harmonic-mean, our approach relies on the algebraic combination of Mellin and Laplace transforms to obtain exact single integral expressions which can be easily computed using the Gauss-Laguerre quadrature rule or can be readily expressed in terms of the multivariable Meijer's G of Fox's H functions. Numerical and simulation results, performed to verify the correctness of the proposed formulation, are in perfect agreement. The proposed formulation can be used to analyze the performance measures of the amplify-and-forward multihop relay channels such as outage probability, outage capacity, average capacity and average bit error probabilities. © 2009 IEEE.
KAUST Department:
Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Physical Sciences and Engineering (PSE) Division; Communication Theory Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2010 17th International Conference on Telecommunications
Conference/Event name:
2010 17th International Conference on Telecommunications, ICT 2010
Issue Date:
2010
DOI:
10.1109/ICTEL.2010.5478760
Type:
Conference Paper
ISBN:
9781424452477
Appears in Collections:
Conference Papers; Physical Sciences and Engineering (PSE) Division; Electrical Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorYilmaz, Ferkanen
dc.contributor.authorKucur, Oǧuzen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-08-04T06:20:46Zen
dc.date.available2015-08-04T06:20:46Zen
dc.date.issued2010en
dc.identifier.isbn9781424452477en
dc.identifier.doi10.1109/ICTEL.2010.5478760en
dc.identifier.urihttp://hdl.handle.net/10754/564252en
dc.description.abstractIn this paper, we present a unified approach to analyze the exact statistical characteristics of the harmonic mean of N ≥ 2 statistically independent and non-identically distributed random variables (RVs), which we term the N-normalized harmonic distribution (i.e., NHD distribution), for the purpose of modeling the amplify-and-forward multihop relay channels. We present exact statistical metrics for the moments-generating function (MGF), moments (Mellin moments-generating function), probability density function (PDF) and cumulative distribution function (CDF) of the NHD distribution. Aside from unifying past results based on the geometric-mean approximation of the harmonic-mean, our approach relies on the algebraic combination of Mellin and Laplace transforms to obtain exact single integral expressions which can be easily computed using the Gauss-Laguerre quadrature rule or can be readily expressed in terms of the multivariable Meijer's G of Fox's H functions. Numerical and simulation results, performed to verify the correctness of the proposed formulation, are in perfect agreement. The proposed formulation can be used to analyze the performance measures of the amplify-and-forward multihop relay channels such as outage probability, outage capacity, average capacity and average bit error probabilities. © 2009 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectAmplify-and-forward multihop relay channelsen
dc.subjectCumulative distribution functionen
dc.subjectHarmonic meanen
dc.subjectMeijer's G of Fox's H functionen
dc.subjectMoments-generating functionen
dc.subjectProbability density functionen
dc.subjectStatistical momentsen
dc.titleA unified framework for the statistical characterization of the SNR of amplify-and-forward multihop channelsen
dc.typeConference Paperen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journal2010 17th International Conference on Telecommunicationsen
dc.conference.date4 April 2010 through 7 April 2010en
dc.conference.name2010 17th International Conference on Telecommunications, ICT 2010en
dc.conference.locationDohaen
dc.contributor.institutionElectronics Engineering Department, Gebze Institute of Technology, P.K. 141, 41400, Cayirova Gebze, Kocaeli, Turkeyen
kaust.authorYilmaz, Ferkanen
kaust.authorAlouini, Mohamed-Slimen
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