Statistics of α-μ Random Variables and Their Applications inWireless Multihop Relaying and Multiple Scattering Channels

Handle URI:
http://hdl.handle.net/10754/565857
Title:
Statistics of α-μ Random Variables and Their Applications inWireless Multihop Relaying and Multiple Scattering Channels
Authors:
Wang, Kezhi; Wang, Tian; Chen, Yunfei; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
Exact results for the probability density function (PDF) and cumulative distribution function (CDF) of the sum of ratios of products (SRP) and the sum of products (SP) of independent α-μ random variables (RVs) are derived. They are in the form of 1-D integral based on the existing works on the products and ratios of α-μ RVs. In the derivation, generalized Gamma (GG) ratio approximation (GGRA) is proposed to approximate SRP. Gamma ratio approximation (GRA) is proposed to approximate SRP and the ratio of sums of products (RSP). GG approximation (GGA) and Gamma approximation (GA) are used to approximate SP. The proposed results of the SRP can be used to calculate the outage probability (OP) for wireless multihop relaying systems or multiple scattering channels with interference. The proposed results of the SP can be used to calculate the OP for these systems without interference. In addition, the proposed approximate result of the RSP can be used to calculate the OP of the signal-To-interference ratio (SIR) in a multiple scattering system with interference. © 1967-2012 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Communication Theory Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Vehicular Technology
Issue Date:
1-Jun-2015
DOI:
10.1109/TVT.2014.2345258
Type:
Article
ISSN:
00189545
Appears in Collections:
Articles; Electrical Engineering Program; Communication Theory Lab; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorWang, Kezhien
dc.contributor.authorWang, Tianen
dc.contributor.authorChen, Yunfeien
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-08-11T13:43:42Zen
dc.date.available2015-08-11T13:43:42Zen
dc.date.issued2015-06-01en
dc.identifier.issn00189545en
dc.identifier.doi10.1109/TVT.2014.2345258en
dc.identifier.urihttp://hdl.handle.net/10754/565857en
dc.description.abstractExact results for the probability density function (PDF) and cumulative distribution function (CDF) of the sum of ratios of products (SRP) and the sum of products (SP) of independent α-μ random variables (RVs) are derived. They are in the form of 1-D integral based on the existing works on the products and ratios of α-μ RVs. In the derivation, generalized Gamma (GG) ratio approximation (GGRA) is proposed to approximate SRP. Gamma ratio approximation (GRA) is proposed to approximate SRP and the ratio of sums of products (RSP). GG approximation (GGA) and Gamma approximation (GA) are used to approximate SP. The proposed results of the SRP can be used to calculate the outage probability (OP) for wireless multihop relaying systems or multiple scattering channels with interference. The proposed results of the SP can be used to calculate the OP for these systems without interference. In addition, the proposed approximate result of the RSP can be used to calculate the OP of the signal-To-interference ratio (SIR) in a multiple scattering system with interference. © 1967-2012 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectGeneralized Gamma ratio approximation (GGRA)en
dc.subjectinterferenceen
dc.subjectmultihop relayingen
dc.subjectmultiple scatteringen
dc.subjectα ? μ random variables (RVs).en
dc.titleStatistics of α-μ Random Variables and Their Applications inWireless Multihop Relaying and Multiple Scattering Channelsen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journalIEEE Transactions on Vehicular Technologyen
kaust.authorAlouini, Mohamed-Slimen
kaust.authorWang, Tianen
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