Hadamard upper bound on optimum joint decoding capacity of Wyner Gaussian cellular MAC

Handle URI:
http://hdl.handle.net/10754/550186
Title:
Hadamard upper bound on optimum joint decoding capacity of Wyner Gaussian cellular MAC
Authors:
Shakir, Muhammad; Durrani, Tariq S; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
This article presents an original analytical expression for an upper bound on the optimum joint decoding capacity of Wyner circular Gaussian cellular multiple access channel (C-GCMAC) for uniformly distributed mobile terminals (MTs). This upper bound is referred to as Hadamard upper bound (HUB) and is a novel application of the Hadamard inequality established by exploiting the Hadamard operation between the channel fading matrix G and the channel path gain matrix Ω. This article demonstrates that the actual capacity converges to the theoretical upper bound under the constraints like low signal-to-noise ratios and limiting channel path gain among the MTs and the respective base station of interest. In order to determine the usefulness of the HUB, the behavior of the theoretical upper bound is critically observed specially when the inter-cell and the intra-cell time sharing schemes are employed. In this context, we derive an analytical form of HUB by employing an approximation approach based on the estimation of probability density function of trace of Hadamard product of two matrices, i.e., G and Ω. A closed form of expression has been derived to capture the effect of the MT distribution on the optimum joint decoding capacity of C-GCMAC. This article demonstrates that the analytical HUB based on the proposed approximation approach converges to the theoretical upper bound results in the medium to high signal to noise ratio regime and shows a reasonably tighter bound on optimum joint decoding capacity of Wyner GCMAC.
KAUST Department:
Physical Sciences and Engineering (PSE) Division
Citation:
Hadamard upper bound on optimum joint decoding capacity of Wyner Gaussian cellular MAC 2011, 2011 (1):110 EURASIP Journal on Wireless Communications and Networking
Publisher:
Springer Nature
Journal:
EURASIP Journal on Wireless Communications and Networking
Issue Date:
Sep-2011
DOI:
10.1186/1687-1499-2011-110
Type:
Article
ISSN:
1687-1499
Additional Links:
http://jwcn.eurasipjournals.com/content/2011/1/110
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorShakir, Muhammaden
dc.contributor.authorDurrani, Tariq Sen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-04-16T13:46:23Zen
dc.date.available2015-04-16T13:46:23Zen
dc.date.issued2011-09en
dc.identifier.citationHadamard upper bound on optimum joint decoding capacity of Wyner Gaussian cellular MAC 2011, 2011 (1):110 EURASIP Journal on Wireless Communications and Networkingen
dc.identifier.issn1687-1499en
dc.identifier.doi10.1186/1687-1499-2011-110en
dc.identifier.urihttp://hdl.handle.net/10754/550186en
dc.description.abstractThis article presents an original analytical expression for an upper bound on the optimum joint decoding capacity of Wyner circular Gaussian cellular multiple access channel (C-GCMAC) for uniformly distributed mobile terminals (MTs). This upper bound is referred to as Hadamard upper bound (HUB) and is a novel application of the Hadamard inequality established by exploiting the Hadamard operation between the channel fading matrix G and the channel path gain matrix Ω. This article demonstrates that the actual capacity converges to the theoretical upper bound under the constraints like low signal-to-noise ratios and limiting channel path gain among the MTs and the respective base station of interest. In order to determine the usefulness of the HUB, the behavior of the theoretical upper bound is critically observed specially when the inter-cell and the intra-cell time sharing schemes are employed. In this context, we derive an analytical form of HUB by employing an approximation approach based on the estimation of probability density function of trace of Hadamard product of two matrices, i.e., G and Ω. A closed form of expression has been derived to capture the effect of the MT distribution on the optimum joint decoding capacity of C-GCMAC. This article demonstrates that the analytical HUB based on the proposed approximation approach converges to the theoretical upper bound results in the medium to high signal to noise ratio regime and shows a reasonably tighter bound on optimum joint decoding capacity of Wyner GCMAC.en
dc.publisherSpringer Natureen
dc.relation.urlhttp://jwcn.eurasipjournals.com/content/2011/1/110en
dc.rightsThis is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://​creativecommons.​org/​licenses/​by/​2.​0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.en
dc.titleHadamard upper bound on optimum joint decoding capacity of Wyner Gaussian cellular MACen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.identifier.journalEURASIP Journal on Wireless Communications and Networkingen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Electronic and Electrical Engineering, University of Strathclyde, 204 George Street, Glasgow, Gl 1XW, UKen
kaust.authorAlouini, Mohamed-Slimen
kaust.authorShakir, Muhammaden
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