Analytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequality

Handle URI:
http://hdl.handle.net/10754/564451
Title:
Analytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequality
Authors:
Shakir, Muhammad; Durrani, Tariq Salim; Alouini, Mohamed-Slim ( 0000-0003-4827-1793 )
Abstract:
This paper 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) across the cells. 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 and channel path gain matrices. In this context, we employ an approximation approach based on the estimation of probability density function (PDF) of Hadamard product of two matrices. A closed-form expression has been derived to capture the effect of variable user density in adjacent cells on optimal joint decoding capacity. The results of this paper demonstrate that the analytical HUB based on the proposed approximation approach converges to the theoretical results for medium range of signal to noise ratios and shows a comparable tighter bound on optimum joint decoding capacity. © 2011 IEEE.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Communication Theory Lab
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2011 8th International Symposium on Wireless Communication Systems
Conference/Event name:
2011 8th International Symposium on Wireless Communication Systems, ISWCS'11
Issue Date:
Nov-2011
DOI:
10.1109/ISWCS.2011.6125287
Type:
Conference Paper
ISSN:
21540217
ISBN:
9781612844022
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.authorShakir, Muhammaden
dc.contributor.authorDurrani, Tariq Salimen
dc.contributor.authorAlouini, Mohamed-Slimen
dc.date.accessioned2015-08-04T07:01:19Zen
dc.date.available2015-08-04T07:01:19Zen
dc.date.issued2011-11en
dc.identifier.isbn9781612844022en
dc.identifier.issn21540217en
dc.identifier.doi10.1109/ISWCS.2011.6125287en
dc.identifier.urihttp://hdl.handle.net/10754/564451en
dc.description.abstractThis paper 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) across the cells. 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 and channel path gain matrices. In this context, we employ an approximation approach based on the estimation of probability density function (PDF) of Hadamard product of two matrices. A closed-form expression has been derived to capture the effect of variable user density in adjacent cells on optimal joint decoding capacity. The results of this paper demonstrate that the analytical HUB based on the proposed approximation approach converges to the theoretical results for medium range of signal to noise ratios and shows a comparable tighter bound on optimum joint decoding capacity. © 2011 IEEE.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.titleAnalytical upper bound on optimum joint decoding capacity of Wyner GCMAC using hadamard inequalityen
dc.typeConference Paperen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentCommunication Theory Laben
dc.identifier.journal2011 8th International Symposium on Wireless Communication Systemsen
dc.conference.date6 November 2011 through 9 November 2011en
dc.conference.name2011 8th International Symposium on Wireless Communication Systems, ISWCS'11en
dc.conference.locationAachenen
dc.contributor.institutionDepartment of Electronic and Electrical Engineering, University of Strathclyde, 204 George Street, Glasgow, G1 1XW, United Kingdomen
kaust.authorShakir, Muhammaden
kaust.authorAlouini, Mohamed-Slimen
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