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Intrinsic Finite Dimensionality of Random Multipath Fields

Sadeghi, Parastoo; Abhayapala, Thushara; Kennedy, Rodney

Description

We study the dimensions or degrees of freedom of random multipath fields in wireless communications. Random multipath fields are presented as solutions to the wave equation in an infinite-dimensional vector space. We prove a universal bound for the dimension of random multipath field in the mean square error sense. The derived maximum dimension is directly proportional to the radius of the two-dimensional spatial region where the field is coupled to. Using the Karhunen-Loeve expansion of...[Show more]

dc.contributor.authorSadeghi, Parastoo
dc.contributor.authorAbhayapala, Thushara
dc.contributor.authorKennedy, Rodney
dc.contributor.editorConference Program Committee
dc.coverage.spatialToulouse France
dc.date.accessioned2015-12-13T23:02:27Z
dc.date.available2015-12-13T23:02:27Z
dc.date.createdMay 14-19 2006
dc.identifier.isbn142440469X
dc.identifier.urihttp://hdl.handle.net/1885/84895
dc.description.abstractWe study the dimensions or degrees of freedom of random multipath fields in wireless communications. Random multipath fields are presented as solutions to the wave equation in an infinite-dimensional vector space. We prove a universal bound for the dimension of random multipath field in the mean square error sense. The derived maximum dimension is directly proportional to the radius of the two-dimensional spatial region where the field is coupled to. Using the Karhunen-Loeve expansion of multipath fields, we prove that, among all random multipath fields, Isotropic random multipath achieves the maximum dimension bound. These results mathematically quantify the imprecise notion of rich scattering that is often used in multiple-antenna communication theory and show that even the richest scatterer (isotropic) has a finite intrinsic dimension.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.relation.ispartofseriesIEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006)
dc.sourceProceedings of the IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006)
dc.source.urihttp://www.icassp2006.org/
dc.subjectKeywords: Infinite dimensional vector space; Karhunen-Loeve expansion; Maximum dimension bound; Random multipath fields; Antennas; Information theory; Mean square error; Random processes; Wave equations; Wireless telecommunication systems; Multipath propagation
dc.titleIntrinsic Finite Dimensionality of Random Multipath Fields
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2006
local.identifier.absfor090609 - Signal Processing
local.identifier.ariespublicationMigratedxPub13121
local.type.statusPublished Version
local.contributor.affiliationSadeghi, Parastoo, College of Engineering and Computer Science, ANU
local.contributor.affiliationAbhayapala, Thushara, College of Engineering and Computer Science, ANU
local.contributor.affiliationKennedy, Rodney, College of Engineering and Computer Science, ANU
local.bibliographicCitation.startpageIV 17
local.bibliographicCitation.lastpageIV 20
dc.date.updated2015-12-12T07:47:23Z
local.identifier.scopusID2-s2.0-33947644748
CollectionsANU Research Publications

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