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Conjugate Gradient Algorithm for Extrapolation of Sampled Bandlimited Signals on the 2-Sphere

Khalid, Zubair; Kennedy, Rodney; Sadeghi, Parastoo; Durrani, Salman

Description

In this paper, we consider the problem of signal extrapolation for discrete (i.e., sampled) signals on the sphere. We propose conjugate gradient based algorithm for estimating a signal on the sphere from limited or incomplete measurements in a spatial domain. We prove that the proposed algorithm is guaranteed to converge and show that it has faster convergence compared to the Papoulis algorithm. The results also show that the incomplete measurements distributed in different non-connected...[Show more]

dc.contributor.authorKhalid, Zubair
dc.contributor.authorKennedy, Rodney
dc.contributor.authorSadeghi, Parastoo
dc.contributor.authorDurrani, Salman
dc.coverage.spatialKyoto Japan
dc.date.accessioned2015-12-10T23:16:04Z
dc.date.createdMarch 25-30 2012
dc.identifier.isbn9781467300469
dc.identifier.urihttp://hdl.handle.net/1885/64907
dc.description.abstractIn this paper, we consider the problem of signal extrapolation for discrete (i.e., sampled) signals on the sphere. We propose conjugate gradient based algorithm for estimating a signal on the sphere from limited or incomplete measurements in a spatial domain. We prove that the proposed algorithm is guaranteed to converge and show that it has faster convergence compared to the Papoulis algorithm. The results also show that the incomplete measurements distributed in different non-connected spatial regions yield better extrapolation results, compared to the connected region case.
dc.format.mimetypeapplication/pdf
dc.language.isoen_AU
dc.publisherIEEE Signal Processing Society
dc.relation.ispartofIEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2012)
dc.subjectKeywords: 2-sphere; Band-limited signal; Conjugate gradient; Conjugate gradient algorithms; Connected region; Faster convergence; Incomplete measurements; Signal extrapolation; Spatial domains; Spatial regions; Spherical harmonics; Algorithms; Conjugate gradient me bandlimited signals; signal extrapolation; spherical harmonics; unit sphere
dc.titleConjugate Gradient Algorithm for Extrapolation of Sampled Bandlimited Signals on the 2-Sphere
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor090609 - Signal Processing
local.identifier.ariespublicationu4334215xPUB1018
local.type.statusPublished Version
local.contributor.affiliationKhalid, Zubair, College of Engineering and Computer Science, ANU
local.contributor.affiliationKennedy, Rodney, College of Engineering and Computer Science, ANU
local.contributor.affiliationDurrani, Salman, College of Engineering and Computer Science, ANU
local.contributor.affiliationSadeghi, Parastoo, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage3825
local.bibliographicCitation.lastpage3828
local.identifier.doi10.1109/ICASSP.2012.6288751
local.identifier.absseo970109 - Expanding Knowledge in Engineering
dc.date.updated2016-02-24T10:56:52Z
local.identifier.scopusID2-s2.0-84867594522
CollectionsANU Research Publications

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