Spherical Harmonic Analysis and Model-Limited Extrapolation on the Sphere: Integral Equation Formulation

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dc.contributor.authorKennedy, Rodney
dc.contributor.authorZhang, Wen
dc.contributor.authorAbhayapala, Thushara
dc.coverage.spatialGold Coast Australia
dc.date.accessioned2015-12-10T22:14:52Z
dc.date.createdDecember 15-17 2008
dc.date.issued2008
dc.date.updated2016-02-24T10:59:04Z
dc.description.abstractThe classical problem of extrapolation of a bandlimited signal from limited time domain data is revisited for signals defined on the sphere. That is, given limited or incomplete measurements of a low pass signal on the unit sphere, find the unique extrapolation to the complete unit sphere. Signals defined on the unit sphere arise in a number of applications, such as beampatterns in azimuth and elevation and head related transfer functions. Our investigations explore the role of integral equation operators in characterizing the extrapolation problem which leads to an iterative algorithm analogous to that obtained in the time-frequency case.
dc.identifier.isbn9781424442423
dc.identifier.urihttp://hdl.handle.net/1885/50356
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.relation.ispartofseriesInternational Conference on Signal Processing and Communication Systems (ICSPCS 2008)
dc.sourceProceedings of International Conference on Signal Processing and Communication Systems (ICSPCS 2008)
dc.subjectKeywords: Band-limited signal; Beam pattern; Classical problems; Head related transfer function; Incomplete measurements; Integral equation formulation; Isotropic low pass signals; Iterative algorithm; Iterative algorithms; Low-pass; Spherical harmonic analysis; Ti Extrapolation; Integral equations; Isotropic low pass signals; Iterative algorithms; Spherical harmonic analysis
dc.titleSpherical Harmonic Analysis and Model-Limited Extrapolation on the Sphere: Integral Equation Formulation
dc.typeConference paper
local.bibliographicCitation.startpage6
local.contributor.affiliationKennedy, Rodney, College of Engineering and Computer Science, ANU
local.contributor.affiliationZhang, Wen, College of Engineering and Computer Science, ANU
local.contributor.affiliationAbhayapala, Thushara, College of Engineering and Computer Science, ANU
local.contributor.authoremailu8607590@anu.edu.au
local.contributor.authoruidKennedy, Rodney, u8607590
local.contributor.authoruidZhang, Wen, u2580478
local.contributor.authoruidAbhayapala, Thushara, u9701943
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor090609 - Signal Processing
local.identifier.ariespublicationu4334215xPUB202
local.identifier.doi10.1109/ICSPCS.2008.4813702
local.identifier.scopusID2-s2.0-67649641334
local.identifier.uidSubmittedByu4334215
local.type.statusPublished Version

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