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On Spectral Concentration of Signals on the 2-Sphere Under a Generalized Moment Weighting Criterion

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dc.contributor.authorWei, Liying
dc.contributor.authorKennedy, Rodney
dc.coverage.spatialAalborg Denmark
dc.date.accessioned2015-12-10T23:02:09Z
dc.date.createdAugust 23-27 2010
dc.date.issued2010
dc.date.updated2016-02-24T11:02:35Z
dc.description.abstractThis paper formulates a spatially-limited signal energy concentration problem on the 2-sphere using a generalized moment criterion in the spectral domain. The set of optimal signals with maximum concentration for general positive spherical harmonic coefficient frequency weightings is obtained. Numerically solving the resulting integral equation optimization shows that this set of functions not only decays slower but also has higher sidelobes than the set of spherical Slepian functions. This result on the 2-sphere contrasts with the findings from the time-frequency analogy which compares the classical Slepian eigenfunctions with the minimum band- width basis functions for the fourth-moment bandwidth measure.
dc.identifier.urihttp://hdl.handle.net/1885/61883
dc.publisherEuropean Association for Signal Processing
dc.relation.ispartofseriesEuropean Signal Processing Conference (EUSIPCO 2010)
dc.sourceProceedings of the European Signal Processing Conference (EUSIPCO 2010)
dc.subjectKeywords: 2-sphere; Basis functions; Equation optimization; Frequency weightings; Generalized moments; Optimal signals; Side lobes; Signal energy; Spectral domains; Spherical harmonic coefficient; Time frequency; Eigenvalues and eigenfunctions; Harmonic analysis; O
dc.titleOn Spectral Concentration of Signals on the 2-Sphere Under a Generalized Moment Weighting Criterion
dc.typeConference paper
local.bibliographicCitation.lastpage1703
local.bibliographicCitation.startpage1700
local.contributor.affiliationWei, Liying, College of Engineering and Computer Science, ANU
local.contributor.affiliationKennedy, Rodney, College of Engineering and Computer Science, ANU
local.contributor.authoruidWei, Liying, u4271045
local.contributor.authoruidKennedy, Rodney, u8607590
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor090609 - Signal Processing
local.identifier.absseo890399 - Information Services not elsewhere classified
local.identifier.ariespublicationu4334215xPUB647
local.identifier.scopusID2-s2.0-84863804816
local.type.statusPublished Version

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