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Signal Concentration on Unit Sphere: A Local K-th Moment Zenithal Energy Concentration Measure

Wei, Liying; Kennedy, Rodney; Lamahewa, Tharaka

Description

We define a k-th moment zenithal energy concentration measure for a polar cap region on the unit sphere. The optimal functions are obtained with the maximal local k-th moment zenithal measure (LMZM). Compared to the spherical Slepian function in the cap region and the optimal function with the minimal global k-th moment zenithal measure (GMZM), we show that: 1) as k increases, the tail of the function with LMZM decays more quickly; 2) the main lobe of the optimal function with LMZM moves as the...[Show more]

dc.contributor.authorWei, Liying
dc.contributor.authorKennedy, Rodney
dc.contributor.authorLamahewa, Tharaka
dc.coverage.spatialCanberra Australia
dc.date.accessioned2015-12-10T22:53:49Z
dc.date.createdFebruary 2-5 2010
dc.identifier.isbn9781424454341
dc.identifier.urihttp://hdl.handle.net/1885/59510
dc.description.abstractWe define a k-th moment zenithal energy concentration measure for a polar cap region on the unit sphere. The optimal functions are obtained with the maximal local k-th moment zenithal measure (LMZM). Compared to the spherical Slepian function in the cap region and the optimal function with the minimal global k-th moment zenithal measure (GMZM), we show that: 1) as k increases, the tail of the function with LMZM decays more quickly; 2) the main lobe of the optimal function with LMZM moves as the maximum colatitude of the cap increases; while the spherical Slepian function does not change much and the function with GMZM is by definition invariant; and 3) LMZM has no obvious advantage over the spherical Slepian function and the GMZM optimal function in both the energy concentration and tail decay rate.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE Inc)
dc.relation.ispartofseriesAustralian Communications Theory Workshop (AusCTW 2010)
dc.sourceProceedings of the Australian Communications Theory Workshop (AusCTW 2010)
dc.subjectKeywords: Decay rate; Energy concentration; Optimal function; Polar cap region; Concentration (process); Decay (organic); Optimization; Technical presentations; Spheres
dc.titleSignal Concentration on Unit Sphere: A Local K-th Moment Zenithal Energy Concentration Measure
dc.typeConference paper
local.description.notesImported from ARIES
local.description.refereedYes
dc.date.issued2010
local.identifier.absfor090609 - Signal Processing
local.identifier.ariespublicationu4334215xPUB494
local.type.statusPublished Version
local.contributor.affiliationWei, Liying, College of Engineering and Computer Science, ANU
local.contributor.affiliationKennedy, Rodney, College of Engineering and Computer Science, ANU
local.contributor.affiliationLamahewa, Tharaka, College of Engineering and Computer Science, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.startpage97
local.bibliographicCitation.lastpage101
local.identifier.doi10.1109/AUSCTW.2010.5426775
local.identifier.absseo890199 - Communication Networks and Services not elsewhere classified
dc.date.updated2016-02-24T11:01:23Z
local.identifier.scopusID2-s2.0-77951432278
CollectionsANU Research Publications

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