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

Wei, Liying; Kennedy, Rodney


This 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...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Conference paper
Source: Proceedings of the European Signal Processing Conference (EUSIPCO 2010)


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