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Signal Concentration on Unit Sphere: An Azimuthally Moment Weighting Approach

Wei, Liying; Kennedy, Rodney; Lamahewa, Tharaka


Signals defined on the unit sphere cannot be simultaneously concentrated in a spatial region and in the spherical harmonic spectrum. In this paper we develop a unique spatial concentration measure, a kth moment azimuthal measure, for real-valued spectral-limited signals defined on the unit sphere. The optimal functions with the 2nd and 4th minimum azimuthally moment weighting are obtained and simulation results show: 1) the waveforms tend to be even as k increases, 2) have good energy...[Show more]

CollectionsANU Research Publications
Date published: 2010
Type: Conference paper
Source: Proceedings of ICASSP 2010
DOI: 10.1109/ICASSP.2010.5495878


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