Signal Concentration on Unit Sphere: An Azimuthally Moment Weighting Approach
Date
2010
Authors
Wei, Liying
Kennedy, Rodney
Lamahewa, Tharaka
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Publisher
Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
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 concentration in the spatial region, and 3) have better decaying tails than spherical Slepian functions, which form the benchmark set of basis functions for spherical filter design.
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Keywords
Keywords: Azimuthally moment measure; Cosmic microwave backgrounds; Out-of-band; Spherical filter; Spherical wavelets; Cosmology; Harmonic analysis; Microwave filters; Signal processing; Spheres Azimuthally moment measure; Cosmic microwave background (CMB); Out-of-band energy (FOBE); Spherical filter; Spherical wavelet
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Source
Proceedings of ICASSP 2010
Type
Conference paper
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Restricted until
2037-12-31
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