Spherical Harmonic Analysis and Model-Limited Extrapolation on the Sphere: Integral Equation Formulation
Date
2008
Authors
Kennedy, Rodney
Zhang, Wen
Abhayapala, Thushara
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Institute of Electrical and Electronics Engineers (IEEE Inc)
Abstract
The classical problem of extrapolation of a bandlimited signal from limited time domain data is revisited for signals defined on the sphere. That is, given limited or incomplete measurements of a low pass signal on the unit sphere, find the unique extrapolation to the complete unit sphere. Signals defined on the unit sphere arise in a number of applications, such as beampatterns in azimuth and elevation and head related transfer functions. Our investigations explore the role of integral equation operators in characterizing the extrapolation problem which leads to an iterative algorithm analogous to that obtained in the time-frequency case.
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Keywords
Keywords: Band-limited signal; Beam pattern; Classical problems; Head related transfer function; Incomplete measurements; Integral equation formulation; Isotropic low pass signals; Iterative algorithm; Iterative algorithms; Low-pass; Spherical harmonic analysis; Ti Extrapolation; Integral equations; Isotropic low pass signals; Iterative algorithms; Spherical harmonic analysis
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Source
Proceedings of International Conference on Signal Processing and Communication Systems (ICSPCS 2008)
Type
Conference paper
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Restricted until
2037-12-31
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