Magic of the prolate spheroidal functions in various setups

F. Alberto Grunbaum; L. Miranian

doi:10.1117/12.449698

5 December 2001 Magic of the prolate spheroidal functions in various setups

F. Alberto Grunbaum, L. Miranian

Proceedings Volume 4478, Wavelets: Applications in Signal and Image Processing IX; (2001) https://doi.org/10.1117/12.449698
Event: International Symposium on Optical Science and Technology, 2001, San Diego, CA, United States

Abstract

The singular functions for the problem of recovering a time limited function from its Fourier transform in a certain band of frequencies are given, in the simplest case, by the prolate spheroidal wave functions. We explore a number of issues related to this problem including the effective computation of the corresponding Slepian functions for a polar cap on the surface of the Earth. The same method would work for a region on the sphere bounded by two parallels.

Citation Download Citation

F. Alberto Grunbaum and L. Miranian "Magic of the prolate spheroidal functions in various setups", Proc. SPIE 4478, Wavelets: Applications in Signal and Image Processing IX, (5 December 2001); https://doi.org/10.1117/12.449698

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