The magic of the prolate spheroidal functions in various setups

被引：7

作者：

Grünbaum, FA ^{[1
]}

Miranian, L ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

WAVELETS: APPLICATIONS IN SIGNAL AND IMAGE PROCESSING IX | 2001年 / 4478卷

关键词：

Time and band limiting; Slepian functions; Numerical evaluation of prolate spheroidal wave functions;

D O I：

10.1117/12.449698

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：151 / 162

页数：12

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