Number of Degrees of Freedom in the Paley-Wiener Space

被引：0
|
作者：
Tatiana Levitina
机构：
[1] Institut Computational Mathematics,
[2] Technische Universit ät Braunschweig,undefined
来源：
Sampling Theory in Signal and Image Processing | 2015年 / 14卷 / 1期
关键词：
Sampling theorem; finite Fourier transform; band– limited functions;
D O I：
10.1007/BF03549587
中图分类号：
学科分类号：
摘要：
The concept of the number of degrees of freedom of band-limited signals is discussed in the context of the concentration property of the finite Fourier transform eigenfunctions, or prolates. We show that the classes of band-limited signals obtained as a result of successive application of the truncated direct and truncated inverse Fourier transforms possess a finite number of degrees of freedom.
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页码：49 / 69
页数：20
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