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A convergence theorem on a kind of band-limited functions with applications

A convergence theorem on a kind of band-limited functions with applications A theorem on the convergence of a particular sequence of bandlimited functions is proved. As its applications, the convergence of a speed up error energy reduction algorithm for extrapolating bandlimited functions in noiseless cases and the convergence of an iterative algorithm to obtain estimations of bandlimited functions in noise cases are derived. Both algorithms are the improved versions of the Papoulis-Gercheberg algorithm. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A convergence theorem on a kind of band-limited functions with applications

Acta Mathematicae Applicatae Sinica , Volume 2 (2) – Apr 6, 2005

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Publisher
Springer Journals
Copyright
Copyright © 1985 by Science Press and D. Reidel Publishing Company
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/BF01539480
Publisher site
See Article on Publisher Site

Abstract

A theorem on the convergence of a particular sequence of bandlimited functions is proved. As its applications, the convergence of a speed up error energy reduction algorithm for extrapolating bandlimited functions in noiseless cases and the convergence of an iterative algorithm to obtain estimations of bandlimited functions in noise cases are derived. Both algorithms are the improved versions of the Papoulis-Gercheberg algorithm.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Apr 6, 2005

References