DocumentCode
1099759
Title
Magnitude of the truncation error in sampling expansions of band-limited signals
Author
Butzer, Paul L. ; Engels, Wolfgang ; Scheben, Ursula
Author_Institution
Technische Hochschule, Aachen, Templegraben, Aachen, West Germany
Volume
30
Issue
6
fYear
1982
fDate
12/1/1982 12:00:00 AM
Firstpage
906
Lastpage
912
Abstract
Bounds are established for the truncation error in the sampling theorem for signals with radian bandwidth πW, W > 0. The assumptions are either differenfiability conditions upon the Fourier transform of the signal or on the rate of decay of the first derivative of the signal itself. Finally, our theorems are applied to two new examples, worked out in detail.
Keywords
Bandwidth; Finite wordlength effects; Fourier transforms; Geophysics; Helium; Hilbert space; Physics; Research and development; Sampling methods; Signal analysis;
fLanguage
English
Journal_Title
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
0096-3518
Type
jour
DOI
10.1109/TASSP.1982.1163982
Filename
1163982
Link To Document