DocumentCode
1287207
Title
Sampling theorem for wavelet subspaces: error estimate and irregular sampling
Author
Sun, Wenchang ; Zhou, Xingwei
Author_Institution
Inst. of Math., Nankai Univ., Tianjin, China
Volume
48
Issue
1
fYear
2000
fDate
1/1/2000 12:00:00 AM
Firstpage
223
Lastpage
226
Abstract
The error estimate is useful in the application of the sampling theorem. For the classical Shannon sampling theorem, various errors are widely studied, but for the sampling theorem in general wavelet subspaces, only the aliasing error is studied. In this paper, we study three other errors: truncation error, amplitude error, and time-jitter error. With the same technique, a result on irregular sampling is improved
Keywords
error analysis; signal sampling; wavelet transforms; Shannon sampling theorem; aliasing error; amplitude error; error estimate; general wavelet subspaces; irregular sampling; time-jitter error; truncation error; wavelet subspaces; Convergence; Educational programs; Error correction; Finite wordlength effects; Fourier transforms; Helium; Sampling methods; Signal analysis; Sun; Waves;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.815492
Filename
815492
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