DocumentCode
1191619
Title
On the asymptotic convergence of B-spline wavelets to Gabor functions
Author
Unser, M. ; Aldroubi, A. ; Eden, M.
Author_Institution
Nat. Inst. of Health, Bethesda, MD, USA
Volume
38
Issue
2
fYear
1992
fDate
3/1/1992 12:00:00 AM
Firstpage
864
Lastpage
872
Abstract
A family of nonorthogonal polynomial spline wavelet transforms is considered. These transforms are fully reversible and can be implemented efficiently. The corresponding wavelet functions have a compact support. It is proven that these B-spline wavelets converge to Gabor functions (modulated Gaussian) pointwise and in all L/sub p/-norms with 1>
Keywords
convergence; signal processing; splines (mathematics); transforms; B-spline wavelets; Gabor functions; asymptotic convergence; cubic B-spline wavelet; nonorthogonal polynomial spline wavelet transforms; signal analysis; time/frequency localization; uncertainty principle; variance product; Continuous wavelet transforms; Convergence; Polynomials; Pulse modulation; Signal analysis; Spline; Time frequency analysis; Uncertainty; Wavelet analysis; Wavelet transforms;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.119742
Filename
119742
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