On the asymptotic convergence of B-spline wavelets to Gabor functions

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 Gaussia...

Full description

Saved in:
Bibliographic Details
Published in:IEEE transactions on information theory 1992-03, Vol.38 (2), p.864-872
Main Authors: Unser, M., Aldroubi, A., Eden, M.
Format: Article
Language:English
Subjects:
Applied sciences
Continuous wavelet transforms
Convergence
Exact sciences and technology
Information, signal and communications theory
Polynomials
Pulse modulation
Signal analysis
Signal and communications theory
Signal representation. Spectral analysis
Signal, noise
Spline
Telecommunications and information theory
Time frequency analysis
Uncertainty
Wavelet analysis
Wavelet transforms
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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
ISSN:0018-9448
1557-9654
DOI:10.1109/18.119742