Abstract
Several variations are given on the construction of orthonormal bases of wavelets with compact support. They have, respectively, more symmetry, more regularity, or more vanishing moments for the scaling function than the examples constructed in Daubechies [Comm. Pure Appl. Math., 41 (1988), pp. 909–996].
Keywords
Orthonormal basisMathematicsWaveletSymmetry (geometry)ScalingFunction (biology)Mathematical analysisPure mathematicsMultiresolution analysisAlgebra over a fieldWavelet transformGeometryDiscrete wavelet transformComputer science
Related Publications
Biorthogonal bases of compactly supported wavelets
Abstract Orthonormal bases of compactly supported wavelet bases correspond to subband coding schemes with exact reconstruction in which the analysis and synthesis filters coinci...
Orthonormal bases of compactly supported wavelets
Abstract We construct orthonormal bases of compactly supported wavelets, with arbitrarily high regularity. The order of regularity increases linearly with the support width. We ...
An Introduction to Wavelets
An Overview: From Fourier Analysis to Wavelet Analysis. The Integral Wavelet Transform and Time-Frequency Analysis. Inversion Formulas and Duals. Classification of Wavelets. Mul...
The Discrete Wavelet Transform
Abstract : In a general sense, this report represents an effort to clarify the relationship of discrete and continuous wavelet transforms. More narrowly, it focuses on bringing ...
Wavelets and signal processing
A simple, nonrigorous, synthetic view of wavelet theory is presented for both review and tutorial purposes. The discussion includes nonstationary signal analysis, scale versus f...
Publication Info
- Year
- 1993
- Type
- article
- Volume
- 24
- Issue
- 2
- Pages
- 499-519
- Citations
- 396
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
396
OpenAlex
Cite This
Ingrid Daubechies
(1993).
Orthonormal Bases of Compactly Supported Wavelets II. Variations on a Theme.
SIAM Journal on Mathematical Analysis
, 24
(2)
, 499-519.
https://doi.org/10.1137/0524031
Identifiers
- DOI
- 10.1137/0524031