Cited by 15,979Mathematical Analysis and Transform MethodsImage and Signal Denoising MethodsDigital Filter Design and Implementation

Ten Lectures on Wavelets

Daubechies, Ingrid·1992·Computers in Physics

Abstract

Introduction Preliminaries and notation The what, why, and how of wavelets The continuous wavelet transform Discrete wavelet transforms: Frames Time-frequency density and orthonormal bases Orthonormal bases of wavelets and multiresolutional analysis Orthonormal bases of compactly supported wavelets More about the regularity of compactly supported wavelets Symmetry for compactly supported wavelet bases Characterization of functional spaces by means of wavelets Generalizations and tricks for orthonormal wavelet bases References Indexes.

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Crossref · 10.1137/1.9781611970104

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Authors
Daubechies, I.
Affiliations
Rutgers, The State University of New Jersey (US)
Corresponding author
Daubechies, Ingrid
Venue
Computers in Physics
Published
1992-01-01
Volume
6
Issue
6
Pages
697-697
ISSN
0894-1866 (ISSN-L)
OpenAlex
W2062024414
Cited by
15,979
References
0
Citations by year
2026: 132 · 2025: 91 · 2024: 72 · 2023: 93 · 2022: 95 · 2021: 300 · 2020: 347 · 2019: 346 · 2018: 376 · 2017: 381 · 2016: 462 · 2015: 613 · 2014: 611 · 2013: 664 · 2012: 701
FWCI
239.79
Type
journal article
Language
en
Open access
closed
Locations
  • Computers in Physics (publishedVersion)
  • Society for Industrial and Applied Mathematics eBooks (publishedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
Topics
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Image and Signal Denoising Methods
  • Physical Sciences › Computer Science › Signal Processing › Digital Filter Design and Implementation
Keywords
wavelets, continuous wavelet transform, discrete wavelet transform, wavelet frames, orthonormal bases, multiresolution analysis, compactly supported wavelets, wavelet regularity, time-frequency analysis

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