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

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Ten Lectures on Wavelets

Daubechies, Ingrid·1992·Computers in Physics

DOI 10.1137/1.9781611970104

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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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Authors: Daubechies, I.
Affiliations: Rutgers, The State University of New Jersey (US)
Corresponding author: Daubechies, Ingrid
ORCID: Daubechies, Ingrid
Venue: Computers in Physics
Publisher: Society for Industrial and Applied Mathematics
Published: 1992-01-01
Volume: 6
Issue: 6
Pages: 697-697
ISSN: 0894-1866 (ISSN-L)
DOI: 10.1137/1.9781611970104
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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Ten Lectures on Wavelets

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