Wavelets

List of wavelet-related transforms

A list of wavelet related transforms: * Continuous wavelet transform (CWT) * Discrete wavelet transform (DWT) * Multiresolution analysis (MRA) * Lifting scheme * Binomial QMF (BQMF) * Fast wavelet transform (FWT) * Complex wavelet transform * Non or undecimated wavelet transform, the downsampling is omitted * Newland transform, an orthonormal basis of wavelets is formed from appropriately constructed top-hat filters in frequency space * Wavelet packet decomposition (WPD), detail coefficients are decomposed and a variable tree can be formed * Stationary wavelet transform (SWT), no downsampling and the filters at each level are different * , depends on if the even or odd coefficients are selected in the downsampling * Second generation wavelet transform (SGWT), filters and wavelets are not created in the frequency domain * Dual-tree complex wavelet transform (DTCWT), two trees are used for decomposion to produce the real and complex coefficients * WITS: Where Is The Starlet, a collection of a hundredth of wavelet names in -let and associated multiscale, directional, geometric, representations, from activelets to x-lets through bandelets, chirplets, contourlets, curvelets, noiselets, wedgelets ... (Wikipedia).

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Wavelets: a mathematical microscope

Wavelet transform is an invaluable tool in signal processing, which has applications in a variety of fields - from hydrodynamics to neuroscience. This revolutionary method allows us to uncover structures, which are present in the signal but are hidden behind the noise. The key feature of w

From playlist Fourier

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Understanding Wavelets, Part 2: Types of Wavelet Transforms

Explore the workings of wavelet transforms in detail. •Try Wavelet Toolbox: https://goo.gl/m0ms9d •Ready to Buy: https://goo.gl/sMfoDr You will also learn important applications of using wavelet transforms with MATLAB®. Video Transcript: In the previous session, we discussed wavelet co

From playlist Understanding Wavelets

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Understanding Wavelets, Part 1: What Are Wavelets

This introductory video covers what wavelets are and how you can use them to explore your data in MATLAB®. •Try Wavelet Toolbox: https://goo.gl/m0ms9d •Ready to Buy: https://goo.gl/sMfoDr The video focuses on two important wavelet transform concepts: scaling and shifting. The concepts ca

From playlist Understanding Wavelets

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An introduction to the wavelet transform (and how to draw with them!)

The wavelet transform allows to change our point of view on a signal. The important information is condensed in a smaller space, allowing to easily compress or filter the signal. A lot of approximations are made in this video, like a lot of missing √2 factors. This choice was made to keep

From playlist Summer of Math Exposition Youtube Videos

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Wavelets and Multiresolution Analysis

This video discusses the wavelet transform. The wavelet transform generalizes the Fourier transform and is better suited to multiscale data. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an

From playlist Data-Driven Science and Engineering

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Martin Vetterli: Wavelets and signal processing: a match made in heaven

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist 30 years of wavelets

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Philipp Grohs: Wavelets, shearlets and geometric frames - Part 2

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist Analysis and its Applications

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To Understand the Fourier Transform, Start From Quantum Mechanics

Develop a deep understanding of the Fourier transform by appreciating the critical role it plays in quantum mechanics! Get the notes for free here: https://courses.physicswithelliot.com/notes-sign-up Sign up for my newsletter for additional physics lessons: https://www.physicswithelliot.c

From playlist Physics Mini Lessons

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Angela Kunoth: 25+ Years of Wavelets for PDEs

Abstract: Ingrid Daubechies' construction of orthonormal wavelet bases with compact support published in 1988 started a general interest to employ these functions also for the numerical solution of partial differential equations (PDEs). Concentrating on linear elliptic and parabolic PDEs,

From playlist Numerical Analysis and Scientific Computing

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31. Change of Basis; Image Compression

MIT 18.06 Linear Algebra, Spring 2005 Instructor: Gilbert Strang View the complete course: http://ocw.mit.edu/18-06S05 YouTube Playlist: https://www.youtube.com/playlist?list=PLE7DDD91010BC51F8 31. Change of Basis; Image Compression License: Creative Commons BY-NC-SA More information at

From playlist MIT 18.06 Linear Algebra, Spring 2005

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Stéphane Mallat - Apprentissage par invariants en grande dimension

Apprentissage par invariants en grande dimension : de l’image ou de la musique à la chimie quantique Huawei-IHÉS Workshop on Mathematical Sciences Tuesday, May 5th 2015

From playlist Huawei-IHÉS Workshop on Mathematical Sciences

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Hans Feichtinger: Wavelet theory, coorbit spaces and ramifications

Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b

From playlist 30 years of wavelets

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Glen Evenbly: "Using tensor networks to design improved wavelets for image compression"

Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021 Workshop II: Tensor Network States and Applications "Using tensor networks to design improved wavelets for image compression" Glen Evenbly - Georgia Institute of Technology, Physics Abstract: Tensor networks

From playlist Tensor Methods and Emerging Applications to the Physical and Data Sciences 2021

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Stéphane Mallat: A Wavelet Zoom to Analyze a Multiscale World

Abstract: Complex physical phenomena, signals and images involve structures of very different scales. A wavelet transform operates as a zoom, which simplifies the analysis by separating local variations at different scales. Yves Meyer found wavelet orthonormal bases having better propertie

From playlist Abel Lectures

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On the dyadic Hilbert transform – Stefanie Petermichl – ICM2018

Analysis and Operator Algebras Invited Lecture 8.10 On the dyadic Hilbert transform Stefanie Petermichl Abstract: The Hilbert transform is an average of dyadic shift operators. These can be seen as a coefficient shift and multiplier in a Haar wavelet expansion or as a time shifted operat

From playlist Analysis & Operator Algebras

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Stéphane Mallat: "Scattering Invariant Deep Networks for Classification, Pt. 3"

Graduate Summer School 2012: Deep Learning, Feature Learning "Scattering Invariant Deep Networks for Classification, Pt. 3" Stéphane Mallat, École Polytechnique Institute for Pure and Applied Mathematics, UCLA July 19, 2012 For more information: https://www.ipam.ucla.edu/programs/summer

From playlist GSS2012: Deep Learning, Feature Learning

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Waves 6_2 Doppler Effect

Solution to problems dealing with the Doppler effect.

From playlist Physics - Waves

Related pages

Complex wavelet transform | Multiresolution analysis | Binomial QMF | Continuous wavelet transform | Curvelet | Contourlet | Fast wavelet transform | Wavelet packet decomposition | Chirplet transform | Stationary wavelet transform | Wavelet | Noiselet | Discrete wavelet transform | Bandelet (computer science) | Lifting scheme