Wavelets

Stationary wavelet transform

The Stationary wavelet transform (SWT) is a wavelet transform algorithm designed to overcome the lack of translation-invariance of the discrete wavelet transform (DWT). Translation-invariance is achieved by removing the downsamplers and upsamplers in the DWT and upsampling the filter coefficients by a factor of in the th level of the algorithm. The SWT is an inherently redundant scheme as the output of each level of SWT contains the same number of samples as the input – so for a decomposition of N levels there is a redundancy of N in the wavelet coefficients. This algorithm is more famously known as "algorithme à trous" in French (word trous means holes in English) which refers to inserting zeros in the filters. It was introduced by Holschneider et al. (Wikipedia).

Stationary wavelet transform
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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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Effects of signal nonstationarities on the Fourier power spectrum

This is part of an online course on foundations and applications of the Fourier transform. The course includes 4+ hours of video lectures, pdf readers, exercises, and solutions. Each of the video lectures comes with MATLAB code, Python code, and sample datasets for applications. With 3000

From playlist Understand the Fourier transform

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The Two-Dimensional Discrete Fourier Transform

The two-dimensional discrete Fourier transform (DFT) is the natural extension of the one-dimensional DFT and describes two-dimensional signals like images as a weighted sum of two dimensional sinusoids. Two-dimensional sinusoids have a horizontal frequency component and a vertical frequen

From playlist Fourier

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Lecture: Discrete Fourier Transform (DFT) and the Fast Fourier Transform (FFT)

This lecture details the algorithm used for constructing the FFT and DFT representations using efficient computation.

From playlist Beginning Scientific Computing

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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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The stationarity assumption of wavelet convolution

This video lesson is part of a complete course on neuroscience time series analyses. The full course includes - over 47 hours of video instruction - lots and lots of MATLAB exercises and problem sets - access to a dedicated Q&A forum. You can find out more here: https://www.udemy.

From playlist NEW ANTS #3) Time-frequency analysis

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The Discrete Fourier Transform

This video provides a basic introduction to the very widely used and important discrete Fourier transform (DFT). The DFT describes discrete-time signals as a weighted sum of complex sinusoid building blocks and is used in applications such as GPS, MP3, JPEG, and WiFi.

From playlist Fourier

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

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From playlist GSS2012: Deep Learning, Feature Learning

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Stéphane Mallat: High dimensional learning from images to physics

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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Guy Nason: A test for local white noise (and the absence of aliasing) in locally stationary...

Abstract: This talk develops a new test for local white noise which also doubles as a test for the lack of aliasing in a locally stationary wavelet process. We compare and contrast our new test with the aliasing test for stationary time series due to Hinich and co-authors. We show that the

From playlist Probability and Statistics

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Professor Stéphane Mallat: "High-Dimensional Learning and Deep Neural Networks"

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From playlist Turing Lectures

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Michael Unser: Wavelets and stochastic processes: how the Gaussian world became sparse

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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Empirical Mode Decomposition (1D, univariate approach)

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From playlist Summer of Math Exposition Youtube Videos

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Electrical Engineering: Ch 19: Fourier Transform (2 of 45) What is a Fourier Transform? Math Def

Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the mathematical definition and equation of a Fourier transform. Next video in this series can be seen at: https://youtu.be/yl6RtWp7y4k

From playlist ELECTRICAL ENGINEERING 18: THE FOURIER TRANSFORM

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Stéphane Mallat - Apprentissage par invariants en grande dimension

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From playlist Huawei-IHÉS Workshop on Mathematical Sciences

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Stéphane Mallat: "Scattering Invariant Deep Networks for Classification, Pt. 1"

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From playlist GSS2012: Deep Learning, Feature Learning

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Fourier Transforms: Discrete Fourier Transform, Part 3

Data Science for Biologists Fourier Transforms: Discrete Fourier Transform Part 3 Course Website: data4bio.com Instructors: Nathan Kutz: faculty.washington.edu/kutz Bing Brunton: faculty.washington.edu/bbrunton Steve Brunton: faculty.washington.edu/sbrunton

From playlist Fourier

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Learning Multiscale Physics with Deep Neural Networks - Mallat - Workshop 2 - CEB T3 2018

Stephane Mallat (College de France/ENS) / 26.10.2018 Learning Multiscale Physics with Deep Neural Networks ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitte

From playlist 2018 - T3 - Analytics, Inference, and Computation in Cosmology

Related pages

Wavelet packet decomposition | Wavelet transform | Discrete wavelet transform