Wavelets

Modified Morlet wavelet

Modified Mexican hat, Modified Morlet and Dark soliton or Darklet wavelets are derived from hyperbolic (sech) (bright soliton) and hyperbolic tangent (tanh) (dark soliton) pulses. These functions are derived intuitively from the solutions of the nonlinear Schrödinger equation in the anomalous and normal dispersion regimes in a similar fashion to the way that the Morlet and the Mexican hat are derived.The modified Morlet is defined as: * v * t * e * v * t * e (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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Effects of Morlet wavelet parameters on results

There is one important parameter of Morlet wavelets, which is the width of the Gaussian (a.k.a. the "number of cycles"). In this video we will explore this parameter and see what effects different parameter values have on the results. I will also provide some advice for when you should use

From playlist OLD ANTS #3) Time-frequency analysis via Morlet wavelet convolution

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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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Morlet wavelets in time and in frequency

Convolution requires two time series: The data and the kernel. The data is what you already have (EEG/MEG/LFP/etc); here you will learn about the most awesomest kernel for time-frequency decomposition of neural time series data: The Morlet wavelet. The video uses files you can download fr

From playlist OLD ANTS #3) Time-frequency analysis via Morlet wavelet convolution

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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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Waves 6_2 Doppler Effect

Solution to problems dealing with the Doppler effect.

From playlist Physics - Waves

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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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Euler's formula and extracting power and phase

Extracting time-frequency information from the result of complex Morlet wavelet convolution involves reinterpreting Euler's formula (eik), which allows you to extract three important pieces of information from the result of complex Morlet wavelet convolution (power, phase, and the band-pas

From playlist OLD ANTS #3) Time-frequency analysis via Morlet wavelet convolution

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Convolution with many trials

So far, all of the analyses have used single-trial data. But most experiments involve many trials. In this video you will learn about performing wavelet convolution over many trials. You will also learn a few Matlab programming tricks that will help make your analysis faster and more elega

From playlist OLD ANTS #3) Time-frequency analysis via Morlet wavelet convolution

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(ML 7.7.A1) Dirichlet distribution

Definition of the Dirichlet distribution, what it looks like, intuition for what the parameters control, and some statistics: mean, mode, and variance.

From playlist Machine Learning

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Interview at CIRM : Hans-Georg Feichtinger

INTERVIEW The Jean Morlet Chair is a scientific collaboration between CIRM -CNRS-SMF-, Aix-Marseille Université and the City of Marseille. Two international calls are launched every year to attract innovative researchers in an area of mathematical sciences. Selected candidates who must co

From playlist Jean-Morlet Chair's holders - Interviews

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Frequency resolution of wavelet convolution

This video explains how you can measure 2 Hz activity in 200 ms. It's a clarification of a question that I often get. For more online courses about programming, data analysis, linear algebra, and statistics, see http://sincxpress.com/

From playlist OLD ANTS #3) Time-frequency analysis via Morlet wavelet convolution

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Complex Morlet 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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Inauguration de la Maison de chercheurs Jean-Morlet

La Maison de chercheurs Jean-Morlet a été inaugurée au Centre International de rencontres Mathématiques le vendredi 22 mars 2013. Vous pourrez entendre dans ce film les discours de: Patrick Foulon, directeur du CIRM Dominique Léger, Vice-président de la Fondation du Patrimoine, François T

From playlist Interviews en français - French interviews

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Jean-Claude Risset: Sound, music and wavelets in Marseille: A reminder of early sonic [...]

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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Parameters of Morlet wavelet (time-frequency trade-off)

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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