Gabor wavelet

Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 1)

The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single fu

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

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

Romanos Malikiosis: Full spark Gabor frames in finite dimensions

Romanos Malikiosis: Full spark Gabor frames in finite dimensions Abstract: The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. Gabor frame is the set of all time-frequency translates of a complex function and is a fundamental too

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 2)

Due to technical problems the blackboard is not visible. The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 3)

Due to technical problems the blackboard is not visible. The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

Karlheinz Gröchenig: Gabor Analysis and its Mysteries (Lecture 4)

The lecture was held within the framework of the Hausdorff Trimester Program Mathematics of Signal Processing. In Gabor analysis one studies the construction and properties of series expansions of functions with respect to a set of time-frequency shifts (phase space shifts) of a single f

From playlist HIM Lectures: Trimester Program "Mathematics of Signal Processing"

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

Joe Neeman: Gaussian isoperimetry and related topics II

The Gaussian isoperimetric inequality gives a sharp lower bound on the Gaussian surface area of any set in terms of its Gaussian measure. Its dimension-independent nature makes it a powerful tool for proving concentration inequalities in high dimensions. We will explore several consequence

From playlist Winter School on the Interplay between High-Dimensional Geometry and Probability

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

Yves Meyer: Detection of gravitational waves and time-frequency wavelets

Summary: Sergey Klimenko designed the algorithm used to detect gravitational waves. This algorithm depends on the time-frequency wavelets which have been elaborated by Ingrid Daubechies, Stéphane Jaffard, and Jean-Lin Journé. After describing the now famous discovery of gravitational waves

From playlist Abel Lectures

Speech Analysis and a Tour of the Math Behind it #SoME2

What you are looking at right now is a spectragram of my voice as I am speaking into a microphone. When I first saw this I was quite perplexed by all the strange shapes and features embedded within the image. It made me wonder just how speech analysis is done? I was so intrigued by this t

From playlist Summer of Math Exposition 2 videos

The Nature of a Wave

The What is a Wave? Tutorial describes in plain-language the characteristics of waves and the manner in which wave motion differs from other types of motion. Numerous examples, illustrations, and animations will help you get a good start with waves. You can find more information that supp

From playlist Vibrations and Waves

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

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

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

Mathematical representations and models: Professor Jared Tanner, Oxford University

Professor Jared Tanner is University Liaison Director (Oxford) at The Alan Turing Institute. He obtained his PhD (2002) in applied mathematics at the University of California at Los Angeles, and was a postdoctoral fellow at the University of California at Davis (Maths) and Stanford Univers

From playlist Data science classes

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

Graduate Summer School 2012: Deep Learning, Feature Learning "Scattering Invariant Deep Networks for Classification, Pt. 1" Stéphane Mallat, École Polytechnique Institute for Pure and Applied Mathematics, UCLA July 18, 2012 For more information: https://www.ipam.ucla.edu/programs/summer

From playlist GSS2012: Deep Learning, Feature Learning

Stéphane Mallat: "Scattering Invariant Deep Networks for Classification, Pt. 2"

Graduate Summer School 2012: Deep Learning, Feature Learning "Scattering Invariant Deep Networks for Classification, Pt. 2" Stéphane Mallat, École Polytechnique Institute for Pure and Applied Mathematics, UCLA July 18, 2012 For more information: https://www.ipam.ucla.edu/programs/summer

From playlist GSS2012: Deep Learning, Feature Learning

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

Lunch Lecture: Mimicking the Brain: Multi orientation Image Analysis

From playlist European Wolfram Technology Conference 2014