Integral transforms | Fourier analysis

List of Fourier-related transforms

This is a list of linear transformations of functions related to Fourier analysis. Such transformations map a function to a set of coefficients of basis functions, where the basis functions are sinusoidal and are therefore strongly localized in the frequency spectrum. (These transforms are generally designed to be invertible.) In the case of the Fourier transform, each basis function corresponds to a single frequency component. (Wikipedia).

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Math 139 Fourier Analysis Lecture 29: Finite Fourier Analysis; Fast Fourier Transform

Fourier coefficients of continuous functions on Z(N) (group of N-th roots of unity); Fourier inversion; Parseval-Plancherel formulae. Fast Fourier transform: how to best calculate the Fourier coefficients.

From playlist Course 8: Fourier Analysis

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The Fourier Transform and Derivatives

This video describes how the Fourier Transform can be used to accurately and efficiently compute derivatives, with implications for the numerical solution of differential equations. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow

From playlist Fourier

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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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Math 139 Fourier Analysis Lecture 15: The Fourier Transform

The Fourier Transform: improper integrals; functions of moderate decrease; properties of improper integrals of functions of moderate decrease; the Fourier transform (of a function of moderate decrease); rapidly decreasing functions; Schwartz class functions; Fourier transform of Schwartz c

From playlist Course 8: Fourier Analysis

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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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The Fourier Transform

This video will discuss the Fourier Transform, which is one of the most important coordinate transformations in all of science and engineering. Book Website: http://databookuw.com Book PDF: http://databookuw.com/databook.pdf These lectures follow Chapter 2 from: "Data-Driven Science an

From playlist Fourier

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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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Scientific Computing Skills 5. Lecture 18.

UCI Chem 5 Scientific Computing Skills (Fall 2012) Lec 18. Scientific Computing Skills View the complete course: http://ocw.uci.edu/courses/chem_5_scientific_computing_skills.html Instructor: Douglas Tobias, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info.

From playlist UC Irvine Chemistry 5: Scientific Computing Skills

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Fourier Transform

What is a Fourier Transform and how does it relate to the Fourier Series? In this video, we discuss the idea of the Fourier Cosine Transform.

From playlist Mathematical Physics II Uploads

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Neuroscience source separation 1a: Spectral separation

This is part one of a three-part lecture series I taught in a masters-level neuroscience course in fall of 2020 at the Donders Institute (the Netherlands). The lectures were all online in order to minimize the spread of the coronavirus. That's good for you, because now you can watch the en

From playlist Neuroscience source separation (3-part lecture series)

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Scientific Computing Skills 5. Lecture 16.

UCI Chem 5 Scientific Computing Skills (Fall 2012) Lec 16. Scientific Computing Skills View the complete course: http://ocw.uci.edu/courses/chem_5_scientific_computing_skills.html Instructor: Douglas Tobias, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info.

From playlist UC Irvine Chemistry 5: Scientific Computing Skills

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Understanding the Inner Workings of the Fourier Transform

In this video, I am going to attempt to explain the inner workings of the Fourier transform. This video is a condensed and combined version of the Fourier Transform series I created in Korean on my Youtube channel. I submitted this video to participate in the #3b1b #SoME1 math contest. Tha

From playlist Summer of Math Exposition Youtube Videos

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Patrick Gerard: Singular value dynamics and nonlinear Fourier transform for Hankel operators on the

The lecture was held within the framework of the Hausdorff Trimester Program Harmonic Analysis and Partial Differential Equations. 14.7.2014

From playlist HIM Lectures: Trimester Program "Harmonic Analysis and Partial Differential Equations"

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2D Fourier Transform Explained with Examples

Explains the two dimensional (2D) Fourier Transform using examples. Related videos: (see: http://www.iaincollings.com) • Introduction to Image Processing with 2D Fourier Transform https://youtu.be/tlwIWjeuu8U • 2D Image Downsampling and Upsampling Explained with Examples https://youtu.be/L

From playlist Fourier

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Maryna Viazovska (EPFL): Fourier interpolation

This lecture is about Fourier uniqueness and Fourier interpolation pairs. Suppose that we have two subsets X and Y of the Euclidean space. Can we reconstruct a function f from its restriction to the set X and the restriction of its Fourier transform to the set Y? We are interested in the p

From playlist Seminar Series "Arithmetic Applications of Fourier Analysis"

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Broad overview of EEG data analysis analysis

This lecture is a very broad introduction to the most commonly used data analyses in cognitive electrophysiology. There is no math, no Matlab, and no data to download. For more information about MATLAB programming: https://www.udemy.com/matlab-programming-mxc/?couponCode=MXC-MATLAB10 For

From playlist OLD ANTS #1) Introductions

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Dyon degeneracies from Moonshine by Justin David

Bangalore Area Strings Meeting - 2017 TIME : 31 July 2017 to 02 August 2017 VENUE:Madhava Lecture Hall, ICTS Bangalore Bengaluru now has a large group of string theorists, with 9 faculty members in the area, between ICTS and IISc. This is apart from a large group of postdocs and graduate

From playlist Bangalore Area Strings Meeting - 2017

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How 2 multiply day 2

Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/simuleios

From playlist Misc

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Math 139 Fourier Analysis Lecture 19: Fourier transform and the heat equation

Uniqueness of solution for the heat equation on the line. Steady-state heat equation in upper half plane. Poisson kernel.

From playlist Course 8: Fourier Analysis

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Wavelet transform | Z-transform | Coefficient | Discrete Hartley transform | Dirac comb | Fourier series | Hankel transform | Regressive discrete Fourier series | Fourier analysis | Modified discrete cosine transform | Discrete Fourier transform | Fourier–Bros–Iagolnitzer transform | Hartley transform | Map (mathematics) | Fractional Fourier transform | List of mathematic operators | Mellin transform | Sine and cosine transforms | Laplace transform | Rectangular mask short-time Fourier transform | Frequency | Complex plane | Nyquist–Shannon sampling theorem | Bispectrum | Two-sided Laplace transform | Chirplet transform | Function (mathematics) | Integral transform | Discrete-time Fourier transform | Discrete cosine transform | List of transforms | Discrete sine transform | Fast Fourier transform | Fourier-transform spectroscopy | Short-time Fourier transform | Walsh function | Basis function | Periodic summation | Discrete Chebyshev transform | Fourier transform on finite groups | Fourier transform | Harmonic analysis | Hadamard transform