# Discrete fourier transform

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Visualizing the DFT (Discrete Fourier Transform) matrix

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I love how its explanation was mapped to this equation through basic color coding. Eye-opening.

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The motivation for computing a fast Discrete Fourier Transform was the concern about verifying a nuclear arms treaty with the Soviet Union. A very much faster Fourier Transform was needed to plant sensors in the ground in countries surrounding the Soviet Union. After the invention of the FFT, sensors were planted which allowed locating nuclear explosions to within 15 kilometers of where they were occurring.

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Discrete Fourier Transform : MIT Mathlets

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Ocean simulation part one: using the discrete Fourier transform

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Visualizing the DFT (Discrete Fourier Transform) matrix

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An Intuitive Discrete Fourier Transform Tutorial

Mastering the Discrete Fourier Transform in One, Two or Several Dimensions: Pitfalls and Artifacts

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MATHEMATICS OF THE DISCRETE FOURIER TRANSFORM (DFT) WITH AUDIO APPLICATIONS SECOND EDITION

Explained: The Discrete Fourier Transform: The theories of an early-19th-century French mathematician have emerged from obscurity to become part of the basic language of engineering.