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An Introduction to Fourier Theory
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http://gershwin.ens.fr/vdaniel/Doc-Locale/Cours-Mirrored/Maths-Stuff/fourier/
A mathematically inclined introduction with illustrations and explanations of related theorems, its properties and numerical methods for calculating transforms.
Fast Fourier Transform
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http://mathworld.wolfram.com/FastFourierTransform.html
Article in MathWorld.
Fast Fourier Transforms
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http://en.wikipedia.org/wiki/Fast_Fourier_transform
Survey and history of FFT algorithms from Wikipedia.
Introduction to the Fourier Transform
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http://www.cs.unm.edu/~brayer/vision/fourier.html
Notes on applications to Image Processing.
Mathematics of the Discrete Fourier Transform (DFT)
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http://ccrma-www.stanford.edu/~jos/r320/
Notes by Julius O. Smith III, Stanford.
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