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Software (*) Fast Fourier Transform - Article in MathWorld. Fast Fourier Transforms - Survey and history of FFT algorithms from Wikipedia. An Introduction to Fourier Theory - A mathematically inclined introduction with illustrations and explanations of related theorems, its properties and numerical methods for calculating transforms. Introduction to the Fourier Transform - Notes on applications to Image Processing. Mathematics of the Discrete Fourier Transform (DFT) - Notes by Julius O. Smith III, Stanford.
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