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The mathematics of numerical methods for Fourier and related transforms.

Software@

• An Introduction to Fourier Theory A mathematically inclined introduction with illustrations and explanations of related theorems, its properties and numerical methods for calculating transforms.
• Fast Fourier Transform Article in MathWorld.
• Fast Fourier Transforms Survey and history of FFT algorithms from Wikipedia.
• 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.
• The FFT Demystified A web text explaining the techniques of discrete and fast transforms.

 

 

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