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The fast Fourier transform and its applications E. Brigham
Publisher: Prentice Hall

The FFT, or fast fourier transform is an algorithm that essentially uses convolution techniques to efficiently find the magnitude and location of the tones that make up the signal of interest. The two top-level procedures defined which take a list of complex numbers and apply a Discrete Fourier Transform (DFT) or its inverse respectively to these lists of numbers. What you are probably seeing in other applications is overlapping: they may do a 4096 pt FFT on the first set of data, then move along 256 samples and do another 4096 pt FFT (on 3840 of the samples they have already used, plus a new 256 samples). We can often play with the FFT spectrum, by adding and removing successive With that requirement, the reconstructed waveform tries its best to match the beginning and endpoints for periodic repetition. Lars H, 9 April 2004: Because of the recent interest in Fourier transforms and related subjects on the Wiki, I thought I should get around to wikifying the following implementation of a Fast Fourier Transform, although when I originally sketched it, I rather saw it as a showcase for foreach (you'll see why in the code). The best of the best on Fourier theory. This text is designed for use in a senior undergraduate or graduate level course in However, If you are looking for how (to implement), I suggest the book Fast Fourier Transform by Brigham. This allows you to I wouldn't have thought so: a transient signal in this case is something so much shorter than the FFT sample length that its amplitude gets diminished by all the time it's not there. This article is making reference to Maxim's AN3722 "Developing FFT Applications with Low-Power Microcontrollers" that turned very difficult to find, as Maxim apparently wiped it from its servers! Brigham, has a very good description of the relationship between the discrete and continuous Fourier transforms, with pictures! Bracewell – The Best Of The Best On Fourier Theory. The book “The fast Fourier transform and its applications” by E. Fourier Transform and Its Applications, 2nd Edition (McGraw-Hill electrical and electronic engineering series) by Ronald N.