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Physical Sciences and Mathematics Commons

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1991

Algorithms

Electrical Engineering and Computer Science - Technical Reports

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The Fast Fourier Transform, Per Brinch Hansen Dec 1991

The Fast Fourier Transform, Per Brinch Hansen

Electrical Engineering and Computer Science - Technical Reports

This tutorial discusses the fast Fourier transform, which has numerous applications in signal and image processing. The FFT computes the frequency components of a signal that has been sampled at n points in O( n log n) time. We explain the FFT and illustrate it by examples and Pascal algorithms. We assume that you are familiar with elementary calculus.