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Fast Fourier Transform PDF

10 Pages·2016·English
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by ['Lucas Gallindo']| 2016| 10 pages| English

About Fast Fourier Transform

The document discusses fast Fourier transforms (FFTs), which can compute the discrete Fourier transform (DFT) much more quickly than directly using the definition. Specifically: 1. FFTs reduce the computation time of a DFT from O(N^2) to O(NlogN) operations, providing a huge speed improvement, especially for large datasets. 2. The basic ideas of FFTs were developed as early as 1805 by Gauss but were popularized in 1965 by Cooley and Tukey, who described the most commonly used algorithm today. 3. FFT algorithms like Cooley-Tukey's decompose the DFT into smaller transforms, making the computation much faster while producing the same result.

Detailed Information

Author:['Lucas Gallindo']
Publication Year:2016
Pages:10
Language:English
Format:PDF
Price:FREE
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