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What is Fast Fourier Transform Explained about?
The fast Fourier transform (FFT) is an algorithm that computes the discrete Fourier transform (DFT) much more efficiently than naive algorithms. It reduces the complexity of computing the DFT from O(N^2) to O(NlogN). FFTs are widely used in engineering, science, and mathematics due to this enormous speed improvement, especially for large data sets. The Cooley-Tukey algorithm is the most commonly used FFT; it recursively breaks down the DFT into smaller DFTs along with complex multiplication factors.
- Author
- Iraj Toloue
- Language
- EN