Fast Fourier Transform (FFT): An algorithm that computes the Discrete Fourier Transform (DFT) efficiently in O (N log N) time.

The fast Fourier transform, one of the most important algorithms of the 20th century, revolutionized signal processing. The algorithm allowed computers to quickly perform Fourier transforms ...

Researchers have developed a new algorithm that, in a large range of practically important cases, improves on the fast Fourier transform. Under some circumstances, the improvement can be dramatic ...

The time-stepping procedure between successive monitoring dates can be performed using fast Fourier transform calculations without the usual tedious time-stepping calculations in typical ...

Based on a fast Fourier transform technique, the method is an enhanced version of the algorithm of Carverhill and Clewlow (1992). The contribution of this paper is to improve their algorithm and to ...

D. J. Britten, F. W. Lemire, A Structure Theorem for Rings Supporting a Discrete Fourier Transform, SIAM Journal on Applied Mathematics, Vol. 41, No. 2 (Oct., 1981 ...

The methods of cyclic reduction and Fourier analysis are reviewed together with the FACR algorithm which combines the two methods. It is shown that the asymptotic operation count of the FACR algorithm ...

MIT researchers could speed up file compression using an improved Fourier transform algorithm A group of MIT researchers believe they’ve found a way to speed up audio, video, and image ...

The Fourier transform, which splits a complicated signal into individual pure frequencies, was devised over 200 years ago but only became widely used after the development of an algorithm called ...