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

Developed six decades ago, the Fast Fourier Transform transformed signal processing and still underpins innovations from 5G ...

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 ...

Discrete-time Fourier series and Fourier transforms including complex convolution: applications to linear systems. Discrete Fourier transforms and Fast Fourier algorithm.

This paper describes the "fractional Fourier transform," which admits computation by an algorithm that has complexity proportional to the fast Fourier transform algorithm. Whereas the discrete Fourier ...

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 ...

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 ...

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 ...